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Role of ART and PrEP treatments in a stochastic HIV/AIDS epidemic model Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-12 Yantao Luo, Jianhua Huang, Zhidong Teng, Qun Liu
In this paper, a stochastic HIV/AIDS epidemic model is presented to study the synthetic effect of ART (antiretrovial therapy) and PrEP (pre-exposure prophylaxis) treatments among MSM ( men who have sex with men). Firstly, we give the global stability of disease-free equilibrium and the endemic equilibrium in terms of basic reproduction number for deterministic model. And then the existence of global
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Optimal control for both forward and backward discrete-time systems Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-12 Xin Chen, Yue Yuan, Dongmei Yuan, Xiao Ge
Forward discrete-time systems use past information to update the current state, while backward discrete-time systems use future information to update the current state. This study focuses on optimal control problems within the context of forward and backward discrete-time systems. We begin by investigating a general optimal control problem for both forward and backward discrete-time systems. Leveraging
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A numerical investigation on coupling of conforming and hybridizable interior penalty discontinuous Galerkin methods for fractured groundwater flow problems Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-11 Grégory Etangsale, Marwan Fahs, Vincent Fontaine, Hussein Hoteit
The present paper focuses on the numerical modeling of groundwater flows in fractured porous media using the codimensional model description. Therefore, fractures are defined explicitly as a -dimensional geometric object immersed in a -dimensional region and can act arbitrarily as a drain or a barrier. We numerically investigate a novel numerical strategy combining distinctive classes of conforming
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Improved well-balanced AWENO schemes with hydrostatic reconstruction for the Euler equations under gravitational fields Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-06 Qingcheng Fu, Zhen Gao, Yaguang Gu, Peng Li, Bao-Shan Wang
The Euler equations under gravitational fields allow the hydrostatic equilibrium states, which requires that the numerical scheme of the system should also have this characteristic. In our previous work, a well-balanced finite difference conservative AWENO scheme has been constructed to preserve the isothermal equilibrium state accurately (Fu et al., Appl. Numer. Math., 180:1-15, 2022). However, the
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Linearising anhysteretic magnetisation curves: A novel algorithm for finding simulation parameters and magnetic moments Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-06 Daniele Carosi, Fabiana Zama, Alessandro Morri, Lorella Ceschini
This paper proposes a new method for determining the simulation parameters of the Jiles–Atherton Model used to simulate the first magnetisation curve and hysteresis loop in ferromagnetic materials. The Jiles–Atherton Model is an important tool in engineering applications due to its relatively simple differential formulation. However, determining the simulation parameters for the anhysteretic curve
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Improved stability and stabilization criteria for multi-rate sampled-data control systems via novel delay-dependent states Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-06 Khanh Hieu Nguyen, Sung Hyun Kim
This paper aims to obtain less conservative stability and stabilization conditions for sampled-data linear systems with multiple sampling rates. To this end, three novel delay-dependent states resulting from sampling are introduced in the augmented state, enabling the exploitation of the sawtooth-type characteristics of the sampling-induced delay in both stability and stabilization processes. Additionally
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An error predict-correction formula of the load vector in the BSLM for solving three-dimensional Burgers’ equations Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-06 Sangbeom Park, Yonghyeon Jeon, Philsu Kim, Soyoon Bak
This paper aims to develop an algorithm reducing the computational cost of the backward semi-Lagrangian method for solving nonlinear convection–diffusion equations. For this goal, we introduce an error predict-correction formula (EPCF) of the load term for the Helmholtz system. The EPCF is built up to involve the same values as solving the perturbed Cauchy problem, which allows the reuse of the values
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Event-triggered control for switched systems with sensor faults via adaptive fuzzy observer Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-05 Ziyu Zhang, Xinsong Yang, Hak-Keung Lam, Zhengrong Xiang
This article lays emphasis on a mode-dependent event-triggered controller (MDETC) scheme for a kind of nonlinear switched systems with delay and sensor faults, where the state of the system, sensor faults, and nonlinear term are all unknown. By utilizing a fuzzy logic method and constructing adaptive laws, an adaptive fuzzy observer is designed to simultaneously estimate the states and sensor faults
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New discretization of ψ-Caputo fractional derivative and applications Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-04 M. Aurora P. Pulido, J. Vanterler C. Sousa, E. Capelas de Oliveira
In the present paper, two approximations to evaluate the -Caputo fractional derivative are developed using the linear and the quadratic polynomial interpolations. We present a study of the pointwise error for each approximation and illustrate some particular cases that correspond to approximations of the well known fractional derivatives, such as: Caputo, Katugampola and Hadamard fractional derivatives
