Septic spline solutions of sixth-order boundary value problems

被引：29
|
作者：
Siddiqi, Shahid S. [1 ]
Akram, Ghazala [1 ]
机构：
[1] Univ Punjab, Dept Math, Lahore, Pakistan
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 215卷 / 01期
关键词：
septic spline; boundary value problems; end conditions; error bound;
D O I：
10.1016/j.cam.2007.04.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Septic spline is used for the numerical solution of the sixth-order linear, special case boundary value problem. End conditions for the definition of septic spline are derived, consistent with the sixth-order boundary value problem. The algorithm developed approximates the solution and their higher-order derivatives. The method has also been proved to be second-order convergent. Three examples are considered for the numerical illustrations of the method developed. The method developed in this paper is also compared with that developed in [M. El-Gamel, J.R. Cannon, J. Latour, A.I. Zayed, Sinc-Galerkin method for solving linear sixth order boundary-value problems, Mathematics of Computation 73, 247 (2003) 1325-1343], as well and is observed to be better. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：288 / 301
页数：14
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