Numerical solution of singular perturbation problems for the fourth-order elliptic differential equations

DOI10.1007/BF02451481zbMath0829.65119OpenAlexW4245352275MaRDI QIDQ1192670

Yucheng Su, Guo Qing Liu

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf02451481

zbMATH Keywords

numerical exampleuniform convergencefinite difference schemesingular perturbationsfourth-order elliptic differential equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

A uniformly convergent difference scheme for the singular perturbation problem of a high order elliptic differential equation

Cites Work

• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Asymptotic solution of singular perturbation problems for the fourth- order elliptic differential equations
• Singular Perturbations of Elliptic Equations. I

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