Developing an iterative method to solve two- and three-dimensional mixed Volterra-Fredholm integral equations

Jafar Khazaeian, Noradin Parandin, Farajollah Yaghobi, Nasrin Karamikabir

Abstract


An iterative method is extended to solve nonlinear two-
and three-dimensional mixed Volterra-Fredholm integral equations. We
consider the nonlinear operator form of these integral equations and
then develop the iterative method of Daftardar-Gejji and Jafari [3] to
solve them. Convergence property of the suggested schemes are proved
under some mild assumptions. In both cases, some numerical examples
are given to compare the performance of the proposed method with the
existing methods.

Keywords


Nonlinear mixed Volterra-Fredholm integral equations, Iterative method, Banach xed point theorem, Numerical solution.

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