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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.