Asymptotic initial value methods for two-parameter singularly perturbed boundary value problems for second order ordinary differential equations.

DOI10.1016/S0096-3003(02)00160-1zbMath1033.65062MaRDI QIDQ1406108

D. Massart

Publication date: 9 September 2003

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

zbMATH Keywords

stabilitysingular perturbationerror estimatesasymptotic expansionnumerical examplesboundary value problemboundary layersecond-order ordinary differential equationtwo parameterinitial value methodexponentially fitted finite difference scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) 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)

Related Items

A maximum entropy method for solving the boundary value problem of second order ordinary differential equations ⋮ An asymptotic initial-value method for second order singular perturbation problems of convection-diffusion type with a discontinuous source term ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ An asymptotic initial value method for boundary value problems for a system of singularly perturbed second order ordinary differential equations. ⋮ Asymptotic initial-value method for second-order singular perturbation problems of reaction-diffusion type with discontinuous source term ⋮ Asymptotic initial-value method for a system of singularly perturbed second-order ordinary differential equations of convection–diffusion type ⋮ A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems ⋮ Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms

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