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Comparison of Block Methods with Different Step-Lengths for Solving Second Order Ordinary Differential Equations


Omar, Zurni and Kuboye, John Olusola (2018) Comparison of Block Methods with Different Step-Lengths for Solving Second Order Ordinary Differential Equations. Journal of Computational and Theoretical Nanoscience, 15 (3). pp. 966-971. ISSN 1546-1955

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Abstract

This article considers the derivation and comparison of block methods with various step-lengths for solving second order initial value problems.The methods were developed via interpolation and collocation approach where a power series was employed as the interpolation equation.The developed methods using different step-lengths were applied to solve second order ordinary differential equations and the numerical solutions were then compared.In general, the results suggested that the higher step-length used, the better accuracy achieved.Further comparison with the existing methods also revealed that these block methods produced better accuracy when solving the same problems.

Item Type: Article
Uncontrolled Keywords: Block method; collocation; interpolation; power series; second order ordinary differential equations
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: School of Quantitative Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 04 Jul 2018 07:57
Last Modified: 04 Jul 2018 07:57
URI: http://repo.uum.edu.my/id/eprint/24383

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