A new modified Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems (Q2718399)
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scientific article; zbMATH DE number 1606526
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new modified Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems |
scientific article; zbMATH DE number 1606526 |
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27 May 2002
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resonance problems
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scattering problems
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oscillating solutions
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periodic solution
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numerical examples
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error bounds
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Runge-Kutta-Nyström method
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phase-lag
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radial Schrödinger equation
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Woods-Saxon potential
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A new modified Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems (English)
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Based on a second-order homogeneous periodic test equation definitions for phase-fitting and interval of periodicity of modified Runge-Kutta-Nyström method with phase-lag of order infinity is constructed for the afore-mentioned equation. The method is proved to be of fourth algebraic order. Numerical illustrations on the radial Schrödinger equation with Woods-Saxon potential and extension to inhomogeneous equations (periodic and oscillating problems) prove the relative efficiency of the proposed method in terms of the interval of periodicity and the maximum global errors.
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