Fourth-order finite-difference method for boundary value problems with two small parameters

DOI10.1016/j.amc.2011.05.113zbMath1228.65114OpenAlexW1987977276MaRDI QIDQ720658

Đorđe D. Herceg

Publication date: 11 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.05.113

zbMATH Keywords

singular perturbationnumerical exampleserror boundsfinite differencesBakhvalov meshlinear two-point boundary value problemtwo small parametersnonequidistant mesh

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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items

A general view on double limits in differential equations ⋮ A new implicit-explicit local differential method for boundary value problems ⋮ A singularly perturbed problem with two parameters on a Bakhvalov-type mesh ⋮ Rational spectral collocation and differential evolution algorithms for singularly perturbed problems with an interior layer ⋮ A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition

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