Legendre Wavelet Method for Systems of Volterra Integral Equations

Abstract

In this paper, a numerical method based on Legendre wavelets has been presented to solve the systems of Volterra integral equations. The Legendre wavelets approximation and Gauss integration formula transforms the given problem to a system of algebraic equations. