An exponentially fitted eighth-order method for the numerical solution of the Schrödinger equation (Q1807803)
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scientific article; zbMATH DE number 1367897
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An exponentially fitted eighth-order method for the numerical solution of the Schrödinger equation |
scientific article; zbMATH DE number 1367897 |
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An exponentially fitted eighth-order method for the numerical solution of the Schrödinger equation (English)
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27 February 2001
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The author develops an eighth algebraic order exponentially fitted method for the numerical solution of the radial Schrödinger equation. Based on this method and on the sixth order exponentially fitted method presented by the author [J. Comput. Math. 14, No. 2, 120-134 (1996; Zbl 0847.65048)] a new variable-step method is obtained. The author applies the method to some test examples consisting of coupled differential equations arising from the Schrödinger equation and the numerical results indicates it superiority with respect to other classical and exponentially fitted methods.
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radial Schrödinger equation
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exponentially fitted method
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numerical examples
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variable-step method
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