Hybrids of the heat balance integral method

O. P. Layeni, J. V. Johnson

    Research output: Contribution to journalArticlepeer-review

    Abstract

    A framework for refining and hybridizing the heat balance integral method is proposed. While showing the non-uniqueness of a combined integral method in the sense of Myers and Mitchell [T.G. Myers, S.L. Mitchell, Application of the combined integral method to Stefan problems, Applied Mathematical Modelling 35 (9) (2011) 4281-4294], it is evinced through the hybrids advanced and benchmarks undertaken, that for the class of finite Puiseux series commonly employed, there are no globally efficient exponents. Synthesis of local regions of high accuracy of these hybrids is realized through the introduction of an applicable splicing algorithm.

    Original languageEnglish
    Pages (from-to)7431-7444
    Number of pages14
    JournalApplied Mathematics and Computation
    Volume218
    Issue number14
    DOIs
    StatePublished - Mar 15 2012

    Keywords

    • Heat balance integral method
    • Hermite interpolation
    • Moments
    • Splicing
    • Stefan problem

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