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Galerkin-finite difference method for fractional parabolic partial differential equations [PDF]
MethodsXThe fractional form of the classical diffusion equation embodies the super-diffusive and sub-diffusive characteristics of any flow, depending on the fractional order. This study aims to approximate the solution of parabolic partial differential equations
Md. Shorif Hossan +2 more
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Nonstandard finite difference method for solving complex-order fractional Burgers’ equations [PDF]
Journal of Advanced Research, 2020 The aim of this work is to present numerical treatments to a complex order fractional nonlinear one-dimensional problem of Burgers’ equations. A new parameter σt is presented in order to be consistent with the physical model problem.
N.H. Sweilam +2 more
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MethodsX, 2023 A compartmental mathematical model of spreading COVID-19 disease in Wuhan, China is applied to investigate the pandemic behaviour in Iran. This model is a system of seven ordinary differential equations including individual behavioural reactions ...
Khadijeh Sadri +2 more
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MethodsX, 2023 We consider two-parameter singularly perturbed problems of reaction-convection-diffusion type in one dimension. The convection coefficient and source term are discontinuous at a point in the domain.
Nirmali Roy, Anuradha Jha
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Multiplicative finite difference methods [PDF]
Quarterly of Applied Mathematics, 2009 Based on multiplicative calculus, the finite difference schemes for the numerical solution of multiplicative differential equations and Volterra differential equations are presented. Sample problems were solved using these new approaches.
Rıza, Mustafa +2 more
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Finite-Difference-Impedance Method for Time-Delay Systems
IEEE Access, 2022 The stability issues assessment by the impedance-based method demands the computation of accurate small-signal models. However, obtaining impedance models can be a time-consuming task if analytical models or the perturbation-based method are used ...
Juan Segundo-Ramirez +3 more
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Suitable Methods for Solving COVID-19 Model in Iraq
Wasit Journal for Pure Sciences, 2023 Because the Coronavirus epidemic spread in Iraq, the COVID-19 epidemic of people quarantined due to infection is our application in this work. The numerical simulation methods used in this research are more suitable than other analytical and numerical ...
Maha A.Mohammed, Mahdi A. Sabea
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Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Multiparametric difference schemes of the finite element method of a high order of accuracy for the Sobolevtype equation of the fourth-order in time are studied. In particular, the first boundary value problem for the equation of ion-acoustic waves in a
M.M. Aripov, D. Utebaev, Zh.A. Nurullaev
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Mathematical Modelling and Analysis, 2012 This paper deals with the numerical solution of a two-dimensional thermoporoelasticity problem using a finite-difference scheme. Two issues are discussed: stability and convergence in discrete energy norms of the finite-difference scheme are proved, and ...
Natalia Boal +3 more
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Finite Difference Method for Intuitionistic Fuzzy Partial Differential Equations
Computer Sciences & Mathematics Forum, 2023 In this paper, we investigate an intuitionistic fuzzy Poisson equation with uncertain parameters, considering the parameters as intuitionistic fuzzy numbers. We apply a finite difference method to solve the ‘Intuitionistic fuzzy Poisson equation’.
Sushanta Man +3 more
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