Projection-iteration Method for Solving Nonlinear Integral Equation of Mixed Type
نویسندگان
چکیده
In this paper, the existence of a unique solution of Volterra-Hammerstein integral equation of the second kind (VHIESK) is proved by using Banach fixed point theorem (BFPT) in the space ] , 0 [ ) ( 2 T C L , where represents the domain of integration of the variable space and T is the time. Then, different kinds of projectioniteration methods (PIMs) for solving this integral equation in the space ] , 0 [ ) ( 2 T C L are introduced. Finally, we deduced that: this method is quick convergent and the estimating error is better than the approximate error in the method of successive approximation for solving the integral equation numerically.
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