Omar, Zurni and Abdelrahim, Ra’ft (2016) Direct solution of fourth order ordinary differential equations using a one step hybrid block method of order five. International Journal of Pure and Apllied Mathematics, 109 (4). pp. 763-777. ISSN 1311-8080

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Abstract

In this article, a power series of order eight is adopted as a basis function to develop one step hybrid block method with three off step points for solving general fourth order ordinary differential equations. The strategy is employed for the developing this method are interpolating the power series at $x_n $ and all off-step points and collocating its fourth derivative at all points in the selected interval. The method derived is proven to be consistent, zero stable and convergent with order five. Taylor’s series is used to supply the starting values for the implementation of the method while the performance of the method is tasted by solving linear and non-linear problems.

Item Type:	Article
Uncontrolled Keywords:	hybrid method, block method, fourth order differential equation, power series, three off step points
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Mrs. Norazmilah Yaakub
Date Deposited:	13 Dec 2020 06:10
Last Modified:	13 Dec 2020 06:10
URI:	https://repo.uum.edu.my/id/eprint/27961

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