Spectral methods using rational basis functions on an infinite interval (Q1820565)
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scientific article; zbMATH DE number 3997069
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral methods using rational basis functions on an infinite interval |
scientific article; zbMATH DE number 3997069 |
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Spectral methods using rational basis functions on an infinite interval (English)
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1987
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The author is concerned with solving differential equations defined on (- \(\infty,\infty)\) by first using the mapping \(y=L \cot (t)\), where L is a constant and then applying the Galerkin method. He extends earlier results [\textit{C. E. Grosch} and \textit{S. A. Orszag}, ibid. 25, 273-295 (1977; Zbl 0403.65050) and the author, ibid. 45, 43-79 (1982; Zbl 0488.65035)] giving the rigorous foundations of the approach and improving algorithms. As an illustration five numerical examples are presented.
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spectral methods
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Galerkin method
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numerical examples
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