A modified exponential method that preserves structural properties of the solutions of the Burgers–Huxley equation

DOI10.1080/00207160.2017.1377339zbMath1390.65077OpenAlexW2752100875WikidataQ115552420 ScholiaQ115552420MaRDI QIDQ4641513

Jorge Eduardo Macías-Díaz

Publication date: 17 May 2018

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1377339

zbMATH Keywords

Burgers-Huxley equationmonotonicity preservationpositivity preservationboundedness preservationstructure-preserving methodexponential techniquemodified Bhattacharya method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Numerical methods for difference equations (65Q10)

Related Items (7)

Numerical efficiency of some exponential methods for an advection–diffusion equation ⋮ On the numerical and structural properties of a logarithmic scheme for diffusion-reaction equations ⋮ High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems ⋮ Conforming, nonconforming and DG methods for the stationary generalized Burgers-Huxley equation ⋮ Numerical approximation of generalized Burger's-Fisher and generalized Burger's-Huxley equation by compact finite difference method ⋮ A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems ⋮ Qualitative analysis of bounded traveling wave solutions to Nagumo nerve conduction equation and its approximate oscillatory solutions

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