A modified Nyström method for integral equations with Mellin type kernels

The aim of this paper is to propose a new modified Nystrom method for the approximation of the solutions of second kind integral equations with fixed singularities of Mellin convolution type. The stability and the convergence are proved in L 2 spaces and error estimates in L 2 norm are given. Finally, numerical tests showing the effectiveness of the method are presented.

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