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Weighted block Runge-Kutta method for solving stiff ordinary differential equations


Citation

Jana Aksah, Saufianim and Ibrahim, Zarina Bibi and Rahim, Yong Faezah and Ibrahim, Siti Nur Iqmal (2016) Weighted block Runge-Kutta method for solving stiff ordinary differential equations. Malaysian Journal of Mathematical Sciences, 10 (3). pp. 345-360. ISSN 1823-8343; ESSN: 2289-750X

Abstract

In this paper, weighted block Runge-Kutta (WBRK) method is derived for solving stiff ordinary differential equations (ODEs). Implementation of weights on the method and its stability region are shown. Numerical results of the WBRK method are presented and compared with the existing methods to prove the ability of the proposed method to solve stiff ODEs. The results show that the WBRK method has better accuracy than the comparing methods.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Keywords: Runge-Kutta method; Weights; Block method; Stiff ODEs; Centroidal mean
Depositing User: Nabilah Mustapa
Date Deposited: 05 Jun 2017 09:15
Last Modified: 05 Jun 2017 09:15
URI: http://psasir.upm.edu.my/id/eprint/52323
Statistic Details: View Download Statistic

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