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DOE OSTI · 22769209

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

Benrabia, Noureddine·Guebbai, Hamza
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Abstract

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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97 MATHEMATICS AND COMPUTINGCONVERGENCEINTEGRAL EQUATIONSKERNELSMATHEMATICAL SOLUTIONSSINGULARITY

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Benrabia, Noureddine, Guebbai, Hamza. 2018-09-15. On the regularization method for Fredholm integral equations with odd weakly singular kernel. https://doi.org/10.1007/s40314-018-0625-3

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