A New Fifth Order Implicit Block Method for Solving First Order Stiff Ordinary Differential Equations

被引：0
|
作者：
Musa, Hamisu [1 ]
Bin Suleiman, Mohamed [2 ]
Ismail, Fudziah [1 ]
Senu, Norazak [1 ]
Majid, Zanariah Abdul [2 ]
Ibrahim, Zarina Bibi [1 ]
机构：
[1] Univ Putra Malaysia, Fac Sci, Dept Math, Serdang 43400, Selangor, Malaysia
[2] Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia
来源：
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2014年 / 8卷
关键词：
A-Stability; implicit block method; order of a block method; stiff; ordinary differential equations;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new implicit block backward differentiation formula that computes 3-points simultaneously is derived. The method is of order 5 and solves system of stiff ordinary differential equations (ODEs). The stability analysis indicates that the method is A-stable. Numerical results show that the method outperformed some existing block and non-block methods for solving stiff ODEs.
引用
收藏
页码：45 / 59
页数：15
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