Volterra type integral equation method for the radial Schrödinger equation: Single channel case (Q1779575)
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scientific article; zbMATH DE number 2173415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Volterra type integral equation method for the radial Schrödinger equation: Single channel case |
scientific article; zbMATH DE number 2173415 |
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Volterra type integral equation method for the radial Schrödinger equation: Single channel case (English)
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1 June 2005
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This paper deals with a method based on the reformulation of the second-order boundary value problem as a Volterra type integral equation which is then discretized via the Clenshaw-Curtis quadrature by partitioning of the interval into sufficiently small subintervals. The solution of this problem is also calculated by the Numerov finite difference method to compare it with the Volterra type method's accuracy. Two numerical examples are presented.
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radial Schrödinger equation
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Gauss type quadrature
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Volterra type integral equation
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comparison of methods
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Clenshaw-Curtis quadrature
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Numerov finite difference method
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numerical examples
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0.919605314731598
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0.8955711722373962
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0.7959272861480713
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0.7903415560722351
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