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Operator splitting for coupled linear port-Hamiltonian systems Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-19 Jan Lorenz, Tom Zwerschke, Michael Günther, Kevin Schäfers
Operator splitting methods tailored to coupled linear port-Hamiltonian systems are developed. We present algorithms that are able to exploit scalar coupling, as well as multirate potential of these coupled systems. The obtained algorithms preserve the dissipative structure of the overall system and are convergent of second order. Numerical results for coupled mass–spring–damper chains illustrate the
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Analysis of α-fractal functions without boundary point conditions on the Sierpiński gasket Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-16 Gurubachan, V.V.M.S. Chandramouli, S. Verma
This note aims to manifest the existence of a class of α-fractal interpolation functions (α-FIFs) without boundary point conditions at the m-th level in the space consisting of continuous functions on the Sierpiński gasket (SG). Furthermore, we add the existence of the same class in the Lp space and energy space on SG. Under certain hypotheses, we show the existence of α-FIFs without boundary point
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Event-triggered sampling-based singularity-free fixed-time control for nonlinear systems subject to input saturation and unknown control directions Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-16 Xiaojing Qi, Shengyuan Xu
In this paper, the issue of event-triggered fixed-time tracking control is investigated for a class of nonlinear systems subject to unknown control directions (UCDs) and asymmetric input saturation. Firstly, to cope with the design challenge imposed by nondifferential saturation nonlinearity in the system, the asymmetric saturation function is approached by introducing a smooth nonlinear function with
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Threshold dynamics of a degenerated diffusive incubation period host–pathogen model with saturation incidence rate Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-16 Wenjie Li, Liuan Yang, Jinde Cao
In this paper, we consider an incubation period host–pathogen system with degenerated diffusion. The global compact attractor of the solution of the model is investigated using the κ-contraction method. Furthermore, the basic reproduction number is defined, and we discuss the dynamic analysis of a degenerated diffusion model. The obtained theoretical results are nontrivial and can be considered a continuation
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Efficient finite element strategy using enhanced high-order and second-derivative-free variants of Newton's method Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-13 Aymen Laadhari, Helmi Temimi
In this work, we propose a stable finite element approximation by extending higher-order Newton's method to the multidimensional case for solving nonlinear systems of partial differential equations. This approach relies solely on the evaluation of Jacobian matrices and residuals, eliminating the need for computing higher-order derivatives. Achieving third and fifth-order convergence, it ensures stability
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Dynamics of a nonlinear infection viral propagation model with one fixed boundary and one free boundary Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-13 Mingxin Wang
In this paper we study a nonlinear infection viral propagation model with diffusion, in which, the left boundary is fixed and with homogeneous Dirichlet boundary conditions, while the right boundary is free. We find that the habitat always expands to the half line , and that the virus and infected cells always die out when the , while the virus and infected cells have persistence properties when .
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Averaging principle for reflected stochastic evolution equations Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-13 Yifan Tian, Jiang-Lun Wu, Xiuwei Yin
An averaging principle for reflected stochastic evolution equations is established in this paper. To this end, we firstly construct the averaged equations corresponding to the original equations and then demonstrate, by utilizing the time discretization method, that the original equations converge to the corresponding averaged equations in probability, as the parameter goes to zero. Our model includes
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The guidance of neutral human populations maintains cooperation in the prisoner's dilemma game Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-12 Tao You, Linjiang Yang, Jian Wang, Peng Zhang, Jinchao Chen, Ying Zhang
In game theory, the emergence and maintenance of cooperative behavior within a group is a significant topic in evolutionary game theory and complex network theory. However, the limitations of a single mechanism in traditional networks restrict a thorough analysis of the sustenance and development of cooperative behavior, given the challenges posed by the diversity of social groups. To address this
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On the dynamics of a linear-hyperbolic population model with Allee effect and almost sure extinction Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-12 J.S. Cánovas, M. Muñoz-Guillermo
This paper considers a biological model in which two stages of the population, adults and preadults, are modeled by a Beverton-Holt type function and a logistic-type function. Two new models are proposed, each with an additional parameter representing the compensation. This new parameter is introduced in adult and juvenile populations. As a result, the Allee effect is observed in both models. The scenario
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Event-triggered impulsive control for nonlinear stochastic delayed systems and complex networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-12 Junyan Xu, Yang Liu, Jianlong Qiu, Jianquan Lu
