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Robust convergence result of discontinuous Galerkin stabilization method for two-dimensional reaction–diffusion equation with discontinuous source term Int. J Comput. Math. (IF 1.8) Pub Date : 2024-03-13 Kumar Rajeev Ranjan, S. Gowrisankar
A reaction–diffusion problem with discontinuous source term and Dirichlet's boundary conditions on the unit square is considered in this paper. The proposed problem has been discretized using a com...
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Forward starting options pricing under a regime-switching jump-diffusion model with Wishart stochastic volatility and stochastic interest rate Int. J Comput. Math. (IF 1.8) Pub Date : 2024-03-12 Guohe Deng, Shuai Liu
Vanilla options become effective immediately after they are entered, while some exotic options will only come to effective some time after they are bought or sold. Forward starting options are one ...
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Exponential Euler method for stiff stochastic differential equations with additive fractional Brownian noise Int. J Comput. Math. (IF 1.8) Pub Date : 2024-03-11 Minoo Kamrani, Kristian Debrabant, Nahid Jamshidi
We discuss a system of stochastic differential equations with a stiff linear term and additive noise driven by fractional Brownian motions (fBms) with Hurst parameter H>12, which arise e.g. from sp...
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Numerical performances based artificial neural networks to deal with the computer viruses spread on the complex networks Int. J Comput. Math. (IF 1.8) Pub Date : 2024-03-07 A. A. Alderremy, J. F. Gómez-Aguilar, Zulqurnain Sabir, Shaban Aly, J. E. Lavín-Delgado, José R. Razo-Hernández
This paper shows the outcomes of computer virus propagation (CVP) model, represented with susceptible, exposed, infected, quarantine and recovered computers (SEIRQ), classes based mathematical mode...
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A random mathematical model to describe the antibiotic resistance depending on the antibiotic consumption: the Acinetobacter baumannii colistin-resistant case in Valencia, Spain Int. J Comput. Math. (IF 1.8) Pub Date : 2024-03-07 Juan A. Aledo, Carlos Andreu-Vilarroig, Juan-Carlos Cortés, Juan C. Orengo, Rafael-Jacinto Villanueva
The increase in antibiotic resistance in recent years, mainly due to the non-rational use of antibiotics, is one of the most important global public health threats. In this paper, we propose a math...
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Convergence and stability of the balanced Euler method for stochastic pantograph differential equations with Markovian switching Int. J Comput. Math. (IF 1.8) Pub Date : 2024-03-06 Meiyu Cheng, Wei Zhang, Rui Li
In this paper, we concern the strong convergence and stability of the balanced Euler method for stochastic pantograph differential equations with Markovian switching (SPDEs-MS). We present the bala...
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Model order reduction based on Laguerre orthogonal polynomials for parabolic equation constrained optimal control problems Int. J Comput. Math. (IF 1.8) Pub Date : 2024-03-06 Zhen Miao, Li Wang, Gao-yuan Cheng, Yao-lin Jiang
In this paper, two model order reduction methods based on Laguerre orthogonal polynomials for parabolic equation constrained optimal control problems are studied. The spatial discrete scheme of the...
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Numerical analysis of singularly perturbed parabolic reaction diffusion differential difference equations Int. J Comput. Math. (IF 1.8) Pub Date : 2024-03-04 Komal Bansal, Kapil K. Sharma, Aditya Kaushik, Gajendra Babu
The authors present numerical analysis of singularly perturbed parabolic problems. The previous papers in this direction focussed on the convection-diffusion problems with regular type of boundary ...
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A fast compact finite difference scheme for the fourth-order diffusion-wave equation Int. J Comput. Math. (IF 1.8) Pub Date : 2024-03-01 Wan Wang, Haixiang Zhang, Ziyi Zhou, Xuehua Yang
In this paper, the H 2N 2 method and compact finite difference scheme are proposed for the fourth-order time-fractional diffusion-wave equations. In order to improve the efficiency of calculation, ...
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A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations Int. J Comput. Math. (IF 1.8) Pub Date : 2024-03-01 Sachin Sharma, Naina Sharma
In this article, we introduce a novel cubic spline method for the numerical solution of a class of fourth-order time-dependent parabolic partial differential equations. The method employs uniform m...
