Modified numerical methods for solving the multi - dimentional integral equations. +CD

This work is oriented towards two objectives: The first objective is to classify and study the generalized one-dimensional integral equations that contain n one-dimensional integral operators. This study includes the existence of a unique solution for special types of these integral equations and their solutions by using some quadrature methods, namely the trapezoidal rule, the modified trapezoidal rule and Simpson's rule. The second objective is to classify and study the generalized multi-dimensional integral equations that contain n multi-dimensional integral operators. This study includes their solutions by using some quadrature methods, namely the trapezoidal rule, the modified trapezoidal rule and Simpson's rule.