Solution of sixth order boundary value problems using non-polynomial spline technique

被引:50
作者
Akram, Ghazala [1 ]
Siddiqi, Shahid S. [1 ]
机构
[1] Univ Punjab, Dept Math, Lahore 54590, Pakistan
关键词
non-polynomial spline; boundary value problems; end conditions;
D O I
10.1016/j.amc.2006.01.053
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Non-polynomial spline is used for the numerical solutions of the sixth order linear special case boundary value problems. The method presented in this paper has also been proved to be second order convergent. Two examples are considered for the numerical illustrations of the method developed. The method is also compared with those developed by EI-Gamel et al. [M. El-Gamel, J.R. Cannon, J. Latour, A.I. Zayed, Sinc-Galerkin method for solving linear sixth-order boundary-value problems, Math. Comput. 73 (247) (2003) 1325-1343] and Siddiqi and Twizell [S.S. Siddiqi, E.H. Twizell, Spline solutions of linear sixth-order boundary value problems, Int. J. Comput. Math. 60 (1996) 295-304], as well and is observed to be better. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:708 / 720
页数:13
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