Splitting methods for fourth order parabolic partial differential equations

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    Abstract

    In this paper, several splitting methods are discussed which can be used to solve fourth order parabolic partial differential equations that are given in some suitable first order system form. The methods are generalisations of splitting methods for (second order) parabolic PDE's. For all methods which are considered, stability or instability is studied for problems in 2 and in 3 or more spatial dimensions. AMS Subject Classification (1980) 65M10 - 65M20 Key words Fourth order parabolic partial differential equation - numerical analysis - method of lines - splitting method
    Original languageEnglish
    Pages (from-to)335-350
    Number of pages16
    JournalComputing
    Volume37
    Issue number4
    DOIs
    Publication statusPublished - 1986

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