On the Integration of Stiff ODEs Using Block Backward Differentiation Formulas of Order Six

被引：11
|
作者：
Nasarudin, Amiratul Ashikin [1 ]
Ibrahim, Zarina Bibi [2 ]
Rosali, Haliza [1 ]
机构：
[1] Fac Sci, Dept Math, Serdang 43400, Upm, Malaysia
[2] Fac Sci, Inst Math Res, Dept Math, Serdang 43400, Upm, Malaysia
来源：
SYMMETRY-BASEL | 2020年 / 12卷 / 06期
关键词：
fully implicit; block backward differentiation formula; off-step point;
D O I：
10.3390/sym12060952
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this research, a six-order, fully implicit Block Backward Differentiation Formula with two off-step points (BBDFO(6)), for the integration of first-order ordinary differential equations (ODEs) that exhibit stiffness, is proposed. The order, consistency and stability properties of the method are discussed, and the method is found to be zero stable and consistent. Hence, the method is convergent. The numerical comparisons with the existing methods of a similar type are given to demonstrate the accuracy of the derived method.
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页数：13
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