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Shape optimization for the Stokes system with threshold leak boundary conditions Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-04 Jaroslav Haslinger, Raino A.E. Mäkinen
This paper discusses the process of optimizing the shape of systems that are controlled by the Stokes flow with threshold leak boundary conditions. In the theoretical part it focuses on studying the stability of solutions to the state problem in relation to a specific set of domains. In order to facilitate computation, the slip term and impermeability condition are regulated. In the computational part
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Numerical approximation of fractional SEIR epidemic model of measles and smoking model by using Fibonacci wavelets operational matrix approach Math. Comput. Simul. (IF 4.6) Pub Date : 2024-03-02 G Manohara, S Kumbinarasaiah
In the present article, we have considered two essential models (The epidemic model of measles and the smoking model). Across the globe, the primary cause of health problems is smoking. Measles can be controlled in infectious populations using the mathematical model representing the direct transmission of infectious diseases. The Caputo fractional derivative operator of order [0,1] is used to determine
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Voltage-balancing of two controllers for a DC-DC converter-based DC microgrid with experimental verification Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-29 Mohammad Afkar, Roghayeh Gavagsaz-Ghoachani, Matheepot Phattanasak, Serge Pierfederici
Imbalances are one of the major challenges encountered during DC microgrid operation. This study presents a DC-voltage-balancing strategy that uses a high-performance controller. Indirect-sliding-mode (ISM) control is used in the current control loop and voltage loop to achieve fast dynamics, and a conventional proportional-integral (PI) controller with optimized parameters is designed. The performances
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Event-triggered adaptive secure tracking control for nonlinear cyber–physical systems against unknown deception attacks Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-28 Yongjie Tian, Huiyan Zhang, Yongchao Liu, Ning Zhao, Kalidass Mathiyalagan
This article presents an event-triggered adaptive neural networks secure tracking control method for a class of nonlinear cyber–physical systems under unknown sensor and actuator deception attacks. To obtain the desired system performance, dynamic surface technique is applied to design controller and radial basis function neural networks are introduced to deal with unknown nonlinear and actuator attacks
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A random free-boundary diffusive logistic differential model: Numerical analysis, computing and simulation Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-24 M.-C. Casabán, R. Company, V.N. Egorova, L. Jódar
A free boundary diffusive logistic model finds application in many different fields from biological invasion to wildfire propagation. However, many of these processes show a random nature and contain uncertainties in the parameters. In this paper we extend the diffusive logistic model with unknown moving front to the random scenario by assuming that the involved parameters have a finite degree of randomness
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Multiscale malaria models and their uniform in-time asymptotic analysis Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-23 J. Banasiak, S.Y. Tchoumi
In this paper, we show that an extension of the classical Tikhonov–Fenichel asymptotic procedure applied to multiscale models of vector-borne diseases, with time scales determined by the dynamics of human and vector populations, yields a simplified model approximating the original one in a consistent, and uniform for large times, way. Furthermore, we construct a higher-order approximation based on
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A partial-integrable numerical simulation scheme of the derivative nonlinear Schrödinger equation Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-23 Tingxiao He, Yun Wang, Yingnan Zhang
In this paper, we present a novel approach for discretizing the derivative Nonlinear Schrödinger (DNLS) equation in an integrable manner. Our proposed method involves discretizing the time variable, resulting in a discrete system that converges to the DNLS equation in a natural limit. Furthermore, the discrete system retains the same set of infinitely conserved quantities as the original DNLS equation
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A posteriori error analysis and mesh adaptivity for a virtual element method solving the Stokes equations Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-23 Gianmarco Manzini, Annamaria Mazzia
We investigate an adaptive mesh strategy for the conforming virtual element method (VEM) of the Stokes equations proposed in Manzini and Mazzia (2022). The VEM generalizes the finite element approach to polygonal and polyehedral meshes in the framework of Galerkin approximation. The scheme of Manzini and Mazzia (2022) is inf-sup stable, converges optimally in the and energy norm for all polynomial
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3D numerical simulation of an anisotropic bead type thermistor and multiplicity of solutions Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-22 Manar Lahrache, Francisco Ortegón Gallego, Mohamed Rhoudaf
We perform some 3D numerical experiments for the approximation of the solutions to a bead type thermistor problem. We consider the case of a diagonal anisotropic diffusion matrix whose th entry is of the form , being the temperature inside the thermistor and the exponents , , lie in the interval . We first show some existence results for different notions of solutions, prove a maximum principle for
