A Sine-Collocation Method for the Computation of the Eigenvalues of the Radial Schr?dinger Equation |
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| Authors: | LUND JOHN R; RILEY BRUCE V |
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| Institution: |
Department of Mathematical Sciences, Montana State University Bozeman, MT 59717, U.S.A.
Department of Mathematics, Plymouth State College Plymouth, NH 03264, U.S.A.
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| Abstract: | A collocation scheme using sine function basis elements is developedand used to approximate the eigenvalues of the radial Schr?dingerequation. The method is shown to apply to problems with singulareigensolutions and error bounds for the approximate eigenvaluesare given. The method is applied to a few test examples to indicateboth the accuracy and the implementation of the method. |
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