Spline approximate solution of eighth-order boundary-value problems

被引：3
|
作者：
Rashidinia, J. [1 ]
Jalilian, R. [1 ]
Farajeyan, K. [2 ]
机构：
[1] Iran Univ Sci & Technol Narmak, Sch Math, Tehran, Iran
[2] Islamic Azad Univ Bonab, Dept Math, Bonab, Iran
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2009年 / 86卷 / 08期
关键词：
eighth-order boundary-value problem; non-polynomial spline functions; end conditions; convergence analysis; numerical results;
D O I：
10.1080/00207160701830203
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use non-polynomial spline functions to develop numerical methods for the solution of the eighth-order linear boundary-value problems. End conditions of the spline are derived. We compare our results with the results produced by decomposition method and polynomial spline method. However, it is observed that our approach produce better numerical solutions in the sense that max |ei| is minimum.
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页码：1319 / 1333
页数：15
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