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Influence of the order between discretization and regularization in solving ill-posed problems Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-22 Laurence Grammont, Paulo B. Vasconcelos
Discretization and regularization are required steps to provide a stable approximation when solving integral equations of the first kind. The integral operator involved may be approximated by a sequence of finite rank operators and then the regularization procedure is applied. On the other hand, a regularization procedure can be conceived prior to the discretization. Both approaches are developed,
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A numerical technique for solving nonlinear singularly perturbed Fredholm integro-differential equations Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-20 Abhilipsa Panda, Jugal Mohapatra, Ilhame Amirali, Muhammet Enes Durmaz, Gabil M. Amiraliyev
This study deals with two numerical schemes for solving a class of singularly perturbed nonlinear Fredholm integro-differential equations. The nonlinear terms are linearized using the quasi-linearization technique. On the layer adapted Shishkin mesh, the numerical solution is initially calculated using the finite difference scheme for the differential part and quadrature rule for the integral part
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Mathematical analysis for an age-space structured HIV model with latency Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-20 Lidong Zhang, Jinliang Wang, Ran Zhang
This paper aims to study an HIV model with age structure and latently in a spatially homogeneous environment. By applying the fixed point theorem, we obtain the existence of the global solution and the global attractor for the model. We also identify the explicit formula of the basic reproduction number by the mean of the Laplace transformation, and confirm that this number predicts whether the infection
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Generalized finite integration method for 2D elastostatic and elastodynamic analysis Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-19 C.Z. Shi, H. Zheng, Y.C. Hon, P.H. Wen
In this paper, the elastostatic and elastodynamic problems are analyzed by using the meshless generalized finite integration method (GFIM). The idea of the GFIM is to construct the integration matrix and the arbitrary functions by piecewise polynomial with Kronecker product, which leads to a significant improvement in accuracy and convenience. However, the traditional direct integration in the GFIM
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Adaptive fuzzy event-triggered cooperative control for fractional-order delayed multi-agent systems with unknown control direction Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-17 Xiulan Zhang, Jiangteng Shi, Heng Liu, Fangqi Chen
In this paper, the cooperative control of fractional-order multi-agent systems with time delay and unknown control direction is studied by combining frequency distributed model and event-triggered mechanism. The Nussbaum function is employed to address the unmeasured control direction. Then, through the event-triggered mechanism, a corresponding controller is designed, which can guarantee that all
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A multi-domain spectral collocation method for the Fokker–Planck equation in an infinite channel Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-16 Jia Tan, Tian-jun Wang
In this paper, we propose a multi-domain spectral collocation method for partial differential equations on two-dimensional unbounded domains. Some approximation results on the composite generalized Laguerre-Legendre interpolation and quasi-orthogonal projecting are established, respectively. These results play a significant role in related spectral collocation method. As an application, a multi-domain
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A double auxiliary optimization constrained multi-objective evolutionary algorithm Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-16 Yongkuan Yang, Bing Yan, Xiangsong Kong, Jing Zhao
In evolutionary constrained multi-objective optimization, the use of auxiliary optimization is gradually attracting attention. It is noted that different forms of auxiliary optimization have different advantages. Combining these advantages in an appropriate manner can further improve the algorithm’s performance. Motivated by this inspiration, we propose a double auxiliary optimization constrained multi-objective
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Existence results for a class of four point nonlinear singular BVP arising in thermal explosion in a spherical vessel Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-16 Nazia Urus, Amit Kumar Verma
In this article, the following class of four-point singular non-linear boundary value problem (NLBVP) is considered which arises in thermal explosion in a spherical vessel where , is continuous on as well as satisfy Lipschitz condition with respect to and (one sided), , are constants, and . We provide an estimation of the region of existence of a solution of above singular NLBVP. We extend the theory
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The effect of curative and preventive optimal control measures on a fractional order plant disease model Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-15 Hegagi Mohamed Ali, Ismail Gad Ameen, Yasmeen Ahmed Gaber
In this paper, we present a novel mathematical model of fractional order for epidemic dynamics in plants, this fractional order model (FOM) in the sense of Caputo derivatives governing fractional differential equations (FDEs), introducing modified parameters to coincide both sides dimensions for FOM that means enhancing its accuracy in representing the real-life scenarios to control the spread of the
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A practical algorithm for the design of multiple-sized porous scaffolds with triply periodic structures Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-12 Yibao Li, Qing Xia, Seungyoon Kang, Soobin Kwak, Junseok Kim
