IJPAM: Volume 76, No. 2 (2012)

EXPLICIT METHOD IN SOLVING
ORDINARY DIFFERENTIAL EQUATIONS
OF THE SECOND ORDER

P.K. Pandey$^1$, S.S.A. Jaboob$^2$
$^1$Department of Mathematics
Dyal Singh College
University of Delhi
New Delhi, 110003, INDIA
Salalah College of Applied Sciences
P.O. Box 1905, 211, Salalah, OMAN


Abstract. In this paper we developed a non-standard explicit method for ordinary differential equation of the second order initial value problem. We have presented convergence and stability analysis for the method that we have developed. These analysis revealed that the method is convergent and A-stable. Numerical results show that the method is accurate, effective and efficient.

Received: November 12, 2011

AMS Subject Classification:

Key Words and Phrases: rational method, A-stable, initial value problem, non-standard method

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 76
Issue: 2