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Hybrid one-step block fourth derivative method for the direct solution of third order initial value problems of ordinary differential equations


Alkasassbeh, Mohammad and Omar, Zurni (2018) Hybrid one-step block fourth derivative method for the direct solution of third order initial value problems of ordinary differential equations. International Journal of Pure and Applied Mathematics, 119 (1). pp. 207-224. ISSN 1311-8080

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Abstract

An efficient one step block method with generalized two-point-hybrid is developed for solving initial value problems of third order ordinary differential equations directly. In driving this algorithm, a power series approximate function is interpolated at {xn, xn+r, xn+s} while its third and fourth derivatives are collocated at all points {xn, xn+r, xn+s, xn+1} in the given interval. The proposed method is then tested for initial value problems of third order ordinary differential equations solved previously by other methods. The numerical results confirm the superiority of the new method to the existing methods regarding accuracy.

Item Type: Article
Uncontrolled Keywords: direct solution, third order ordinary differential equation, interpolation and collocation, hybrid block methods, fourth derivative
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: School of Quantitative Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 01 Dec 2020 06:04
Last Modified: 01 Dec 2020 06:04
URI: http://repo.uum.edu.my/id/eprint/27940

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