A Deferred Correction Approach to the Solution of Singularly Perturbed BVPs by High Order Upwind Methods: Implementation Details

DOI10.1063/1.3241565zbMath1182.65119OpenAlexW1613404997MaRDI QIDQ5851547

Pierluigi Amodio, Giuseppina Settanni

Publication date: 22 January 2010

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3241565

zbMATH Keywords

numerical examplesingular perturbationupwind methodtwo-point boundary value problemfinite difference schemesdeferred correction

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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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Reprint of ``Variable-step finite difference schemes for the solution of Sturm-Liouville problems ⋮ A finite differences MATLAB code for the numerical solution of second order singular perturbation problems ⋮ Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations ⋮ Variable-step finite difference schemes for the solution of Sturm-Liouville problems

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