Hybrids of the heat balance integral method

O. P. Layeni, J. V. Johnson

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


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
Issue number14
StatePublished - Mar 15 2012


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


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