On the convergence of a nonlinear finite-difference discretization of the generalized Burgers–Fisher equation

DOI10.1080/10236198.2015.1016008zbMath1314.65118OpenAlexW1997930925MaRDI QIDQ5247378

Anna Szafrańska, Jorge Eduardo Macías-Díaz

Publication date: 24 April 2015

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2015.1016008

zbMATH Keywords

convergencefinite difference schemenumerical experimentnonlinear methodgeneralized Burgers-Fischer model

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations ⋮ Difference methods for parabolic equations with Robin condition ⋮ Interdiffusion in many dimensions: mathematical models, numerical simulations and experiment ⋮ A convergent and dynamically consistent finite-difference method to approximate the positive and bounded solutions of the classical Burgers-Fisher equation ⋮ A class of nonstandard finite difference methods for the Burgers–Huxley equation

Cites Work

• Unnamed Item
• A Mickens-type monotone discretization for bounded travelling-wave solutions of a Burgers–Fisher partial differential equation^a*
• On the convergence of a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation
• A note on a non-standard finite difference scheme for the Relugax−y−zmodel
• Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation
• Exact finite difference and non-standard finite difference schemes for
• Solitary wave solutions of the generalised Burgers-Huxley equation
• Existence and uniqueness of monotone and bounded solutions for a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation
• A note on exact finite difference schemes for the differential equations satisfied by the Jacobi cosine and sine functions
• A SIR-model with square-root dynamics: An NSFD scheme

This page was built for publication: On the convergence of a nonlinear finite-difference discretization of the generalized Burgers–Fisher equation