In this paper, we probe the th moment exponential stability (ES) of stochastic delayed systems subject to event-triggered delayed impulsive control (ETDIC), where the impulsive intensities are assumed to be positive random variables. Based on event-triggered mechanism (ETM) in the sense of expectation, some new sufficient conditions are developed to ensure the stability of the addressed system with
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Multiple solitons and breathers on periodic backgrounds in the complex modified Korteweg–de Vries equation Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-12 Jiguang Rao, Dumitru Mihalache, Jingsong He
This study explores multiple soliton and breather solutions on periodic backgrounds in the complex modified Korteweg–de Vries equation. The compact determinant formulas and their detailed derivation process for these solutions are provided the bilinear method. We confirm that on periodic backgrounds, soliton amplitudes exhibit regular periodic behaviors, while breather amplitudes display quasi-periodic
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Multi-geometric discrete spectral problem with several pairs of zeros for Sasa–Satsuma equation Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-12 Su-Su Chen
Sasa–Satsuma equation is proposed to model the propagation and interaction of the sub-picosecond or femtosecond pulses in a monomode optical fiber. Different from several integrable equations in the Ablowitz–Kaup–Newell–Segur system, the higher-order zeros of Riemann–Hilbert problem for the Sasa–Satsuma appear in quadruples. A new approach to study the multi-geometric discrete spectral problem with
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Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application Appl. Comput. Harmon. Anal. (IF 2.6) Pub Date : 2024-09-12 Pei-Chun Su, Hau-Tieng Wu
We develop a data-driven optimal shrinkage algorithm, named extended OptShrink (eOptShrink), for matrix denoising with high-dimensional noise and a separable covariance structure. This noise is colored and dependent across samples. The algorithm leverages the asymptotic behavior of singular values and vectors of the noisy data's random matrix. Our theory includes the sticking property of non-outlier
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Numerical integration of mechanical forces in center-based models for biological cell populations Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-11 Per Lötstedt, Sonja Mathias
Center-based models are used to simulate the mechanical behavior of biological cells during embryonic development or cancer growth. To allow for the simulation of biological populations potentially growing from a few individual cells to many thousands or more, these models have to be numerically efficient, while being reasonably accurate on the level of individual cell trajectories. In this work, we
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Multiple exponential stability for short memory fractional impulsive Cohen-Grossberg neural networks with time delays Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-11 Jinsen Zhang, Xiaobing Nie
Different from the existing multiple asymptotic stability or multiple Mittag-Leffler stability, the multiple exponential stability with explicit and faster convergence rate is addressed in this paper for short memory fractional-order impulsive Cohen-Grossberg neural networks with time delay. Firstly, total equilibrium points of such -neuron neural networks can be ensured via the known fixed point theorem
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Fixed-time active fault-tolerant control for dynamical systems with intermittent faults and unknown disturbances Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-11 Xuanrui Cheng, Ming Gao, Wuxiang Huai, Yichun Niu, Li Sheng
In this article, the problem of fixed-time active fault-tolerant control is investigated for dynamical linear systems with intermittent faults and unknown disturbances. Unlike traditional active fault-tolerant control, fixed-time control is taken into account in this article since intermittent faults appear and disappear within a certain period of time. The entire active fault-tolerant control framework
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Graph-let based approach to evolutionary behaviors in chaotic time series Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-11 Shuang Yan, Changgui Gu, Huijie Yang
In the Graph-let based time series analysis, a time series is mapped into a series of graph-lets, representing the local states respectively. The bridges between successive graph-lets are reduced simply to a linkage with an information of occurrence. In the present work, we focus our attention on the bridge series, i.e., preserve the structures of the bridges and reduce the states into nodes. The bridge
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Global well-posedness of strong solutions to the two-dimensional inhomogeneous biaxial nematic liquid crystal flow with vacuum Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-11 Yiyi Feng, Yang Liu
This paper considers the inhomogeneous biaxial nematic liquid crystal flow in a smooth bounded domain , where the velocity and the orthogonal unit vector fields admit the Dirichlet and Neumann boundary condition, respectively. By applying piecewise estimate and continuity method, we get the global existence of strong solutions, provided that the basic energy is suitably small. Our result may be regarded
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Reinforcement learning-based adaptive event-triggered control of multi-agent systems with time-varying dead-zone Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-10 Xin Li, Dakuo He, Qiang Zhang, Hailong Liu
