Nonstanard finite difference scheme for a scalar reaction-convection PDE

DOI10.1080/10236199708808109zbMath0907.65083OpenAlexW2012939288MaRDI QIDQ4209300

Ronald E. Mickens

Publication date: 8 November 1998

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

Full work available at URL: https://doi.org/10.1080/10236199708808109

zbMATH Keywords

travelling waveFisher equationnonstandard finite difference schemereaction-convection 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)

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Cites Work

• Unnamed Item
• Finite-differenc models of ordinary differential equations: Influence of denominator functions
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• Exact solutions to a finite-difference model of a nonlinear reaction-advection equation: Implications for numerical analysis
• Numerical Wave Propagation in an Advection Equation with a Nonlinear Source Term
• Comment on “a second‐order, chaos‐free, explicit method for the numerical solution of a cubic reaction problem in neurophysiology”
• A second‐order, chaos‐free, explicit method for the numerical solution of a cubic reaction problem in neurophysiology

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