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Regularization and Fourier Series for Fredholm Integral Equations of the Second Kind with a Weakly Singular Kernel
Authors:Hamza Guebbai
Institution:Laboratoire de Mathématiques Appliquées et de Modélisation, Faculté de Mathématiques et de l’Informatique et des Sciences de la Matière, Guelma, Algérie
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.
Keywords:Convolution  Fourier series  integral equation  weak singularity
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