Regularization and Fourier Series for Fredholm Integral Equations of the Second Kind with a Weakly Singular Kernel |
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Authors: | Hamza Guebbai |
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Affiliation: | Laboratoire de Mathématiques Appliquées et de Modélisation, Faculté de Mathématiques et de l’Informatique et des Sciences de la Matière, Guelma, Algérie |
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Abstract: | To compute an approximate solution, of a weakly singular integral equation, we first regularize the kernel, and then truncate the associated Fourier series. An application to an astrophysical transfer equation is presented. |
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Keywords: | Convolution Fourier series integral equation weak singularity |
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