Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions

Document Type : Research Paper


Department of Electrical Engineering‎, ‎Islamshahr Branch‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran.


A numerical method for solving linear integral equations of the second kind is formulated. Based on a special representation of vector forms of triangular functions and the related operational matrix of integration, the integral equation reduces to a linear system of algebraic equations. 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.