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Projection-type method with line-search process for solving variational inequalities Int. J Comput. Math. (IF 1.8) Pub Date : 2024-02-26 Min Li, Chuan Qin, Prasit Cholamjiak, Papatsara Inkrong
We propose an accelerated projection-type method for solving variational inequalities in Hilbert spaces. The method is suitable for pseudomonotone non-Lipschitz continuous operators and obtains str...
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Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model Int. J Comput. Math. (IF 1.8) Pub Date : 2024-02-11 Xuan Zhao, Zhuhan Jiang, Hong Sun
In this work, we take a consideration of the time fractional molecular beam epitaxial(MBE) models. The variable time-step BDF2 methods are proposed for time fractional MBE models in order to obtain...
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Adaptation and assessement of projected Nesterov accelerated gradient flow to compute stationary states of nonlinear Schrödinger equations Int. J Comput. Math. (IF 1.8) Pub Date : 2024-02-08 Xavier Antoine, Chorouq Bentayaa, Jérémie Gaidamour
The aim of the paper is to derive minimization algorithms based on the Nesterov accelerated gradient flow [Y. Nesterov, Gradient methods for minimizing composite objective function. Core discussion...
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An optimization method for solving a general class of the inverse system of nonlinear fractional order PDEs Int. J Comput. Math. (IF 1.8) Pub Date : 2024-02-13 Z. Avazzadeh, H. Hassani, M. J. Ebadi, A. Bayati Eshkaftaki, A. S. Hendy
In this paper, we introduce a general class of the inverse system of nonlinear fractional order partial differential equations (GCISNF-PDEs) with initial-boundary and two overdetermination conditio...
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A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations Int. J Comput. Math. (IF 1.8) Pub Date : 2024-02-08 M. Yousuf, Shahzad Sarwar
A computationally fast third order numerical algorithm is developed for inhomogeneous parabolic partial differential equations. The algorithm is based on a third order method developed by using a r...
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Two-step Runge–Kutta methods for Volterra integro-differential equations Int. J Comput. Math. (IF 1.8) Pub Date : 2024-02-08 Jiao Wen, Chengming Huang, Hongbo Guan
In this paper, we investigate two-step Runge–Kutta methods to solve Volterra integro-differential equations. Two-step Runge–Kutta methods increase the order of convergence in comparing the classica...
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A parallel high-order accuracy algorithm for the Helmholtz equations Int. J Comput. Math. (IF 1.8) Pub Date : 2024-02-08 Tiantian Bao, Xiufang Feng
The numerical solution of the Helmholtz equations is challenging to compute when the wave numbers contained in the governing equation are large. In this paper, we present a parallel algorithm for t...
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A space-time second-order method based on modified two-grid algorithm with second-order backward difference formula for the extended Fisher–Kolmogorov equation Int. J Comput. Math. (IF 1.8) Pub Date : 2024-02-08 Kai Li, Wei Liu, Yingxue Song, Gexian Fan
In this paper, a modified two-grid algorithm based on block-centred finite difference method is developed for the fourth-order nonlinear extended Fisher–Kolmogorov equation. To further improve the ...
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The solution for singularly perturbed differential-difference equation with boundary layers at both ends by a numerical integration method Int. J Comput. Math. (IF 1.8) Pub Date : 2024-02-06 Raghvendra Pratap Singh, Y. N. Reddy
This paper presents a numerical integration method for the solution of ‘Singularly Perturbed Differential-Difference Equations' having dual layers. It is well known that when we use already existin...
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Analysis of a stochastic model for a prey–predator system with an indirect effect Int. J Comput. Math. (IF 1.8) Pub Date : 2024-01-29 Leila Torkzadeh, Milad Fahimi, Hassan Ranjbar, Kazem Nouri
In the current work, we develop and analyse a prey–predator model as a semi-Kolmogorov population model in which the predator has an indirect effect on the prey. The functional response of the mode...
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Legendre collocation method for new generalized fractional advection-diffusion equation Int. J Comput. Math. (IF 1.8) Pub Date : 2024-01-18 Sandeep Kumar, Kamlesh Kumar, Rajesh K. Pandey, Yufeng Xu
In this paper, the numerical method for solving a class of generalized fractional advection-diffusion equation (GFADE) is considered. The fractional derivative involving scale and weight factors is...
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A dynamical mathematical model for crime evolution based on a compartmental system with interactions Int. J Comput. Math. (IF 1.8) Pub Date : 2024-01-11 Julia Calatayud, Marc Jornet, Jorge Mateu
We use data on imprisonment in Spain to fit a system of three ordinary differential equations that describes the temporal evolution of three different groups in the country: offenders that are not ...