In this paper, a novel reinforcement learning (RL)-based adaptive event-triggered control problem is studied for non-affine multi-agent systems (MASs) with time-varying dead-zone. The purpose is to design an efficient event-triggered mechanism to achieve optimal control of MASs. Compared with the existing results, an improved smooth event-triggered mechanism is proposed, which not only overcomes the
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Stability analysis of random fractional-order nonlinear systems and its application Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-10 Ticao Jiao, Guangdeng Zong, Quanxin Zhu, Lei Wang, Haibin Sun
The research on stability analysis and control design for random nonlinear systems have been greatly popularized in recent ten years, but almost no literature focuses on the fractional-order case. This paper explores the stability problem for a class of random Caputo fractional-order nonlinear systems. As a prerequisite, under the globally and the locally Lipschitz conditions, it is shown that such
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Dynamical behaviors in perturbative longitudinal vibration of microresonators under the parallel-plate electrostatic force Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-10 Sengen Hu, Liangqiang Zhou
The dynamic model for perturbative longitudinal vibration of microresonators subjected to the parallel-plate electrostatic force, which can be converted into a cubic oscillator with nonlinear polynomials, is established in this manuscript. The orbits and global dynamical behaviors of the cubic oscillator at full state are studied both analytically and numerically. The expressions of homoclinic orbits
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Error analysis of an L2-type method on graded meshes for semilinear subdiffusion equations Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-10 Natalia Kopteva
A semilinear initial–boundary value problem with a Caputo time derivative of fractional order is considered, solutions of which typically exhibit a singular behaviour at an initial time. For an L2-type discretization of order , we give sharp pointwise-in-time error bounds on graded temporal meshes with arbitrary degree of grading.
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Pinning passivity and bipartite synchronization of fractional signed networks without gauge transformation Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-09 Yu Sun, Cheng Hu, Juan Yu
Recently, passivity of fractional complex networks has aroused much interest, but the concerned models contain only cooperative relationships and the competitive interaction among individuals is ignored. In this article, a class of fractional complex networks with a signed graph is considered and several conditions are derived to achieve the passivity of fractional signed networks by pinning strategies
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Estimation-based event-triggered fixed-time fuzzy tracking control for high-order nonlinear systems Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-09 Junchang Zhai, Huanqing Wang, Yuping Qin, Hongxia Cui
This paper investigates adaptive-estimation-based dynamic event-triggered fuzzy tracking control scheme for high-order nonlinear systems in fixed-time interval. The growing assumptions of coexistence unknown nonlinear uncertainties are removed with the aid of fuzzy logic systems. Contrary to the existing results, an adaptive estimation tactic is formulated to estimate the severe coexistence uncertainties
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Stable generalized finite element for two-dimensional and three-dimensional non-homogeneous interface problems Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-09 Jiajun Li, Ying Jiang
In this paper, we propose a Stable Generalized Finite Element Method (SGFEM) to address non-homogeneous elliptic interface problems with discontinuous coefficients. Our approach utilizes the homogenization method to transform non-homogeneous interface conditions into homogeneous ones, thereby facilitating the application of the SGFEM. Specifically, we construct functions that satisfy the jump conditions
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Zero-determinant strategy of finite games with implementation errors and its application into group decision-making Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-07 Zhipeng Zhang, Xiaotong Jiang, Chengyi Xia
The zero-determinant (ZD) strategy provides a new perspective for describing the interaction between players, and the errors among them will be an important role in designing ZD strategy, which attracts a lot of researches in various fields. This paper investigates how to design ZD strategy for multiplayer two-strategy repeated finite game under implementation errors. First, the implementation errors
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Coyote and Badger Optimization (CBO): A natural inspired meta-heuristic algorithm based on cooperative hunting Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-07 Mahmoud Khatab, Mohamed El-Gamel, Ahmed I. Saleh, Atallah El-Shenawy, Asmaa H. Rabie
Optimization techniques play a pivotal role in refining problem-solving methods across various domains. These methods have demonstrated their efficacy in addressing real-world complexities. Continuous efforts are made to create and enhance techniques in the realm of research. This paper introduces a novel technique that distinguishes itself through its clarity, logical mathematical structure, and robust
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An elementary approach based on variational inequalities for modeling a friction-based locomotion problem Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-07 Panyu Chen, Álvaro Mateos González, Laurent Mertz
We propose an elementary proof based on a penalization technique to show the existence and uniqueness of the solution to a system of variational inequalities modeling the friction-based motion of a two-body crawling system. Here for each body, the static and dynamic friction coefficients are equal.
