Accurate solutions of fourth order Sturm-Liouville problems

被引：23
|
作者：
Chanane, Bilal [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 10期
关键词：
Fourth order Sturm-Liouville problems; Eigenvalue problems; Regularized Sampling Method; Extended Sampling Method; DEPENDENT BOUNDARY-CONDITIONS; REGULARIZED SAMPLING METHOD; FLIESS SERIES; EIGENVALUES; COMPUTATION;
D O I：
10.1016/j.cam.2010.04.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently we introduced a new method which we call the Extended Sampling Method to compute the eigenvalues of second order Sturm-Liouville problems with eigenvalue dependent potential. We shall see in this paper how we use this method to compute the eigenvalues of fourth order Sturm-Liouville problems and present its practical use on a few examples. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：3064 / 3071
页数：8
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