In this article, we introduce a numerical method to solve the second type Fredholm integral problem with irregular integration region. We use a transformation to regularize the irregular region of integration into a regular quadratic region, and then convert the integral equation into a system of nonlinear equations using the Gauss Lobatto-Legendre (LGL) collocation technique. Then we solve the system by Newton’s method. Finally, some examples are given to show the efficiency of the proposed method.
