Legendre expansion method for the solution of the second-and fourth-order elliptic equations (Q1614034)
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scientific article; zbMATH DE number 1794865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Legendre expansion method for the solution of the second-and fourth-order elliptic equations |
scientific article; zbMATH DE number 1794865 |
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Legendre expansion method for the solution of the second-and fourth-order elliptic equations (English)
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3 September 2002
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A formula expressing Legendre polynomials in terms of their derivatives and a formula expressing a Legendre polynomial integrated \(k\)-times in terms of Legendre polynomials is presented. By using these formulae second- and fourth-order elliptic equations are solved. The numerical results are in good agreement with the exact solution.
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spectral methods
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Legendre polynomials
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Helmholtz equation
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biharmonic equation
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numerical results
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