Obrechkoff methods having additional parameters for general second-order differential equations

A. Sesappa Rai, U. Ananthakrishnaiah

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A class of two-step implicit methods involving higher-order derivatives of y for initial value problems of the form y″ = f(t, y, y′)is developed. The methods involve arbitrary parameters p and q, which are determined so that the methods become absolutely stable when applied to the test equation y″ + λy′ + μy = 0. Numerical results for Bessel's and general second-order differential equations are presented to illustrate that the methods are absolutely stable and are of order O(h4), O(h6) and O(h8).

Original languageEnglish
Pages (from-to)167-182
Number of pages16
JournalJournal of Computational and Applied Mathematics
Issue number2
Publication statusPublished - 17-03-1997
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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