Results 11 to 20 of about 682,039 (286)
Exact and nonstandard finite difference schemes for the generalized KdV–Burgers equation
Advances in Difference Equations, 2020 We consider the generalized KdV–Burgers KdVB ( p , m , q ) $\operatorname{KdVB}(p,m,q)$ equation. We have designed exact and consistent nonstandard finite difference schemes (NSFD) for the numerical solution of the KdVB ( 2 , 1 , 2 ) $\operatorname{KdVB}(
C. Koroglu
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AIMS Mathematics, 2021 In this paper, we present a linearized finite difference scheme and a compact finite difference scheme for the time fractional nonlinear diffusion-wave equations with space fourth order derivative based on their equivalent partial integro-differential ...
Emadidin Gahalla Mohmed Elmahdi +1 more
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Fractal and Fractional, 2022 In this paper, a numerical analysis of the oscillation equation with a derivative of a fractional variable Riemann–Liouville order in the dissipative term, which is responsible for viscous friction, is carried out.
Valentine Aleksandrovich Kim +1 more
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The convergence of a numerical method for total variation flow
Journal of Algorithms & Computational Technology, 2021 We present a convergence analysis for a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fetami model.
Qianying Hong +2 more
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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
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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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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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A dynamically-consistent nonstandard finite difference scheme for the SICA model
Mathematical Biosciences and Engineering, 2021 In this work, we derive a nonstandard finite difference scheme for the SICA (Susceptible–Infected–Chronic–AIDS) model and analyze the dynamical properties of the discretized system.
Sandra Vaz, Delfim F. M. Torres
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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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