On a uniformly accurate finite difference approximation of a singularly perturbed reaction-diffusion problem using grid equidistribution

DOI10.1016/S0377-0427(00)00260-0zbMath0984.65076WikidataQ127633584 ScholiaQ127633584MaRDI QIDQ5939880

G. Beckett, John A. Mackenzie

Publication date: 30 April 2002

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

zbMATH Keywords

numerical resultssingular perturbationuniform convergencefinite difference schemeadaptivityequidistributionreaction-diffusion equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) 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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