Second-order, L0-stable methods for the heat equation with time-dependent boundary conditions

E. H. Twizell, A. B. Gumel, M. A. Arigu

Research output: Contribution to journalArticle

43 Scopus citations

Abstract

A family of second-order, L0-stable methods is developed and analysed for the numerical solution of the simple heat equation with time-dependent boundary conditions. Methods of the family need only real arithmetic in their implementation. In a series of numerical experiments no oscillations, which are a feature of some results obtained using A0-stable methods, are observed in the computed solutions. Splitting techniques for first- and second-order hyperbolic problems are also considered.

Original languageEnglish (US)
Pages (from-to)333-352
Number of pages20
JournalAdvances in Computational Mathematics
Volume6
Issue number1
DOIs
StatePublished - Jan 1 1996
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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