An Implicit 2-point Block Extended Backward Differentiation Formula for Integration of Stiff Initial Value Problems

被引：0
|
作者：
Bin Suleiman, Mohamed [1 ]
Musa, Hamisu [2 ]
Ismail, Fudziah [1 ]
机构：
[1] Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia
[2] Umaru Musa Yaradua Univ Katsina, Fac Nat & Appl Sci, Dept Math & Comp Sci, PMB 2218, Katsina, Katsina State, Nigeria
来源：
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2015年 / 9卷 / 01期
关键词：
2-point block method; Stability region; Block extended backward differentiation formula; Stiff;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A class of implicit 2-point block extended backward differentiation formula (BEBDF) of order 4 is presented. The stability region of the method is constructed and shown to be A - stable. Results obtained are compared with an existing block backward differentiation formula (BBDF). The comparison shows that using constant step size and the same number of integration steps, our method achieves greater accuracy than the 2-point BBDF and is suitable for solving stiff initial value problems.
引用
收藏
页码：33 / 51
页数：19
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