IJPAM: Volume 103, No. 2 (2015)

A FOURTH ORDER TRIGONOMETRICALLY FITTED
METHOD WITH THE BLOCK UNIFICATION
IMPLEMENTATION APPROACH FOR OSCILLATORY
INITIAL VALUE PROBLEMS

P.L. Ndukum$^1$, T.A. Biala$^2$, S.N. Jator$^3$, R.B. Adeniyi$^4$
$^1$Department of Mathematics
University of Dschang
CAMEROON
$^2$Department of Mathematics and Computer Science
Sule Lamido University
P.M.B. 048 Kafin Hausa, NIGERIA
$^3$Department of Mathematics
University of Ilorin
Ilorin, NIGERIA
$^4$Department of Mathematics and Statistics
Austin Peay State University
Clarksville, TN 37044, USA


Abstract. This paper is concerned with the construction and implementation of a continuous fourth order trigonometrically fitted method on oscillatory initial value problems (IVPs). The continuous scheme is used to generate four discrete methods as by products. The four discrete schemes are weighted thesame and used via the Block Unification Approach to obtain approximate solutions to first order IVPs with oscillating solutions. The convergence of the method is established and two test problems are given to show the accuracy and computational efficiency of the scheme.

Received: March 21, 2015

AMS Subject Classification: 65L05, 65L06

Key Words and Phrases: oscillatory IVPs, trigonometrically-fitted methods, stability

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DOI: 10.12732/ijpam.v103i2.6 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 103
Issue: 2
Pages: 201 - 213


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