A Mickens-type monotone discretization for bounded travelling-wave solutions of a Burgers–Fisher partial differential equationa*

DOI10.1080/10236198.2013.788647zbMath1287.65063OpenAlexW2081586729WikidataQ115296085 ScholiaQ115296085MaRDI QIDQ2868944

Jorge Eduardo Macías-Díaz

Publication date: 27 December 2013

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

Full work available at URL: https://doi.org/10.1080/10236198.2013.788647

zbMATH Keywords

monotonicityboundednesspositivitytravelling-wave solutionsgeneralized Burgers-Fisher equationnonlinear finite-difference scheme

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (10)

Numerical efficiency of some exponential methods for an advection–diffusion equation ⋮ An accurate and novel numerical simulation with convergence analysis for nonlinear partial differential equations of Burgers-Fisher type arising in applied sciences ⋮ On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations ⋮ A modified Bhattacharya exponential method to approximate positive and bounded solutions of the Burgers-Fisher equation ⋮ A bounded and efficient scheme for multidimensional problems with anomalous convection and diffusion ⋮ Existence and uniqueness of monotone and bounded solutions for a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation ⋮ On the stability and convergence of an implicit logarithmic scheme for diffusion equations with nonlinear reaction ⋮ Design and numerical analysis of a logarithmic scheme for nonlinear fractional diffusion-reaction equations ⋮ On the convergence of a nonlinear finite-difference discretization of the generalized Burgers–Fisher equation ⋮ A class of nonstandard finite difference methods for the Burgers–Huxley equation

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