Weighted Block Runge-Kutta Method for Solving Stiff Ordinary Differential Equations

被引：0

作者：

Aksah, Saufianim Jana ^{[1
,2
]}

Ibrahim, Zarina Bibi ^{[1
,2
]}

Rahim, Yong Faezah ^{[3
]}

Ibrahim, Siti Nur Iqmal ^{[1
,2
]}

机构：

[1] Univ Putra Malaysia, Fac Sci, Dept Math, Seri Kembangan, Selangor, Malaysia

[2] Univ Putra Malaysia, Inst Math Res, Seri Kembangan, Selangor, Malaysia

[3] Univ Putra Malaysia, Ctr Fdn Studies Agr Sci, Seri Kembangan, Malaysia

来源：

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2016年 / 10卷 / 03期

关键词：

Runge-Kutta method; weights; block method; stiff ODEs; Centroidal mean;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：345 / 360

页数：16

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