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Euler–Maruyama methods for Caputo tempered fractional stochastic differential equations Int. J Comput. Math. (IF 1.8) Pub Date : 2024-01-10 Jianfei Huang, Linxin Shao, Jiahui Liu
In this paper, we introduce the initial value problem of Caputo tempered fractional stochastic differential equations and then study the well-posedness of its solution. Further, a Euler–Maruyama (E...
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Two-parameter modified matrix splitting iteration method for Helmholtz equation Int. J Comput. Math. (IF 1.8) Pub Date : 2024-01-06 Tian-Yi Li, Fang Chen, Zhi-Wei Fang, Hai-Wei Sun, Zhi Wang
For effectively solving the nonsymmetric and indefinite linear system originating from the discretized Helmholtz equation with complex wavenumber, we propose a two-parameter modified matrix splitti...
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Two new classes of exponential Runge–Kutta integrators for efficiently solving stiff systems or highly oscillatory problems Int. J Comput. Math. (IF 1.8) Pub Date : 2023-12-11 Bin Wang, Xianfa Hu, Xinyuan Wu
We note a fact that stiff systems or differential equations that have highly oscillatory solutions cannot be solved efficiently using conventional methods. In this paper, we study two new classes o...
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Linear and nonlinear Dirichlet–Neumann methods in multiple subdomains for the Cahn–Hilliard equation Int. J Comput. Math. (IF 1.8) Pub Date : 2023-11-17 Gobinda Garai, Bankim C. Mandal
In this paper, we propose and present a non-overlapping substructuring-type iterative algorithm for the Cahn–Hilliard (CH) equation, which is a prototype for phase-field models. It is of great impo...
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A new block preconditioner for weighted Toeplitz regularized least-squares problems Int. J Comput. Math. (IF 1.8) Pub Date : 2023-11-17 Fariba Bakrani Balani, Masoud Hajarian
We introduce a new block preconditioner for the solution of weighted Toeplitz regularized least-squares problems written in augmented system form. The proposed preconditioner is obtained based on t...
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Numerical oscillation and non-oscillation analysis of the mixed type impulsive differential equation with piecewise constant arguments Int. J Comput. Math. (IF 1.8) Pub Date : 2023-11-17 Zhaolin Yan, Jianfang Gao
The purpose of this paper is to study oscillation and non-oscillation of Runge–Kutta methods for linear mixed type impulsive differential equations with piecewise constant arguments. The conditions...
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Convergence and stability of modified partially truncated Euler-Maruyama method for stochastic differential equations with piecewise continuous arguments Int. J Comput. Math. (IF 1.8) Pub Date : 2023-11-17 Hongling Shi, Minghui Song, Mingzhu Liu
This paper constructs a modified partially truncated Euler-Maruyama (EM) method for stochastic differential equations with piecewise continuous arguments (SDEPCAs), where the drift and diffusion co...
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A single timescale stochastic quasi-Newton method for stochastic optimization Int. J Comput. Math. (IF 1.8) Pub Date : 2023-11-17 Peng Wang, Detong Zhu
In this paper, we propose a single timescale stochastic quasi-Newton method for solving the stochastic optimization problems. The objective function of the problem is a composition of two smooth fu...
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The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts Int. J Comput. Math. (IF 1.8) Pub Date : 2023-11-17 Garima, Kapil K. Sharma
This article focuses on the investigation of two-dimensional elliptic singularly perturbed problems that incorporate positive and negative shifts, the solution of this class of problems may demonst...
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Truncated Euler–Maruyama method for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient Int. J Comput. Math. (IF 1.8) Pub Date : 2023-11-17 Jie He, Shuaibin Gao, Weijun Zhan, Qian Guo
In this paper, we propose a truncated Euler–Maruyama scheme for stochastic differential equations driven by fractional Brownian motion with super-linear drift coefficient. Meanwhile, the convergenc...
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Sixth-order finite difference schemes for nonlinear wave equations with variable coefficients in three dimensions Int. J Comput. Math. (IF 1.8) Pub Date : 2023-11-01 Shuaikang Wang, Yongbin Ge, Tingfu Ma
First, a nonlinear difference scheme is proposed to solve the three-dimensional (3D) nonlinear wave equation by combining the correction technique of truncation error remainder in time and a sixth-...
