Nonstandard finite‐difference scheme to approximate the generalized Burgers‐Fisher equation

DOI10.1002/mma.5283zbMath1404.39011OpenAlexW2893353727MaRDI QIDQ4611161

Mehran Namjoo, Mehdi Zeinadini, Sadegh Zibaei

Publication date: 24 January 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5283

zbMATH Keywords

boundednesspositivitygeneralized Burgers-Fisher equationnonstandard finite-difference schemeexact finite-difference schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Difference operators (39A70) Partial difference equations (39A14) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Unnamed Item ⋮ On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations ⋮ An efficient hybrid method based on cubic B-spline and fourth-order compact finite difference for solving nonlinear advection-diffusion-reaction equations ⋮ A new class of difference methods with intrinsic parallelism for Burgers-Fisher equation ⋮ On the stability of Micken's type NSFD schemes for generalized Burgers Fisher equation ⋮ An efficient Mickens' type NSFD scheme for the generalized Burgers Huxley equation ⋮ A novel time efficient structure-preserving splitting method for the solution of two-dimensional reaction-diffusion systems

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