Enclosures of the solution of the Thomas-Fermi equation by monotone discretization (Q1184633)
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scientific article; zbMATH DE number 34825
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Enclosures of the solution of the Thomas-Fermi equation by monotone discretization |
scientific article; zbMATH DE number 34825 |
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Enclosures of the solution of the Thomas-Fermi equation by monotone discretization (English)
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28 June 1992
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The construction of bounds of the solution to the boundary value problem for the Thomas-Fermi equation is considered. A new discretization concept for generating uniform lower and upper bounds of the solution is proposed. Their convexity is used to modify the occurring nonlinearity so that the right-hand side is bounded from below and from above by piecewise tangents and secants respectively. A numerical procedure is presented and numerical results are also discussed.
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monotone discretization
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enclosure of solution
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Thomas-Fermi equation
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uniform lower and upper bounds
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numerical results
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0.9045455
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0.87338483
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0.86719084
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0.8669646
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0.86128485
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0.86116666
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0.8608914
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0.85700893
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