In this study, we present a practical volume-merging method for generating multiple-sized porous structures that exhibit geometries with triply periodic minimal surface (TPMS) lattice structures. The proposed method consists of three stages: (1) designing the physical models with a signed distance field, (2) performing a merging operation for the porous scaffolds, and (3) assembling different units
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Pattern dynamics analysis of a reaction–diffusion network propagation model Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-06 Linhe Zhu, Siyi Chen, Shuling Shen
In this paper, considering the spatial propagation behavior of Internet rumor, we propose a new reaction–diffusion rumor propagation model with time delay in social networks. Based on this, we discuss the stability conditions at the equilibrium point and analyze the Turing instability for the approximation propagation system. Simultaneously, the amplitude equations for the approximation system are
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A parallel solver for fluid–structure interaction problems with Lagrange multiplier Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-05 Daniele Boffi, Fabio Credali, Lucia Gastaldi, Simone Scacchi
The aim of this work is to present a parallel solver for a formulation of fluid–structure interaction (FSI) problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The fluid subproblem, consisting of the non-stationary Stokes equations, is discretized in space by – finite elements, whereas the structure subproblem, consisting of the linear or finite
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An efficient scalar auxiliary variable partitioned projection ensemble method for simulating surface-groundwater flows Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-05 Nan Jiang, Ying Li
We propose an efficient, partitioned, scalar auxiliary variable rotational pressure correction backward Euler (SAV-RPC-BE) ensemble scheme for simulating surface-groundwater flows modeled by the Stokes-Darcy equations. The rotational pressure correction method decouples the Stokes equations into one elliptic equation for the fluid velocity and one Poisson equation for the pressure at each time step
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Behavior of analytical schemes with non-paraxial pulse propagation to the cubic–quintic nonlinear Helmholtz equation Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-04 Haiying Chen, Adele Shahi, Gurpreet Singh, Jalil Manafian, Baharak Eslami, Naief Alabed Alkader
In this paper, the cubic–quintic nonlinear Helmholtz equation which enables a pulse propagates in a planar waveguide with Kerr-like and quintic nonlinearities is studied. By noticing that the system is a non-integrable one, we could to get the diverse of solitary wave solutions by using standard -expansion technique and the -Expansion scheme. In particular, four forms of function solution including
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Theoretical guarantees for neural control variates in MCMC Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-03 Denis Belomestny, Artur Goldman, Alexey Naumov, Sergey Samsonov
In this paper, we propose a variance reduction approach for Markov chains based on additive control variates and the minimization of an appropriate estimate for the asymptotic variance. We focus on the particular case when control variates are represented as deep neural networks. We derive the optimal convergence rate of the asymptotic variance under various ergodicity assumptions on the underlying
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The uniform convergence of a weak Galerkin finite element method in the balanced norm for reaction–diffusion equation Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-03 Xia Tao, Jiaxiong Hao, Yu Zhang
In this paper, a weak Galerkin finite element method is implemented to solve the one-dimensional singularly perturbed reaction–diffusion equation. This weak Galerkin finite element scheme uses piecewise polynomial with degree in the interior part of each element and piecewise constant function at the nodes of each element. The existence and uniqueness of the weak Galerkin finite element solution are
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Three finite difference schemes for generalized nonlinear integro-differential equations with tempered singular kernel Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-01 Hao Zhang, Mengmeng Liu, Tao Guo, Da Xu
This paper presents and investigates three different finite difference schemes for solving generalized nonlinear integro-differential equations with tempered singular kernel. For the temporal derivative, the backward Euler (BE), Crank–Nicolson (CN), and second-order backward differentiation formula (BDF2) schemes are employed. The corresponding convolution quadrature rules are utilized for the integral
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Efficient color image steganography based on new adapted chaotic dynamical system with discrete orthogonal moment transforms Math. Comput. Simul. (IF 4.6) Pub Date : 2024-02-01 Mohamed Yamni, Achraf Daoui, Ahmed A. Abd El-Latif
In today's rapidly evolving digital landscape, safeguarding the secure transmission of sensitive information is paramount. Traditional steganography methods, while effective at data concealment, have grown vulnerable to brute force attacks in our age of powerful computing. This paper addresses the pressing need to bolster data transmission security. To address the challenges posed by limited key space
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Option pricing under multifactor Black–Scholes model using orthogonal spline wavelets Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-31 Dana Černá, Kateřina Fiňková
