Additive parameters methods for the numerical integration of y″ = f (t, y, y′)

A. Sesappa Rai, U. Ananthakrishnaiah

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6 Citations (Scopus)


In this paper numerical methods for the initial value problems of general second order differential equations are derived. The methods depend upon the parameters p and q which are the new additional values of the coefficients of y′ and y in the given differential equation. Here, we report a new two step fourth order method. As p tends to zero and q ≥ (2π/h)2 the method is absolutely stable. Numerical results are presented for Bessel's, Legendre's and general second order differential equations.

Original languageEnglish
Pages (from-to)271-276
Number of pages6
JournalJournal of Computational and Applied Mathematics
Issue number2
Publication statusPublished - 29-03-1996
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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