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Convexity of the free boundary for two-dimensional compressible subsonic jet flow with vorticity Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-07 Xin Wang
In the recent work (, 2024) by Y. Li et al., the existence and uniqueness of the two-dimensional compressible subsonic jet flow with general vorticity were established. As a follow-up research, we will investigate the geometry shape of the free boundary for the compressible subsonic rotational jet flow. It is proved that if the nozzle is concave to the fluid, then the free boundary for the jet flow
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Construction of pairwise orthogonal Parseval frames generated by filters on LCA groups Appl. Comput. Harmon. Anal. (IF 2.6) Pub Date : 2024-09-07 Navneet Redhu, Anupam Gumber, Niraj K. Shukla
The generalized translation invariant (GTI) systems unify the discrete frame theory of generalized shift-invariant systems with its continuous version, such as wavelets, shearlets, Gabor transforms, and others. This article provides sufficient conditions to construct pairwise orthogonal Parseval GTI frames in satisfying the local integrability condition (LIC) and having the Calderón sum one, where
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A payoff equality perspective for evolutionary games: Mental accounting and cooperation promotion Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-06 Yandi Liu, Yonghui Li
The secret behind cooperation with the present profit-pursuing nature has been unveiled via the Evolutionary Game Theory and models. However, the payoff equality is not sufficiently explored. This paper proposes a simple but efficient way to focus on the synergetic behaviors of payoff equality and cooperation improvement. Herein, the classical Evolutional Game model is re-evaluated from the perspective
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Dynamical properties of a stochastic tumor–immune model with comprehensive pulsed therapy Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-05 Wei Li, Bingshuo Wang, Dongmei Huang, Vesna Rajic, Junfeng Zhao
In this paper, a stochastic tumor–immune model with comprehensive pulsed therapy is established by taking stochastic perturbation and pulsed effect into account. Some properties of the model solutions are given in the form of the Theorems. Firstly, we obtain the equivalent solutions of the tumor–immune system by through three auxiliary equations, and prove the system solutions are existent, positive
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A second order Hamiltonian neural model Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-05 E. Amoroso, C. Colaiacomo, G. D’Aguì, P. Vergallo
In this paper we establish the existence of one bounded periodic weak solution for a nonlinear parametric differential problem via variational methods.
