A stable explicit method for the finite-difference solution of a fourth-order parabolic partial differential equation
Open Access
- 1 January 1965
- journal article
- Published by Oxford University Press (OUP) in The Computer Journal
- Vol. 8 (3) , 280-287
- https://doi.org/10.1093/comjnl/8.3.280
Abstract
Adaptation of the Du Fort–Frankel explicit scheme to a fourth order linear parabolic equation is shown to possess unrestricted stability for any choice of mesh spacings. Convergence and compatibility considerations are discussed and the theoretical results confirmed by numerical experiments for a chosen model problem.Keywords
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