A numerical method for solving a class of functional and two dimensional integral equations

摘要

In this paper, the Chebyshev collocation method has been used to solve the functional integral equation of the first and second kind. Also the numerical solution of the two dimensional Fredholm–Volterra integral equations (F–VIE) of the second kind is considered. The Chebyshev collocation method transforms any integral equation into a system of linear algebraic equations. In this method the Chebyshev expansion coefficients of the solution is obtained. Finally some examples show the accuracy of this method.