Omar, Zurni and Alkasassbeh, M. F. (2016) Generalized one-step third derivative implicit hybrid block method for the direct solution of second order ordinary differential equation. Applied Mathematical Sciences, 10 (9). pp. 417-430. ISSN 1314-7552

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Abstract

In this article, an implicit hybrid method of order six is developed for the direct solution of second order ordinary differential equations using collocation and interpolation approach.To derive this method, the approximate solution power series is interpolated at the first and off-step points and its second and third derivatives are collocated at all points in the given interval.Besides having good numerical method properties, the new developed method is also superior to the existing methods in terms of accuracy when solving the same problems.

Item Type:	Article
Uncontrolled Keywords:	Collocation, Interpolation, Hybrid Block Methods, Second Order Ordinary Differential Equation, Direct Solution, Third derivative
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Prof. Dr. Zurni Omar
Date Deposited:	21 Jul 2016 07:16
Last Modified:	21 Jul 2016 07:16
URI:	https://repo.uum.edu.my/id/eprint/18436

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