Eigenvalues and eigenfunctions of fourth-order sturm-liouville problems using Bernoulli series with Chebychev collocation points

被引：0
|
作者：
Mohamed El-Gamel
Waleed Adel
M. S. El-Azab
机构：
[1] Mansoura University,Department of Mathematics and Engineering Physics, Faculty of Engineering
来源：
Mathematical Sciences | 2022年 / 16卷
关键词：
Bernoulli matrix; Eigenvalue; Eigenfunctions; Sturm-Liouville; Primary: 65L15; Secondary: 34L10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A collocation method based on Bernoulli polynomial is developed to compute the eigenvalues and eigenfunctions of some known fourth-order Sturm-Liouville problems. Properties of Bernoulli matrix method are presented to convert the problem into a system of linear algebraic equations. Error estimation is introduced. The eigenfunctions are calculated for the test problems. A comparison is made with other relevant studies.
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页码：97 / 104
页数：7
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