Generalized Sturm-Liouville Problems and Chebychev Collocation Method
Mohamed El-Gamel *
Department of Mathematical Sciences, Mansoura University, Egypt.
Mona Sameeh
Department of Mathematical Sciences, Mansoura University, Egypt.
*Author to whom correspondence should be addressed.
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.
Keywords: Eigenvalues, Sturm-Liouville, Chebychev polynomials.