Solving singularly perturbed advection–reaction equations via non‐standard finite difference methods

DOI10.1002/mma.858zbMath1132.35008OpenAlexW1990852726MaRDI QIDQ5433196

Kailash C. Patidar, Jean M.-S. Lubuma

Publication date: 8 January 2008

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

Full work available at URL: https://doi.org/10.1002/mma.858

zbMATH Keywords

fitted operator methodsnon-standard finite differences

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (10)

Nonstandard finite difference schemes for a class of generalized convection–diffusion–reaction equations ⋮ A non‐standard finite difference scheme for an advection‐diffusion‐reaction equation ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ An efficient hybrid numerical method based on an additive scheme for solving coupled systems of singularly perturbed linear parabolic problems ⋮ A robust fitted operator finite difference method for a two-parameter singular perturbation problem¹ ⋮ Nonstandard finite difference schemes for Michaelis–Menten type reaction‐diffusion equations ⋮ Positive and bounded nonstandard finite difference scheme for the Hodgkin-Huxley equations ⋮ A robust nonstandard finite difference scheme for pricing real estate index options ⋮ Nonstandard finite difference methods: recent trends and further developments ⋮ An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection

Cites Work

• CONTRIBUTIONS TO THE THEORY OF NON-STANDARD FINITE DIFFERENCE METHODS AND APPLICATIONS TO SINGULAR PERTURBATION PROBLEMS
• On the use of nonstandard finite difference methods†
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