Solving the Biharmonic Equation as Coupled Finite Difference Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1971 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 8, pages 278-287 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Ehrlich, L. W.;

doi: 10.1137/0708029

Solving the Biharmonic Equation as Coupled Finite Difference Equations

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Abstract

A technique is proposed for solving the finite difference biharmonic equation as a coupled pair of harmonic difference equations. Essentially, the method is a general block SOR method with convergence rate $O(h^{{1 / 2}} )$ on a square, where h is mesh size.

Keywords

Finite difference methods for boundary value problems involving PDEs, numerical analysis, Finite difference methods for initial value and initial-boundary value problems involving PDEs

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