The paper focuses on pricing European-style options on multiple underlying assets under the Black–Scholes model represented by a nonstationary partial differential equation. The numerical solution of such equations is challenging in dimensions exceeding three, primarily due to the so-called curse of dimensionality. The main contribution of the paper is the design and analysis of the method based on
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Numerical bifurcation analysis of post-contact states in mathematical models of Micro-Electromechanical Systems Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-30 Charles J. Naudet, Alan E. Lindsay
This paper is a computational bifurcation analysis of a non-linear partial differential equation (PDE) characterizing equilibrium configurations in Micro electromechanical Systems (MEMS). MEMS are engineering systems that utilize electrostatic forces to actuate elastic surfaces. The potential equilibrium states of MEMS are described by solutions of a singularly perturbed elliptic nonlinear PDE. We
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Regular and chaotic dynamics in a 2D discontinuous financial market model with heterogeneous traders Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-29 Iryna Sushko, Fabio Tramontana
We develop a financial market model where three types of traders operate simultaneously: fundamentalists and chartists of two types, namely, trend followers and contrarians. The dynamics of this model is described by a two-dimensional discontinuous map defined by two linear functions, where one acts in the partition between two (parallel) discontinuity lines and the other one acts outside this partition
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Dynamics and optimal control for a spatial heterogeneity model describing respiratory infectious diseases affected by air pollution Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-29 Qi Zhou, Xining Li, Jing Hu, Qimin Zhang
Air pollution has a serious impact on the spread of respiratory infectious diseases. However, the concentration of air pollution is not the same in different places. In order to characterize the spatial heterogeneity and the diffusion of pollutants, this paper proposes a spatial heterogeneity model, where the transmission rate is closely related to air pollution. The dynamics are established in terms
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A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-26 S M Sivalingam, Pushpendra Kumar, Hieu Trinh, V. Govindaraj
This paper proposes a novel L1-based predictor–corrector method for the fractional differential equations involving generalized-Caputo type derivative. A decomposition scheme is used to obtain the three-point predictor–corrector formula. The error and stability of the proposed method are given in detail. A computer virus and a five-dimensional Hopfield neural network models are solved using the proposed
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Multi-regime foreign exchange rate model: Calibration and pricing Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-23 Ziqing Zhang
To price exotic foreign exchange (FX) options, a model needs to be selected for FX spot rate dynamics. The classic approach of modelling spot rates with Black–Scholes framework makes inappropriate assumptions of constant drift and volatility, resulting in mispricing. In this article, we investigate multi-regime Black–Scholes (MRBS) model for FX rate, with regime-switching behaviour of drift and volatility
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An iterative method for updating finite element models with connectivity constraints Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-22 Min Zeng, Yongxin Yuan
It is well known that the analytical matrices arising from the discretization of distributed parameter systems using the finite element technique are usually symmetric and banded. How to preserve the coefficient matrices of the updated model being of the same band structure is an important yet difficult challenge for model updating in structural dynamics. In this paper, an iterative method for updating
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Exploring the Julia and Mandelbrot sets of [formula omitted] using a four-step iteration scheme extended with [formula omitted]-convexity Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-20 Nabaraj Adhikari, Wutiphol Sintunavarat
Iterative approaches have been established to be fundamental for the creation of fractals. This paper introduces an approach to visualize Julia and Mandelbrot sets for a complex function of the form for all , where , using a four-step iteration scheme extended with -convexity. The study introduces an escape criteria for generating Julia and Mandelbrot sets using a four-step iterative method. It investigates
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Two effective methods for solution of the Gardner–Kawahara equation arising in wave propagation Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-20 Khalid K. Ali, Derya Yıldırım Sucu, Seydi Battal Gazi Karakoc
In this paper, we deal with the analytical and numerical solutions of the Gardner–Kawahara (G-K) equation, known as the extended Korteweg–de Vries equation, which describes solitary-wave propagation in media and occurs in the notion in plasmas and in notion of shallow water waves with surface tension and notion of magneto-acoustic waves. This study is split into two primary parts: in the first part
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Improved methods for the enrichment and analysis of the simplicial vector-valued linear finite elements Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-18 Francesco Dell’Accio, Allal Guessab, Federico Nudo
The simplicial vector linear finite elements are commonly employed for the numerical solution of the stationary Stokes equations. Nevertheless, they exhibit significant limitations when applied to more complex scenarios. In response to these shortcomings, Bernardi and Raugel introduced an enriched finite element which is a generalization of the conventional simplicial vector linear finite element.