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Linear programming with infinite, finite, and infinitesimal values in the right-hand side Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-03 Marco Cococcioni, Lorenzo Fiaschi
The goal of this work is to propose a new type of constraint for linear programs: inequalities having infinite, finite, and infinitesimal values in the right-hand side. Because of the nature of such constraints, the feasible region polyhedron becomes more complex, since its vertices can be represented by non-purely finite coordinates, and so is the optimum of the problem. The introduction of such constraints
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The reputation-based reward mechanism promotes the evolution of fairness Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-03 Lili Deng, Rugen Wang, Ying Liao, Ronghua Xu, Cheng Wang
In real life, a good reputation generally brings positive returns to individuals. For example, merchants with numerous good reviews usually gain higher profits. Considering this in the ultimatum game, we propose a reputation-based reward mechanism to investigate the evolution of fairness. Specifically, individuals' reputations evolve dynamically based on the outcomes of games. At the same time, we
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Explicit exponential Runge–Kutta methods for semilinear time-fractional integro-differential equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-03 Jun Zhou, Hao Zhang, Mengmeng Liu, Da Xu
In this work, we consider and analyze explicit exponential Runge–Kutta methods for solving semilinear time-fractional integro-differential equation, which involves two nonlocal terms in time. Firstly, the temporal Runge–Kutta discretizations follow the idea of exponential integrators. Subsequently, we utilize the spectral Galerkin method to introduce a fully discrete scheme. Then, we mainly focus on
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Numerical discretization of initial–boundary value problems for PDEs with integer and fractional order time derivatives Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-03 Zaid Odibat
This paper is mainly concerned with introducing a numerical method for solving initial–boundary value problems with integer and fractional order time derivatives. The method is based on discretizing the considered problems with respect to spatial and temporal domains. With the help of finite difference methods, we transformed the studied problem into a set of fractional differential equations. Then
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A generalized scalar auxiliary variable approach for the Navier–Stokes-[formula omitted]/Navier–Stokes-[formula omitted] equations based on the grad-div stabilization Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-03 Qinghui Wang, Pengzhan Huang, Yinnian He
In this article, based on the grad-div stabilization, we propose a generalized scalar auxiliary variable approach for solving a fluid–fluid interaction problem governed by the Navier–Stokes-/Navier–Stokes- equations. We adopt the backward Euler scheme and mixed finite element approximation for temporal-spatial discretization, and explicit treatment for the interface terms and nonlinear terms. The proposed
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Stability analysis of a flocculation model incorporating cell size, time delay, and control Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-03 Dongdong Ni, Wanbiao Ma, Qinglai Wei
The influence of algal cell size on nutrient absorption, and the time delay in reproduction is paramount in biological terms. Furthermore, the control is necessary during algal flocculation harvesting and sewage treatment. Therefore, we investigated the properties of a single cell algal flocculation model with time delay, size structure and control. First, we introduced a dimensionless model. Then
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[formula omitted]-dressing approach and [formula omitted]-soliton solutions of the general reverse-space nonlocal nonlinear Schrödinger equation Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-03 Feng Zhang, Xiangpeng Xin, Pengfei Han, Yi Zhang
Using the -dressing method, we study the general reverse-space nonlocal nonlinear Schrödinger (nNLS) equation. Beginning with a 3 × 3 matrix -problem, the associated spatial and time spectral problems are obtained through two linear constraint equations. Furthermore, the gauge equivalence between the Heisenberg chain equation and the general reverse-space nNLS equation is established. By employing
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Some identities on degenerate harmonic and degenerate higher-order harmonic numbers Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-02 Taekyun Kim, Dae San Kim
The harmonic numbers and higher-order harmonic numbers appear frequently in several areas which are related to combinatorial identities, many expressions involving special functions in analytic number theory, and analysis of algorithms. The aim of this paper is to study the degenerate harmonic and degenerate higher-order harmonic numbers, which are respectively degenerate versions of the harmonic and
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Second-order non-uniform and fast two-grid finite element methods for non-linear time-fractional mobile/immobile equations with weak regularity Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-02 Zhijun Tan
