A computational study of the discretization error in the solution of the Spencer-Lewis equation by doubling applied to the upwind finite- difference approximation (Q1206581)
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scientific article; zbMATH DE number 149159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A computational study of the discretization error in the solution of the Spencer-Lewis equation by doubling applied to the upwind finite- difference approximation |
scientific article; zbMATH DE number 149159 |
Statements
A computational study of the discretization error in the solution of the Spencer-Lewis equation by doubling applied to the upwind finite- difference approximation (English)
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1 April 1993
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This paper is a comprehensive study of the discretization error associated with the upwind finite difference method when applied to a model solution of the Spencer-Lewis equation. This model leads to a system of 2 differential equations for \(u\) and \(v\) which are the angular fluxes of right moving and left moving electrons respectively. The derivatives are in terms of the one-dimensional co-ordinate \(z\) and the electron energy \(E\). A set of conditions is deduced from this study, for the reduction of the error.
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electron transport
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charged-particle transport
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discretization error
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upwind finite difference method
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Spencer-Lewis equation
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moving electrons
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