A Conservative Uniformly Accurate Difference Method for a Singular Perturbation Problem in Conservation Form

DOI10.1137/0723084zbMath0621.65090OpenAlexW2090870797MaRDI QIDQ3757311

Alan E. Berger

Publication date: 1986

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0723084

zbMATH Keywords

singular perturbation problemconservation formthree point difference scheme

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (10)

\(L^ 1\) and \(L^{\infty}\) uniform convergence of a difference scheme for a semilinear singular perturbation problem ⋮ A uniform finite element method for a conservative singularly perturbed problem ⋮ Modified oci scheme for two-point boundary-value problems ⋮ A parameter robust Petrov-Galerkin scheme for advection-diffusion-reaction equations ⋮ Uniform convergence difference schemes for singularly perturbed mixed boundary problems. ⋮ A uniform high-order method for a singular perturbation problem in conservative form ⋮ Approximation of derivatives in a convection-diffusion two-point boundary value problem ⋮ Uniformly convergent finite difference methods for singularly perturbed problems with turning points ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations ⋮ A uniform scheme for the singularly perturbed Riccati equation

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