This paper introduces a novel temporal second-order fully discrete approach of finite element method (FEM) and its fast two-grid FEM on non-uniform meshes, which aims to solve non-linear time-fractional variable coefficient mobile/immobile (MIM) equations with a solution exhibiting weak regularity. The proposed method utilizes the averaged L1 formula on graded meshes in the temporal domain to handle
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Improved algorithm for the optimal quantization of single- and multivariate random functions Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-02 Liyang Ma, Daniel Conus, Wei-Min Huang, Paolo Bocchini
The Functional Quantization (FQ) method was developed for the approximation of random processes with optimally constructed finite sets of deterministic functions (quanta) and associated probability masses. The quanta and the corresponding probability masses are collectively called a “”. A method called “Functional Quantization by Infinite-Dimensional Centroidal Voronoi Tessellation” (FQ-IDCVT) was
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Nonlinear conjugate gradient method for vector optimization on Riemannian manifolds with retraction and vector transport Appl. Math. Comput. (IF 3.5) Pub Date : 2024-09-02 Kangming Chen, Ellen Hidemi Fukuda, Hiroyuki Sato
In this paper, we propose nonlinear conjugate gradient methods for vector optimization on Riemannian manifolds. The concepts of Wolfe and Zoutendjik conditions are extended to Riemannian manifolds. Specifically, the existence of intervals of step sizes that satisfy the Wolfe conditions is established. The convergence analysis covers the vector extensions of the Fletcher–Reeves, conjugate descent, and
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Unconditionally maximum principle-preserving linear method for a mass-conserved Allen–Cahn model with local Lagrange multiplier Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-01 Junxiang Yang, Junseok Kim
In this work, we present a conservative Allen–Cahn (CAC) equation and investigate its unconditionally maximum principle-preserving linear numerical scheme. The operator splitting strategy is adopted to split the CAC model into a conventional AC equation and a mass correction equation. The standard finite difference method is used to discretize the equations in space. In the first step, the temporal
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A novel Gauss–Jacobi quadrature for multiscale Boltzmann solvers Appl. Math. Lett. (IF 2.9) Pub Date : 2024-09-01 Lu Wang, Hong Liang, Jiangrong Xu
In this paper, we introduce a novel Gauss–Jacobi quadrature rule designed for infinite intervals, which is specifically applied to the velocity discretization in multi-scale Boltzmann solvers. Our method utilizes a newly formulated bell-shaped weight function for numerical integration. We establish the relationship between this new quadrature and the classical Gauss–Jacobi, as well as the Gauss–Hermite
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Simultaneous space–time Hermite wavelet method for time-fractional nonlinear weakly singular integro-partial differential equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-31 Sudarshan Santra, Ratikanta Behera
An innovative simultaneous space–time Hermite wavelet method has been developed to solve weakly singular fractional-order nonlinear integro-partial differential equations in one and two dimensions with a focus whose solutions are intermittent in both space and time. The proposed method is based on multi-dimensional Hermite wavelets and the quasilinearization technique. The simultaneous space–time approach
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Finite time stability of nonlinear impulsive stochastic system and its application to neural networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-31 Jingying Liu, Quanxin Zhu
In this paper, we employ the Lyapunov theory to generalize the finite time stability (FTS) results from general deterministic impulsive systems to impulsive stochastic time-varying systems, which overcomes inherent challenges. Sufficient conditions for the FTS of the system under stabilizing and destabilizing impulses are established by using the method of average dwell interval (ADT). For FTS of stabilizing
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Nodal solutions for a nonlocal fourth order equation of Kirchhoff type Appl. Math. Lett. (IF 2.9) Pub Date : 2024-08-31 Ruyun Ma, Meng Yan, Tingting Zhang
We study the bifurcation behavior of nodal solutions for the Kirchhoff type beam equation where is a parameter, and are smooth functions. We obtain the existence of nodal solutions under some suitable conditions. The proof of our main result is based upon bifurcation techniques.
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Improved growth estimate for one-dimensional sixth-order Boussinesq equation with logarithmic nonlinearity Appl. Math. Lett. (IF 2.9) Pub Date : 2024-08-31 Zhuang Han, Runzhang Xu
This paper provides an improved exponential growth estimate, surpassing the growth rate given in the previous work. This finding elucidates the impact of the power index in the logarithmic nonlinearity on the growth behavior of the solution to the initial boundary value problem for the one-dimensional sixth-order nonlinear Boussinesq equation with logarithmic nonlinearity.
