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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Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations [PDF]
BMC Research Notes, 2021 Objective The main purpose of this paper is to present an accelerated nonstandard finite difference method for solving the singularly perturbed Burger-Huxley equation in order to produce more accurate solutions.
Masho Jima Kabeto, Gemechis File Duressa
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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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Efficient Finite Difference Method for Computing Sensitivities of Biochemical Reactions [PDF]
Proc Math Phys Eng Sci, 2018 Sensitivity analysis of biochemical reactions aims at quantifying the dependence of the reaction dynamics on the reaction rates. The computation of the parameter sensitivities, however, poses many computational challenges when taking stochastic noise ...
Priami, Corrado +2 more
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Some standard and nonstandard finite difference schemes for a reaction–diffusion–chemotaxis model
Open Physics, 2023 Two standard and two nonstandard finite difference schemes are constructed to solve a basic reaction–diffusion–chemotaxis model, for which no exact solution is known.
de Waal Gysbert Nicolaas +2 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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Mean field games: convergence of a finite difference method [PDF]
, 2012 Mean field type models describing the limiting behavior, as the number of players tends to $+\infty$, of stochastic differential game problems, have been recently introduced by J-M. Lasry and P-L. Lions.
Achdou, Yves +2 more
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Conservative Finite Difference Method for Solving Generalized BBM-KdV Equation
Journal of Harbin University of Science and Technology, 2022 The BBM-KdV equation plays an important role because it can describe a large number of physical phenomena, such as shallow water waves and ion waves. It is an important model for long-wave unidirectional propagation in weakly nonlinear dispersive media ...
WANG Xi, ZHANG Shuang, HU Jin-song
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Uncertainty Analyses in the Finite-Difference Time-Domain Method [PDF]
, 2010 Providing estimates of the uncertainty in results obtained by Computational Electromagnetic (CEM) simulations is essential when determining the acceptability of the results.
Edwards, R.S. +2 more
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Complete centered finite difference method for Helmholtz equation [PDF]
Anais da Academia Brasileira de CiênciasA new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace, and determining the coefficients of the linear ...
GUSTAVO B. ALVAREZ +2 more
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