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

Qasem M. Al-Mdallal and Muhammed I. Syam

Applied Mathematics and Computation, 2014, vol. 232, issue C, 391-398

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: Sixth-order Sturm–Liouville problem; A Chebyshev collocation method; Eigenvalues; Path following method (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:391-398

DOI: 10.1016/j.amc.2014.01.083

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