IJPAM: Volume 103, No. 2 (2015)
METHOD WITH THE BLOCK UNIFICATION
IMPLEMENTATION APPROACH FOR OSCILLATORY
INITIAL VALUE PROBLEMS





University of Dschang
CAMEROON

Sule Lamido University
P.M.B. 048 Kafin Hausa, NIGERIA

University of Ilorin
Ilorin, NIGERIA

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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This work is licensed under the Creative Commons Attribution International License (CC BY).