Title of article :
A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations
Author/Authors :
Hatamzadeh-Varmazyar, S. Department of Electrical Engineering - Islamshahr Branch, Islamic Azad University, Tehran, Iran , Masouri, Z. Department of Mathematics - Islamshahr Branch, Islamic Azad University, Tehran, Iran
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.
Keywords :
Iterative method , Operational matrix , Recurrence relation , Triangular functions , Second kind Volterra integral equation
Journal title :
Astroparticle Physics
