numerical solution of second kind volterra and fredholm integral equations based on a direct method via triangular functions

A numerical method for solving linear volterra and fredholm integral equations of the second kind is formulated. based on a special representation of vector forms of triangular functions (tfs) and the related operational matrix of integration, the integral equation reduces to a linear system of algebraic equations. the generation of this system needs no integration, so all calculations can easily be implemented. numerical results for some examples show that the method has a good accuracy.