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A block-by-block approach for nonlinear fractional integro-differential equations Int. J Comput. Math. (IF 1.8) Pub Date : 2023-10-11 F. Afiatdoust, M. H. Heydari, M. M. Hosseini
In this paper, a block-by-block scheme is proposed for a class of nonlinear fractional integro-differential equations. This method is based on the Gauss–Lobatto numerical integration method, which ...
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Effective numerical computation of p(x)–Laplace equations in 2D Int. J Comput. Math. (IF 1.8) Pub Date : 2023-10-11 Adriana Aragón, Julián Fernández Bonder, Diana Rubio
In this article we implement a method for the computation of a nonlinear elliptic problem with nonstandard growth driven by the p(x)−Laplacian operator. Our implementation is based in the decompos...
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A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes Int. J Comput. Math. (IF 1.8) Pub Date : 2023-10-11 Qiling Gu, Yanping Chen, Jianwei Zhou, Yunqing Huang
In this paper, we develop a two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes. The L1 graded mesh scheme is considered in the time ...
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General solution of two-dimensional singular fractional linear continuous-time system using the conformable derivative and Sumudu transform Int. J Comput. Math. (IF 1.8) Pub Date : 2023-10-11 Kamel Benyettou, Djillali Bouagada, Mohammed Amine Ghezzar
The effectiveness of this paper lies in presenting a new solution for the singular fractional two-dimensional linear continuous-time systems using the conformable derivative and Sumudu transform. T...
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Efficient pricing and calibration of high-dimensional basket options Int. J Comput. Math. (IF 1.8) Pub Date : 2023-10-03 Lech A. Grzelak, Juliusz Jablecki, Dariusz Gatarek
This paper studies equity basket options – i.e. multi-dimensional derivatives whose payoffs depend on the value of a weighted sum of the underlying stocks – and develops a new and innovative approa...
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Numerical solution of nonlinear third-kind Volterra integral equations using an iterative collocation method Int. J Comput. Math. (IF 1.8) Pub Date : 2023-09-16 Khedidja Kherchouche, Azzeddine Bellour, Pedro Lima
In this paper, we discuss the application of an iterative collocation method based on the use of Lagrange polynomials for the numerical solution of a class of nonlinear third-kind Volterra integral...
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On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation Int. J Comput. Math. (IF 1.8) Pub Date : 2023-09-16 Zhousheng Ruan, Zhenxing Chen, Min Luo, Wen Zhang
Facing application in real world, a simultaneous identification problem of determining the initial diffusion time (or the length of diffusion time) and source term in a time-fractional diffusion eq...
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Conservative second-order finite difference method for Camassa–Holm equation with periodic boundary condition Int. J Comput. Math. (IF 1.8) Pub Date : 2023-09-08 Yufeng Xu, Pintao Zhao, Zhijian Ye, Zhoushun Zheng
In this paper, we propose two momentum-preserving finite difference schemes for solving one-dimensional Camassa–Holm equation with periodic boundary conditions. A two-level nonlinear difference scheme and a three-level linearized difference scheme are constructed by using the method of order reduction. For nonlinear scheme, we combine mid-point rule and a specific difference operator, which ensures
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A fast compact difference scheme with unequal time-steps for the tempered time-fractional Black-Scholes model Int. J Comput. Math. (IF 1.8) Pub Date : 2023-09-01 Jinfeng Zhou, Xian-Ming Gu, Yong-Liang Zhao, Hu Li
The Black-Scholes (B-S) equation has been recently extended as a kind of tempered time-fractional B-S equations, which becomes an interesting mathematical model in option pricing. In this study, we provide a fast numerical method to approximate the solution of the tempered time-fractional B-S model. To achieve high-order accuracy in space and overcome the weak initial singularity of exact solution
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The virtual element method for solving two-dimensional fractional cable equation on general polygonal meshes Int. J Comput. Math. (IF 1.8) Pub Date : 2023-08-30 Jixiao Guo, Yanping Chen, Jianwei zhou, Yunqing Huang
In this paper, the conforming virtual element method (VEM) is considered to solve the two-dimensional fractional cable equation involving two Riemann–Liouville fractional derivatives. We adopt the Backward Euler Method and the classical L1L1 scheme for the numerical discrete scheme of the time derivative. Meanwhile, the conforming VEM, which is generated for arbitrary order of accuracy and the arbitrary
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A novel radial basis procedure for the SIRC epidemic delay differential model Int. J Comput. Math. (IF 1.8) Pub Date : 2023-08-29 Zulqurnain Sabir, Dumitru Baleanu, Fouad Othman Mallawi, Malik Zaka Ullah
