Two-dimensional singular fredholm integral equation with applications in contact problems

Abstract EN

In this paper we discuss the solution of the Two-dimensional singular Fredholm integral equation (T-DFIE).

The existence of a unique solution of the T-DFIE is discussed and proved using Banach Fixed point theorem.

Then, using Toeplitz matrix method and Product Nystrom method, we obtain a linear algebraic system of equations (LAS).

Some numerical cases, in contact problems when the kernel takes Cauchy kernel, logarithmic form and Carleman function, are solved.