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

Subject Areas : International Journal of Industrial Mathematics

S.  Hatamzadeh-Varmazyar ¹ (Department of Electrical Engineering, Islamshahr Branch, Islamic Azad University, Tehran, Iran.)
Z.  Masouri ² (Department of Mathematics, Islamshahr Branch, Islamic Azad University, Tehran, Iran.)

Received: 2017-04-27 Accepted : 2017-10-22 Published : 2018-01-01

Keywords: Triangular functions, Iterative method, Recurrence relation, Second kind Volterra integral equation, Operational matrix,

Abstract :

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.