Exact finite difference scheme and nonstandard finite difference scheme for Burgers and Burgers-Fisher equations

DOI10.1155/2014/597926zbMath1406.65067OpenAlexW1981090966WikidataQ59053706 ScholiaQ59053706MaRDI QIDQ1714684

Lei Zhang, Lisha Wang, Xiao-Hua Ding

Publication date: 1 February 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/597926

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Maximum norm convergence analysis of extrapolated Crank-Nicolson orthogonal spline collocation for Burgers' equation in one space variable ⋮ On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations ⋮ Exact and nonstandard finite difference schemes for the Burgers equationB(2,2) ⋮ A higher order implicit adaptive finite point method for the Burgers' equation ⋮ A multi-domain Galerkin method with numerical integration for the Burgers equation ⋮ Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation ⋮ Hybrid B-spline collocation method for solving the generalized Burgers-Fisher and Burgers-Huxley equations ⋮ Non-standard finite difference based numerical method for viscous Burgers' equation ⋮ An unconventional finite difference scheme for modified Korteweg-de Vries equation ⋮ Exact and nonstandard finite difference schemes for the generalized KdV-Burgers equation ⋮ Comparative Study of Some Numerical Methods for the Standard FitzHugh-Nagumo Equation

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