Abstract
A collocation scheme using sine basis functions is developed to approximate the eigenvalues of regular and singular Sturm-Liouville boundary value problems. The error in the approximation of the eigenvalues is shown to converge at the rate exp(− α √ N) ( α > 0), where 2 N + 1 basis elements in the collocation scheme are used. A number of test examples are included (both finite and infinite interval boundary value problems) to indicate the accuracy and demonstrate the implementation of the method.
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