The purpose of this work is to construct a reliable stochastic framework for solving the SIRC delay differential epidemic system, i.e. SIRC-DDES that is based on the coronavirus dynamics. The design of radial basis (RB) transfer function with the optimization of Bayesian regularization neural network (RB-BRNN) is presented to solve the SIRC-DDES. The SIRC-DDES is classified into susceptible S(x) ,
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A novel second-order nonstandard finite difference method preserving dynamical properties of a general single-species model Int. J Comput. Math. (IF 1.8) Pub Date : 2023-08-18 Manh Tuan Hoang
In this paper, we extend the Mickens' methodology to construct a second-order nonstandard finite difference (NSFD) method, which preserves dynamical properties including positivity, local asymptotic stability and especially, global asymptotic stability of a general single-species model. This NSFD method is based on a novel weighted non-local approximation of the right-hand side function in combination
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Mathematical modelling of frailty, dependency and mortality in a 70-year-old general population. Int. J Comput. Math. (IF 1.8) Pub Date : 2023-08-16 S. Camacho Torregrosa, C. Santamaría Navarro, X. Albert Ros
Due to the aging of the world population, a better functional capacity of the elderly is needed. The importance of detecting people at risk of frailty, dependence and death to fulfill an individualized approach. There are models that uses frailty indices, but none that use the Frail-VIG Index, based on the comprehensive geriatric assessment. Three predictive models of frailty, dependency and mortality
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Using 2D and 1D block-pulse functions simultaneously for solving the Barbashin integro-differential equations Int. J Comput. Math. (IF 1.8) Pub Date : 2023-08-06 S. Akhavan, A. Roohollahi
The goal of this work is to look at how to solve Barbashin equations using a mix of Volterra–Fredholm integro-differential equations and Volterra equations. For the first time, the 1D and 2D block-pulse functions are employed in a hybrid technique to solve this two-dimensional integral problem concurrently. We construct a new matrix called the converter operating matrix for this purpose. The Barbashin
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Computationally efficient techniques for spatial regression with differential regularization Int. J Comput. Math. (IF 1.8) Pub Date : 2023-08-03 Eleonora Arnone, Carlo De Falco, Luca Formaggia, Giorgio Meretti, Laura M. Sangalli
We investigate some computational aspects of an innovative class of PDE-regularized statistical models: Spatial Regression with Partial Differential Equation regularization (SR-PDE). These physics-informed regression methods can account for the physics of the underlying phenomena and handle data observed over spatial domains with nontrivial shapes, such as domains with concavities and holes or curved
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New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems Int. J Comput. Math. (IF 1.8) Pub Date : 2023-08-01 Auwal Bala Abubakar, Poom Kumam, Jinkui Liu, Hassan Mohammad, Christiane Tammer
This work presents a new three-term projection algorithm for solving nonlinear monotone equations. The paper is aimed at constructing an efficient and competitive algorithm for finding approximate solutions of nonlinear monotone equations. This is based on a new choice of the conjugate gradient direction which satisfies the sufficient descent condition. The convergence of the algorithm is shown under
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Retraction: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations Int. J Comput. Math. (IF 1.8) Pub Date : 2023-07-30
Published in International Journal of Computer Mathematics (Vol. 100, No. 9, 2023)
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Viscosity approximation method for split best proximity point and monotone variational inclusion problem Int. J Comput. Math. (IF 1.8) Pub Date : 2023-07-30 Shamshad Husain, Mohd Asad
ABSTRACT To address the split best proximity point and monotone variational inclusion problems in real Hilbert spaces, we present and investigate projection and viscosity approximation methods. Under a few reasonable assumptions, we prove some weak and strong convergence theorems for the aforementioned methods. The efficiency of the proposed method is demonstrated by some numerical examples. Some well-known
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Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method Int. J Comput. Math. (IF 1.8) Pub Date : 2023-07-30 Ashish Kumar, Pranay Goswami
This paper deals with the numerical solution of the general Emden–Fowler equation using the Haar wavelet collocation method. This method transforms the differential equation into a system of nonlinear equations. These equations are further solved by Newton's method to obtain the Haar coefficients, and finally the solution to the problem is acquired using these coefficients. We have taken many examples
