Numerical solution of the Sturm-Liouville problem by using Chebyshev cardinal functions
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Abstract:
In this manuscript, a numerical technique is presented for finding the eigenvalues of the regular Sturm-Liouville problems. The Chebyshev cardinal functions are used to approximate the eigenvalues of a regular Sturm-Liouville problem with Dirichlet boundary conditions. These functions defined by the Chebyshev function of the first kind. By using the operational matrix of derivative the problem is reduced to a set of algebraic equation. Finally we use some numerical examples to show that this method include to demonstrate the validity and applicability of technique.
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Journal title
volume 4 issue 16
pages 121- 128
publication date 2019-02-20
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