الفهرس 
INTRODUCTIONOnly 14 pages are availabe for public view
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Abstract
This thesis is devoted to study the numerical solutions of some classes of integral equations, where we have studied the following: The applicability of Variational iteration method to obtain the numerical solution of Volterra and Fredholm integral equations of the second kind. The method constructs a convergent sequence of functions, which approximates the exact solution with few iterations. The Homotopy perturbation method has been introduce to obtain the numerical solution of Volterra and Fredholm integral equations of the second kind and compare the results with the Variational iteration method. A Chebyshev collocation method has been presented to solve nonlinear Fredholm integral equations in terms of Chebyshev polynomials, we have a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Chebyshev coefficients. The approximate solution of linear and nonlinear generalized Abel integral equation has been studied by using Adomian decomposition method. An efficient numerical method for the solution of sliding contact problems is proposed. Explicit results for the Chebysheve numerical integration scheme for singular integral equations of the second kind with Cauchy kernels are presented.