Exact Solutions to a Finite-difference Model of a Nonlinear Reaction-advection Equation: Implications for Numerical Analysis

DOI10.1080/1023619031000146959zbMath1037.65088OpenAlexW2009062820MaRDI QIDQ4443215

Ronald E. Mickens

Publication date: 2003

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

Full work available at URL: https://doi.org/10.1080/1023619031000146959

zbMATH Keywords

partial difference equationfinite-difference modelelimination of chaotic behaviornonlinear reaction-advection equation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

Mathematical study of SIR epidemic model under convex incidence rate, A modified equation approach to selecting a nonstandard finite difference scheme applied to the regularized long wave equation, On the use of nonstandard finite difference methods†, Host vector dynamics of pine wilt disease model with convex incidence rate

Cites Work

• Aggregative effects for a reaction-advection equation
• Focusing: A mechanism for instability of nonlinear finite difference equations
• Iteration procedure for determining approximate solutions to non-linear oscillator equations
• A numerical study of chaos in a reaction-diffusion equation
• Differential and Difference Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item