A modification in successive approximation method for solving nonlinear Volterra Hammerstein integral equations of the second kind

shahnam javadi


This paper presents a modification  to successive approximation method by using projection operator to solve nonlinear Volterra-Hammerstein integral equations of the second kind. In this paper it is proved that under some conditions the iterated solutions converge to the exact solution.
Applicability of the modification method has been shown with many numerical examples. Comparisons with some other methods are also addressed which highlights superiority of the method.


Nonlinear Hammerstein integral equations, Successive approximation method, Projection operator, Shifted Legendre polynomials

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