Nonstandard perturbation approximation and travelling wave solutions of nonlinear reaction diffusion equations

DOI10.1002/num.20244zbMath1133.65064OpenAlexW2091118672MaRDI QIDQ5438245

Aditya Kaushik

Publication date: 23 January 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20244

zbMATH Keywords

numerical examplesquasilinearizationtraveling wave solutionparameter robustnonlinear reaction diffusion equationperturbation approximationnon-standard finite difference equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (11)

Iterative analytic approximation to nonlinear convection dominated systems ⋮ A parameter uniform difference scheme for parabolic partial differential equation with a retarded argument ⋮ Analytic solution of nonlinear singularly perturbed initial value problems through iteration ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Convergence analysis of weighted difference approximations on piecewise uniform grids to a class of singularly perturbed functional differential equations ⋮ An efficient mixed asymptotic-numerical scheme for singularly perturbed convection diffusion problems ⋮ Universal approaches to approximate biological systems with nonstandard finite difference methods ⋮ A robust numerical approach for singularly perturbed time delayed parabolic partial differential equations ⋮ Analytic approximation to delayed convection dominated systems through transforms ⋮ Error estimates for a class of partial functional differential equation with small dissipation ⋮ Nonstandard finite difference methods: recent trends and further developments

Cites Work

• Gene-culture waves of advance
• Explicit solutions of Fisher's equation for a special wave speed
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonstandard perturbation approximation and travelling wave solutions of nonlinear reaction diffusion equations