F. Mirzaee - Department of Mathematics, Faculty of Science, Malayer University, Malayer, ۶۵۷۱۹- ۹۵۸۶۳, Iran.
Seyede Fatemeh Hoseini - Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box ۶۵۷۱۹- ۹۵۸۶۳, Malayer, Iran
Khadijeh Mahdavi Moghadam - Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box ۶۵۷۱۹- ۹۵۸۶۳, Malayer, Iran

In this paper an expansion method, based on twodimensional delta functions (۲D-DFs), is developed to find numerical solutions of two-dimensional linear Fredholm integral equations. The main characteristic behind this method is that this method reduce such problems to a system of algebraic equations. Since this approach does not need integration, all calculations can be easily implemented. Finally, we estimate the error of the method, and present two numerical examples to demonstrate the accuracy of the method.

Two-dimensional delta functions, Operational matrix, Linear Fredholm integral equation