An almost third order finite difference scheme for singularly perturbed reaction-diffusion systems

DOI10.1016/j.cam.2010.03.011zbMath1195.65101OpenAlexW2057143111MaRDI QIDQ977430

Francisco Javier Lisbona, Carmelo Clavero, José Luis Gracia

Publication date: 22 June 2010

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.2010.03.011

zbMATH Keywords

numerical resultssingular perturbationuniform convergencereaction-diffusion systemserror boundsShishkin meshhigh order difference approximation via identity expansionhybrid HODIE methods

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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