The difference method for the solution of singular perturbation problems for elliptic-parabolic differential equations

DOI10.1007/BF01876743zbMath0606.65069WikidataQ115393110 ScholiaQ115393110MaRDI QIDQ1084842

Yucheng Su, Chi-kuang Wu

Publication date: 1980

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplesmall parameterasymptotic behaviourelliptic equationsboundary layerparabolic equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

Related Items (6)

A note on the method of weighted differences ⋮ Exponential dichotomies of nonlinear discrete systems and its application to numerical analysis and computation ⋮ A uniformly convergent difference scheme for the singular perturbation of a self adjoint elliptic partial differential equation ⋮ The finite element method of singular perturbation problem ⋮ The finite element scheme for ordinary differential equation with small parameter ⋮ The necessary and sufficient condition of uniformly convergent difference schemes for the elliptic-parabolic partial differential equation with a small parameter

Cites Work

• On Non‐Linear Ordinary Differential Equations of Boundary Layer Type
• On a Differential Equation of Boundary Layer Type
• The Numerical Solution of Singular Perturbations of Boundary Value Problems
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