A computational method for solving weakly singular Fredholm integral equation in reproducing kernel spaces

In the present paper, we propose a method to solve a class of weakly singular Fredholm integral equations of the second kind in reproducing kernel spaces. The Taylor series of the unknown function is used to remove the singularity and bases of reproducing kernel spaces are used to solve this equation. Efficiency of the proposed method is investigated through various examples.

Keywords:

Weakly singular kernel , Fredholm integral equations , Taylor series , Reproducing kernel space