Developing Block Method of Order Seven for Solving Third Order Ordinary Differential Equations Directly using Multistep Collocation Approach

被引：0
|
作者：
Omar, Z. [1 ]
Kuboye, J. O. [1 ]
机构：
[1] Univ Utara Malaysia, Sch Quantitat Sci, Dept Math, Kedah, Malaysia
来源：
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2015年 / 53卷 / 03期
关键词：
Power Series; Collocation; Block method; Third Order Ordinary Differential Equations; Direct Solution;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the development of block method for solving third order ordinary differential equations. The method is developed through multistep collocation approach where power series approximate solution is used as the basic polynomial. The properties of the block is established, that is zero stability, consistency, order and the region of absolute stability. The method is simultaneously applied to initial value problems and it was found better when comparison is made with the existing methods.
引用
收藏
页码：165 / 173
页数：9
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