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

A. Sesappa Rai, U. Ananthakrishnaiah

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume67
Issue number2
DOIs
Publication statusPublished - 29-03-1996
Externally publishedYes

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Numerical integration
Differential equations
Second order differential equation
Initial value problems
Friedrich Wilhelm Bessel
Legendre
Initial Value Problem
Fourth Order
Numerical methods
Numerical Methods
Tend
Differential equation
Numerical Results
Zero
Coefficient

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Cite this

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Additive parameters methods for the numerical integration of y″ = f (t, y, y′). / Sesappa Rai, A.; Ananthakrishnaiah, U.

In: Journal of Computational and Applied Mathematics, Vol. 67, No. 2, 29.03.1996, p. 271-276.

Research output: Contribution to journalArticle

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