On non-standard finite difference models of reaction-diffusion equations

DOI10.1016/j.cam.2004.06.002zbMath1070.65071OpenAlexW4246806945MaRDI QIDQ1765420

P. Kama, Roumen Anguelov, Jean M.-S. Lubuma

Publication date: 23 February 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.06.002

zbMATH Keywords

numerical examplesReaction-diffusion equationsSpectral methodsEnergy-preserving schemesNon-standard finite difference methodQualitative stabilityTheta-methods

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

• Qualitatively stable finite difference schemes for advection--reaction equations.
• Nonstandard finite difference method by nonlocal approximation
• Contributions to the mathematics of the nonstandard finite difference method and applications
• Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator
• An Improved Theta-method for Systems of Ordinary Differential Equations
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