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Research Article Open access CC BY 3.0

Generalized Sturm-Liouville Problems and Chebychev Collocation Method

Mohamed El-Gamel, Mona Sameeh

Journal of Advances in Mathematics and Computer Science · pp. 1124–1133 · Published 17 Feb 2014

10.9734/BJMCS/2014/7670

Abstract

In this paper, we present an algorithm for approximating the eigenvalues of Sturm-Liouville problems with parameter-dependent boundary conditions. The algorithm is based on the Chebychev method. A few examples shall be presented to illustrate the proposed method and a comparison made with the regularized sampling method. It is shown that the Chebychev method yields better results.

Eigenvalues Sturm-Liouville Chebychev polynomials.

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