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A study on mild solutions for multi-term time fractional measure differential equations Int. J Comput. Math. (IF 1.8) Pub Date : 2023-07-25 Haide Gou, Yongwei Jia
In this paper, we investigate the existence and uniqueness of the S-asymptotically ω-periodic mild solutions to a class of multi-term time-fractional measure differential equations with initial conditions in Banach spaces. Firstly, we look for a suitable concept of S-asymptotically ω-periodic mild solution to our concerned problem, by means of the Laplace transform and (β,γk)(β,γk) -resolvent family
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A new high-accuracy difference method for nonhomogeneous time-fractional Schrödinger equation Int. J Comput. Math. (IF 1.8) Pub Date : 2023-06-30 Zihao Tian, Yanhua Cao, Xiaozhong Yang
The fractional Schrödinger equation is an important fractional nonlinear evolution equation, and the study of its numerical solution has profound scientific meaning and wide application prospects. This paper proposes a new high-accuracy difference method for nonhomogeneous time-fractional Schrödinger equation (TFSE). The Caputo time-fractional derivative is discretized by high-order L2−1σL2−1σ formula
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On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme Int. J Comput. Math. (IF 1.8) Pub Date : 2023-06-19 Fatemeh Asadi-Mehregan, Pouria Assari, Mehdi Dehghan
In this research paper, we introduce a numerical approach to solve a particular type of nonlinear integro-differential equations derived from Volterra's population model. This model characterizes the growth of a biological species in a closed system and includes an integral term to consider the influence of toxin accumulation on the species, along with the conventional terms found in the logistic equation
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Convergence analysis of a novel fractional product integration method for solving the second kind weakly singular Volterra integral equations with non-smooth solutions based on Jacobi polynomials Int. J Comput. Math. (IF 1.8) Pub Date : 2023-06-12 Sayed Arsalan Sajjadi, Hashem Saberi Najafi, Hossein Aminikhah
In this paper, we introduce a new fractional basis function based on Lagrange polynomials. We define the new interpolation formula for approximation of the solutions of the second kind weakly singular Volterra integral equations. The product integration method is used for the numerical solution of these equations based on Jacobi polynomials. It is known that the weakly singular Volterra integral equations
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A new method of solving the best approximate solution for a nonlinear fractional equation Int. J Comput. Math. (IF 1.8) Pub Date : 2023-06-12 Hong Du, Xinyue Yang, Zhong Chen
A new method of solving the best approximate solution for nonlinear fractional equations with smooth and nonsmooth solutions in reproducing kernel space is proposed in the paper. The nonlinear equation outlines some important equations, such as fractional diffusion-wave equation, nonlinear Klein–Gordon equation and time-fractional sine-Gordon equation. By constructing orthonormal bases in reproducing
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A mollification regularization method with Dirichlet kernel to solve potential-free field inverse Schrödinger Cauchy problem Int. J Comput. Math. (IF 1.8) Pub Date : 2023-06-10 Lan Yang, Lin Zhu, Shangqin He
We consider solving the Cauchy problem of the Schrödinger equation with potential-free field by a mollification regularization method in this work. By convolving the measured data with the Dirichlet kernel, the ill-posed case is turned into a well-posed one. Convergent estimates are gained via the priori and the posteriori parameter selection rules. Finally, three simulation experiment results are
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Higher-order breather, lump and hybrid solutions of (2 + 1)-dimensional coupled nonlinear evolution equations with time-dependent coefficients Int. J Comput. Math. (IF 1.8) Pub Date : 2023-06-05 Chen Wang, Hou-ping Dai, Meng-jun Li, Ying-xin Feng
This paper investigates a class of (2 + 1)-dimensional coupled nonlinear evolution equation with time-dependent coefficients in an inhomogeneous medium via the Hirota bilinear method. Combining the long wave limit method and complex conjugate transform, the higher-order breather and lump solutions are initially constructed. Furthermore, hybrid solutions among N-soliton, lump and breather solutions
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Approximating solutions of the generalized modification of the system of equilibrium problems and fixed point problem of a nonexpansive mapping Int. J Comput. Math. (IF 1.8) Pub Date : 2023-06-04 Kanyanee Saechou, Atid Kangtunyakarn
The purpose of this research is to study the generalized modification of the system of equilibrium problems (GMSEP) and a lemma is established to show the property of this problem. Then, we prove a strong convergence theorem for finding a common element of the set of the solutions of the fixed points problem and the set of the solutions of the GMSEP under some suitable conditions, in which αn+βn+δn≤1