The Chebyshev collocation-path following method for solving sixth-order Sturm-Liouville problems

被引：13

作者：

Al-Mdallal, Qasem M. ^{[1
]}

Syam, Muhammed I. ^{[1
]}

机构：

[1] UAE Univ, Coll Sci, Dept Math Sci, Al Ain, U Arab Emirates

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 232卷

关键词：

Sixth-order Sturm-Liouville problem; A Chebyshev collocation method; Eigenvalues; Path following method; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; OSCILLATION-THEORY; 4TH-ORDER; EIGENVALUES; SYSTEMS;

D O I：

10.1016/j.amc.2014.01.083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we implement a Chebyshev collocation method to approximate the eigenvalues of nonsingular sixth-order Sturm-Liouville problem. This method transforms the Sturm-Liouville problem to a sparse singular linear system which is solved by the path following technique. Numerical results demonstrate the accuracy and efficiency of the present algorithm. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：391 / 398

页数：8

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