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The Computer Journal 1965 8(3):280-287; doi:10.1093/comjnl/8.3.280
© 1965 by British Computer Society
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A stable explicit method for the finite-difference solution of a fourth-order parabolic partial differential equation

D. J. Evans *

University Computing Laboratory, University of Sheffield, Sheffield, Yorks, UK

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.


* University Computing Laboratory, University of Sheffield, Sheffield, Yorks.


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