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

Qasem M. Al-Mdallal; Muhammed I. Syam

doi:10.1016/j.amc.2014.01.083

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

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	391-398
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	232
DOIs	https://doi.org/10.1016/j.amc.2014.01.083
Publication status	Published - Apr 12 2014

Keywords

A Chebyshev collocation method
Eigenvalues
Path following method
Sixth-order Sturm-Liouville problem

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2014.01.083

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title = "The Chebyshev collocation-path following method for solving sixth-order Sturm-Liouville problems",

abstract = "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.",

keywords = "A Chebyshev collocation method, Eigenvalues, Path following method, Sixth-order Sturm-Liouville problem",

author = "Al-Mdallal, \{Qasem M.\} and Syam, \{Muhammed I.\}",

note = "Funding Information: The authors would like to express their appreciation for the valuable comments of the reviewers. The authors also would like to express their sincere appreciation to the United Arab Emirates University Research Affairs for the financial support of Grant No. 1643–02–01–10 .",

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AU - Al-Mdallal, Qasem M.

AU - Syam, Muhammed I.

N1 - Funding Information: The authors would like to express their appreciation for the valuable comments of the reviewers. The authors also would like to express their sincere appreciation to the United Arab Emirates University Research Affairs for the financial support of Grant No. 1643–02–01–10 .

PY - 2014/4/12

Y1 - 2014/4/12

N2 - 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.

AB - 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.

KW - A Chebyshev collocation method

KW - Eigenvalues

KW - Path following method

KW - Sixth-order Sturm-Liouville problem

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JO - Applied Mathematics and Computation

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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