Non-standard finite-differences schemes for generalized reaction-diffusion equations

DOI10.1016/j.cam.2008.09.026zbMath1165.65044OpenAlexW2075871329MaRDI QIDQ1019805

José de Jesús Álvarez-Ramírez, Francisco J. Valdés-Parada

Publication date: 28 May 2009

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.2008.09.026

zbMATH Keywords

numerical resultsGreen's functionerror boundsreaction-diffusion equationsnon-standard finite difference method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (4)

Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation ⋮ A Green's function formulation of nonlocal finite-difference schemes for reaction-diffusion equations ⋮ Traveling wavefronts of a delayed temporally discrete reaction-diffusion equation ⋮ Nonstandard finite difference methods: recent trends and further developments

Cites Work

• Qualitatively stable finite difference schemes for advection--reaction equations.
• On non-standard finite difference models of reaction-diffusion equations
• Discretizations of nonlinear differential equations using explicit nonstandard methods
• 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

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