A New Implicit Block Method for Solving Second Order Ordinary Differential Equations Directly

被引：0
|
作者：
Omar, Zurni [1 ]
Kuboye, John Olusola [1 ]
机构：
[1] Univ Utara Malaysia Sintox, Sch Quantitat Sci, Dept Math, Kedah, Malaysia
来源：
GAZI UNIVERSITY JOURNAL OF SCIENCE | 2015年 / 28卷 / 04期
关键词：
Power series; Interpolation; Collocation; Block Method; Ordinary Differential Equations;
D O I：
暂无
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：
This article considers the derivation of an implicit block method for the solution of initial value problems of ordinary differential equations directly. The method of interpolation and collocation is adopted in developing the method where approximated power series of the form y(x) = Sigma(k+2)(j=0)a(j)x(j) is used as an interpolation polynomial and its second derivative is collocated at the selected grid points where k=5. The method developed is zero stable, consistent and convergent. The generated numerical results show that the new method is better when compared with the existing methods of the same step-length in terms of error.
引用
收藏
页码：689 / 694
页数：6
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