Abdelrahim, Ra’ft and Omar, Zurni (2016) Direct solution of second-order ordinary differential equation using a single-step hybrid block method of order five. Mathematical and Computational Applications, 21 (2). pp. 2-7. ISSN 2297-8747

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Abstract

This paper proposes a new hybrid block method of order five for solving second-order ordinary differential equations directly. The method is developed using interpolation and collocation techniques. The use of the power series approximate solution as an interpolation polynomial and its second derivative as a collocation equation is considered in deriving the method. Properties of the method such as zero stability, order, consistency, convergence and region of absolute stability are investigated. The new method is then applied to solve the system of second-order ordinary differential equations and the accuracy is better when compared with the existing methods in terms of error.

Item Type:	Article
Uncontrolled Keywords:	single-step; hybrid block method; system of second order ordinary differential equations; collocation and Interpolation method; direct solution
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Mrs. Norazmilah Yaakub
Date Deposited:	22 Dec 2020 02:20
Last Modified:	22 Dec 2020 02:20
URI:	https://repo.uum.edu.my/id/eprint/27971

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