Determination of denominator functions for a NSFD scheme for the Fisher PDE with linear advection

DOI10.1016/j.matcom.2006.10.006zbMath1110.65083OpenAlexW2036810692MaRDI QIDQ871082

Ronald E. Mickens

Publication date: 15 March 2007

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.10.006

zbMATH Keywords

algorithmlinear advectionnonstandard finite difference schemesevolution PDEnonlinear wave phenomena

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (8)

Nonstandard finite difference schemes for a class of generalized convection–diffusion–reaction equations ⋮ Unnamed Item ⋮ A non‐standard finite difference scheme for an advection‐diffusion‐reaction equation ⋮ On the convergence of NSFD schemes for a new class of advection–diffusion–reaction equations ⋮ Universal approaches to approximate biological systems with nonstandard finite difference methods ⋮ 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 ⋮ Nonstandard finite difference methods: recent trends and further developments

Cites Work

• Finite-differenc models of ordinary differential equations: Influence of denominator functions
• Computational Gasdynamics
• Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator
• Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
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