TWO-DIMENSIONAL SINGULAR FREDHOLM INTEGRAL EQUATION WITH APPLICATIONS IN CONTACT PROBLEMS

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.