On the regularization method for Fredholm integral equations with odd weakly singular kernel

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Computational and Applied Mathematics

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In this paper, we propose a numerical method to approach the solution of a Fredholm integral equation with a weakly singular kernel by applying the convolution product as a regularization operator and the Fourier series as a projection. Preliminary numerical results show that the order of convergence of the method is better than the one of conventional projection methods.

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https://doi.org/10.1007/s40314-018-0625-3

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