A modified Nystrom method for integral equations with Mellin type kernels

作者：De Bonis M C; Laurita C^*

来源：Journal of Computational and Applied Mathematics, 2016, 296: 512-527.

DOI：10.1016/j.cam.2015.10.010

• Mellin kernel
• Integral equations of Mellin type
• Nystrom method
• Lagrange interpolation
• Gaussian rule

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.

• 出版日期2016-4