Generalized Jacobi rational spectral method on the half line (Q695635)
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scientific article; zbMATH DE number 6117980
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized Jacobi rational spectral method on the half line |
scientific article; zbMATH DE number 6117980 |
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Generalized Jacobi rational spectral method on the half line (English)
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21 December 2012
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An orthogonal system on the half line, induced by generalized Jacobi functions is introduced. Some basic results on the generalized Jacobi rational approximation are established, which play important roles in the related spectral method. As an example of applications, the rational spectral method is proposed for partial differential equations of degenerate type. Its convergence is proved. Numerical results demonstrate its efficiency.
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generalized Jacobi rational approximation
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spectral method on the half line
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degenerate parabloic equations
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convergence
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numerical results
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