An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems (Q1587743)
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scientific article; zbMATH DE number 1538319
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems |
scientific article; zbMATH DE number 1538319 |
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An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems (English)
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3 December 2000
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This paper deals with the exponentially- and trigonometrically-fitted Runge-Kutta methods up to the fourth algebraic order. An embedded exponentially-fitted method for the integration of the Schrödinger equation and the related initial-value problems with periodic or oscillating solutions is developed. Numerical results show the efficiency of the new method.
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embedded Runge-Kutta methods
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initial-value problems
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periodic solutions
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oscillating solutions
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exponential fitting
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Schrödinger equation
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numerical results
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0.9386763
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0.9264357
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0.9264357
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0.92597187
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0.9239549
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0.9212159
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0.92076653
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0.9205619
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0.9203899
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