In this paper we prove convergence of the method of successive approximations used to approximate the solution of nonlinear two-dimensional Volterra-Fredholm integral equations and define the notion of numerical stability of the algorithm with respect to the choice of the first iteration. Also we present an iterative procedure to solve such equations. Finally, the method is illustrated by solving some examples.
Ebadian, Ali; Farahrooz, Foroozan; and Khajehnasiri, Amirahmad
On the convergence of two-dimensional fuzzy Volterra-Fredholm integral equations by using Picard method,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
2, Article 6.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss2/6