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Vector multispaces and multispace codes Appl. Math. Comput. (IF 3.5) Pub Date : 2024-08-30 Mladen Kovačević
Basic algebraic and combinatorial properties of finite vector spaces in which individual vectors are allowed to have multiplicities larger than 1 are derived. An application in coding theory is illustrated by showing that multispace codes that are introduced here may be used in random linear network coding scenarios, and that they generalize standard subspace codes (defined in the set of all subspaces
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Analytically pricing volatility options and capped/floored volatility swaps with nonlinear payoffs in discrete observation case under the Merton jump-diffusion model driven by a nonhomogeneous Poisson process Appl. Math. Comput. (IF 3.5) Pub Date : 2024-08-30 Sanae Rujivan
In this paper, we introduce novel analytical solutions for valuating volatility derivatives, including volatility options and capped/floored volatility swaps, employing discrete sampling within the framework of the Merton jump-diffusion model, which is driven by a nonhomogeneous Poisson process. The absence of a comprehensive understanding of the probability distribution characterizing the realized
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Adaptive distributed unknown input observer for linear systems Appl. Math. Comput. (IF 3.5) Pub Date : 2024-08-30 Dan-Dan Zhou, Ran Zhao
This paper studies the adaptive distributed unknown input observer (ADUIO) for linear systems with local outputs, which contains a group of local observers under directed graph. The difficulty is the adaptive estimation of global output for the systems with unknown inputs. To solve the problem, disturbance decoupling principle and leader-following consensus strategy are integrated to estimate local
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Mathematical derivation of a unified equations for adjoint lattice Boltzmann method in airfoil and wing aerodynamic shape optimization Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-30 H. Jalali Khouzani, R. Kamali-Moghadam
Unified equations of the adjoint lattice Boltzmann method (ALBM) are derived for five applicable objective functions in 2D/3D aerodynamic shape optimization problems. The derived equations include the adjoint equation, boundary condition, terminal condition and gradient of the cost function. In this research, firstly, these relations are extracted for each objective in details and then the general
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Sliding mode observers for set-valued Lur’e systems with uncertainties beyond observational range Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-30 Samir Adly, Jun Huang, Ba Khiet Le
In this paper, we introduce a new sliding mode observer for Lur’e set-valued dynamical systems, particularly addressing challenges posed by uncertainties not within the standard range of observation. Traditionally, most ofLuenberger-like observers and sliding mode observer have been designed only for uncertainties in the range of observation. Central to our approach is the treatment of the uncertainty
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From Lévy walks to fractional material derivative: Pointwise representation and a numerical scheme Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-30 Łukasz Płociniczak, Marek A. Teuerle
The fractional material derivative appears as the fractional operator that governs the dynamics of the scaling limits of Lévy walks - a stochastic process that originates from the famous continuous-time random walks. It is usually defined as the Fourier–Laplace multiplier, therefore, it can be thought of as a pseudo-differential operator. In this paper, we show that there exists a local representation
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A stochastic averaging mathematical framework for design and optimization of nonlinear energy harvesters with several electrical DOFs Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-30 Kailing Song, Michele Bonnin, Fabio L. Traversa, Fabrizio Bonani
Energy harvesters for mechanical vibrations are electro-mechanical systems designed to capture ambient dispersed kinetic energy, and to convert it into usable electrical power. The random nature of mechanical vibrations, combined with the intrinsic non-linearity of the harvester, implies that long, time domain Monte-Carlo simulations are required to assess the device performance, making the analysis
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Adaptive least-squares methods for convection-dominated diffusion-reaction problems Comput. Math. Appl. (IF 2.9) Pub Date : 2024-08-30 Zhiqiang Cai, Binghe Chen, Jing Yang
This paper studies adaptive least-squares finite element methods for convection-dominated diffusion-reaction problems. The least-squares methods are based on the first-order system of the primal and dual variables with various ways of imposing outflow boundary conditions. The coercivity of the homogeneous least-squares functionals are established, and the a priori error estimates of the least-squares
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The uniqueness of steady sonic–subsonic solution to hydrodynamic model for semiconductors Appl. Math. Lett. (IF 2.9) Pub Date : 2024-08-30 Siying Li, Yansheng Ma, Guojing Zhang
In this paper, we study the uniqueness of the stationary sonic–subsonic solution to the isentropic hydrodynamic model of semiconductors with sonic boundary. We provide a new method to improve the proof of the uniqueness of the steady-state sonic–subsonic solution, even for the general isentropic case. In detail, we apply the exponential variation method combining a series of modifications with respect
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New type of solutions for the modified Korteweg–de Vries equation Appl. Math. Lett. (IF 2.9) Pub Date : 2024-08-30 Xing-yu Liu, Bin-he Lu, Da-jun Zhang
In this letter we report a new type of multi-soliton solutions for the modified Korteweg–de Vries (mKdV) equation. These solutions contain functions of the trigonometric solitons and classical solitons simultaneously. A new bilinear form of the mKdV equation is introduced to derive these solutions. The obtained solutions display as solitons living on a periodic background, which are analyzed and illustrated