Computing eigenvalues of Sturm-Liouville problems by Hermite interpolations

被引：13

作者：

Annaby, Mahmoud H. ^{[1
,2
]}

Asharabi, Rashad M. ^{[3
]}

机构：

[1] Qatar Univ, Dept Math Stat & Phys, Doha, Qatar

[2] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt

[3] Sanaa Univ, Dept Math, Fac Sci, Sanaa, Yemen

来源：

NUMERICAL ALGORITHMS | 2012年 / 60卷 / 03期

关键词：

Sinc method; Hermite interpolations; Sturm-Liouville problem; SAMPLING METHOD; COMPUTATION;

D O I：

10.1007/s11075-011-9518-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a new method to compute the eigenvalues of Sturm-Liouville problems by the use of Hermite interpolations at equidistant nodes. We rigorously give estimates for the error by considering both truncation and amplitude errors. We compare the results of the new technique with those involving the classical sinc method as well as a SLEIGN2-based method. We also introduce curves that illustrate the enclosure intervals.

引用

页码：355 / 367

页数：13

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