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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Nonstandard Finite Difference Scheme for a Computer Virus Model
Journal of Innovative Science and Engineering, 2020 This study introduces us to a new model developed for computer viruses. The model is presented to remove the protective restriction on the total number of computers connected to the Internet.
Mehmet KOCABIYIK +2 more
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Implicit finite-difference schemes, based on the Rosenbrock method, for nonlinear Schrödinger equation with artificial boundary conditions. [PDF]
PLoS ONE, 2018 We investigate the effectiveness of using the Rosenbrock method for numerical solution of 1D nonlinear Schrödinger equation (or the set of equations) with artificial boundary conditions (ABCs).
Vyacheslav A Trofimov, Evgeny M Trykin
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Analysis of Two-Level Mesh Method for Partial Integro-Differential Equation
Journal of Function Spaces, 2022 In this paper, we present two-level mesh scheme to solve partial integro-differential equation. The proposed method is based on a finite difference method. For the first step, we use finite difference method in time and global radial basis function (RBF)
Quan Tang +3 more
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A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations [PDF]
, 2013 A macroscopic model to describe the dynamics of ion transport in ion channels is the Poisson-Nernst-Planck(PNP) equations. In this paper, we develop a finite-difference method for solving PNP equations, which is second-order accurate in both space and ...
Eisenberg, Bob +5 more
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A Positive Finite-Difference Advection Scheme [PDF]
Journal of Computational Physics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hundsdorfer, W. +3 more
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Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation [PDF]
Advances in Difference Equations, 2014 Abstract This work develops exact finite-difference schemes for the two-dimensional nonlinear coupled viscous Burgers equation using the analytic solution. We extend the explicit nonstandard finite-difference schemes on the basis of the exact finite-difference schemes to solve the coupled Burgers equation.
Zhang, Lei, Wang, Lisha, Ding, Xiaohua
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A finite difference scheme based on cubic trigonometric B-splines for a time fractional diffusion-wave equation [PDF]
, 2017 In this paper, we propose an efficient numerical scheme for the approximate solution of a time fractional diffusion-wave equation with reaction term based on cubic trigonometric basis functions. The time fractional derivative is approximated by the usual
M. Yaseen +3 more
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Approximation of the Huxley equation with nonstandard finite-difference scheme [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 In this paper, an explicit exact finite-difference scheme for the Huxley equation is presented based on the nonstandard finite-difference (NSFD) scheme. Afterwards, an NSFD scheme is proposed for the numerical solution of the Huxley equation.
M. Namjoo, S. Zibaei
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A HODIE finite difference scheme for pricing American options
Advances in Difference Equations, 2019 In this paper, we introduce a new numerical method for pricing American-style options, which has long been considered as a very challenging problem in financial engineering.
Zhongdi Cen, Wenting Chen
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