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2014 Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly
Hazizah Mohd Ijam, Mohamed Suleiman, Ahmad Fadly Nurullah Rasedee, Norazak Senu, Ali Ahmadian, Soheil Salahshour
Abstr. Appl. Anal. 2014(SI61): 1-13 (2014). DOI: 10.1155/2014/867095

Abstract

We describe the development of a 2-point block backward difference method (2PBBD) for solving system of nonstiff higher-order ordinary differential equations (ODEs) directly. The method computes the approximate solutions at two points simultaneously within an equidistant block. The integration coefficients that are used in the method are obtained only once at the start of the integration. Numerical results are presented to compare the performances of the method developed with 1-point backward difference method (1PBD) and 2-point block divided difference method (2PBDD). The result indicated that, for finer step sizes, this method performs better than the other two methods, that is, 1PBD and 2PBDD.

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Hazizah Mohd Ijam. Mohamed Suleiman. Ahmad Fadly Nurullah Rasedee. Norazak Senu. Ali Ahmadian. Soheil Salahshour. "Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly." Abstr. Appl. Anal. 2014 (SI61) 1 - 13, 2014. https://doi.org/10.1155/2014/867095

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07023222
MathSciNet: MR3263562
Digital Object Identifier: 10.1155/2014/867095

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI61 • 2014
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