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Weighted block Runge-Kutta method for solving stiff ODEs


Citation

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

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
Centre of Foundation Studies for Agricultural Science
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Keywords: Runge-Kutta method; Weights; Block method; Stiff ODEs; Centroidal mean
Depositing User: Ms. Ainur Aqidah Hamzah
Date Deposited: 25 May 2022 03:49
Last Modified: 25 May 2022 03:49
URI: http://psasir.upm.edu.my/id/eprint/46893
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