A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations

Iranian Journal of Numerical Analysis and Optimization

مقاله 5، دوره 4، شماره 1 - شماره پیاپی 5، مرداد 2014، صفحه 95-104   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v4i1.34849

نویسندگان

A. H. Borzabadi^* ؛ M. Heidari

School of Mathematics and Computer Science, Damghan University, Damghan, Iran.

چکیده

In this paper, an iterative scheme for extracting approximate solutions of two dimensional Volterra-Fredholm integral equations is proposed. Considering some conditions on the kernel of the integral equation obtained by discretization of the integral equation, the convergence of the approximate solution to the exact solution is investigated. Several examples are provided to demonstrate the effciency of the approach.

کلیدواژه‌ها

Volterra-Fredholm integral equation؛ Iterative method؛ Dis- cretization؛ Approximation

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