A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations

Document Type : Research Paper


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

2 Department of Mathematics, Islamshahr Branch, Islamic Azad University, Tehran, Iran.


This article proposes a fast and accurate expansion-iterative method for solving second kind linear Volterra integral equations. The method is based on a special representation of vector forms of triangular functions (TFs) and their operational matrix of integration. By using this approach, solving the integral equation reduces to solve a recurrence relation. The approximate solution of integral equation is iteratively produced via the recurrence relation.