Legendre spectral projection methods for weakly singular Hammerstein integral equations of mixed type (Q779786)
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scientific article; zbMATH DE number 7220225
| Language | Label | Description | Also known as |
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| English | Legendre spectral projection methods for weakly singular Hammerstein integral equations of mixed type |
scientific article; zbMATH DE number 7220225 |
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Legendre spectral projection methods for weakly singular Hammerstein integral equations of mixed type (English)
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14 July 2020
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The paper deals with spectral projection and related methods for the numerical solution of Hammerstein integral equations with weakly singular kernels. Error estimates are provided in \(L_2\) and \(L_\infty\) norms under certain smoothness assumptions on the exact solutions. In view of the singularities in the kernel, this reviewer believes that these smoothness assumptions will be satisfied only in exceptional situations.
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Hammerstein integral equations of mixed type
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weakly singular kernels
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Legendre spectral projection methods
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multi-projection methods
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