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 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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Non-hydrostatic pressure shallow flows: GPU implementation using finite volume and finite difference scheme [PDF]
Applied Mathematics and Computation, 2017 We consider the depth-integrated non-hydrostatic system derived by Yamazaki et al. An efficient formally second-order well-balanced hybrid finite volume finite difference numerical scheme is proposed.
C. Escalante, T. M. D. Luna, M. Díaz
semanticscholar +1 more source
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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Applied Mathematics Letters, 2019 In the current paper, an error estimate has been proposed to find a second-order finite difference scheme for solving the Riesz space distributed-order diffusion equation. The convergence order of the proposed method is O ( τ 2 + h 2 ) .
M. Abbaszadeh
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A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods [PDF]
, 2008 We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids.
Eymard R. +4 more
core +6 more sources
A Laplace transform finite difference scheme for the Fisher-KPP equation
Journal of Algorithms & Computational Technology, 2021 This paper proposes a numerical approach to the solution of the Fisher-KPP reaction-diffusion equation in which the space variable is developed using a purely finite difference scheme and the time development is obtained using a hybrid Laplace Transform ...
Colin L Defreitas, Steve J Kane
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