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Turing patterns in a predator–prey model with double Allee effect Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-19 Fatao Wang, Ruizhi Yang, Xin Zhang
In this paper, a predator–prey model with double Allee effect and self-diffusion terms is considered. The stability of the coexisting equilibrium is studied by analyzing the eigenvalue spectrum, and the spatial Turing patterns are investigated by using the method of multiple scale analysis. The amplitude equation is obtained, which shows that the system supports patterns like spots, stripes, hexagonal
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Investigation of controllability and stability of fractional dynamical systems with delay in control Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-18 Anjapuli Panneer Selvam, Venkatesan Govindaraj
The primary objective of this research is to investigate the controllability and Hyers–Ulam stability of fractional dynamical systems represented by -Caputo fractional derivative with delay in control. To establish the necessary and sufficient conditions for assessing the controllability of linear fractional systems, which are notably distinguished by the presence of Mittag-Leffler functions, we employ
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Modified hybrid B-spline estimation based on spatial regulator tensor network for burger equation with nonlinear fractional calculus Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-17 Baiheng Cao, Xuedong Wu, Yaonan Wang, Zhiyu Zhu
In this paper, a modified hybrid B-spline approximation based on spatial regulator tensor network (MHBA-SRTN) is proposed for solving the application and the feasibility problems of fractional calculus-based Burger equation. The main innovation points include: (1) a dual singular kernel based fractional derivative operator is employed on the Burger’s equation with external force term to analyze the
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Non-negativity-preserving and maximum-principle-satisfying finite difference methods for Fisher’s equation with delay Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-15 Dingwen Deng, Mengting Hu
Little attention has been devoted to the numerical studies on maximum-principle-satisfying FDMs for Fisher’s equation with delay. Monotone difference schemes can preserve the maximum principle of the continuous problem. However, it is difficult to develop monotone difference schemes for Fisher’s equation with delay because of delay term. The main novelties of this study are to develop the maximum-
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A parallel compact Marine Predators Algorithm applied in time series prediction of Backpropagation neural network (BNN) and engineering optimization Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-14 Jeng-Shyang Pan, Zhen Zhang, Shu-Chuan Chu, Si-Qi Zhang, Jimmy Ming-Tai Wu
This study introduces a novel approach for integrating a compact mechanism into the Marine Predator Algorithm (MPA), subsequently proposing innovative parallel and communication strategies. The synergistic combination of these methodologies substantially augments the global search efficiency and accelerates the convergence rate of the original MPA. The paper culminates in presenting an enhanced version
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A stable meshless numerical scheme using hybrid kernels to solve linear Fredholm integral equations of the second kind and its applications Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-13 Tahereh Akbari, Mohsen Esmaeilbeigi, Davoud Moazami
The main challenge in kernel-based approximation theory and its applications is the conflict between accuracy and stability. Hybrid kernels can be used as one of the simplest and most effective tools to manage this challenge. This article uses a meshless scheme based on hybrid radial kernels (HRKs) to solve second kind Fredholm integral equations (FIEs). The method estimates the solution via the discrete
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Cross-diffusion mediated Spatiotemporal patterns in a predator–prey system with hunting cooperation and fear effect Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-13 Debjit Pal, Dipak Kesh, Debasis Mukherjee
Cooperation during hunting is a common predation plan of action among several large predators to increase their biomass raising capturing potential which can also produce fear in the prey and dispersal-influenced pattern creation is also relevant from both a fundamental and an applied standpoint. Considering these, we present a modified Leslie–Gower predator–prey model incorporating fear, intra-specific
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Off-lattice interfacial force scheme for simulation of multiphase flows using meshless lattice Boltzmann method Math. Comput. Simul. (IF 4.6) Pub Date : 2024-01-13 Seyed Hossein Musavi, Mahmud Ashrafizaadeh, Seyyed Meysam Khatoonabadi
Several off-lattice Boltzmann schemes have been proposed in the literature to generalize the classical lattice Boltzmann method to non-uniform and unstructured grids. Most of these methods can be categorized as the finite difference, finite volume, finite element, and meshless lattice Boltzmann methods. The main idea behind them has been to make the method more powerful and more efficient, particularly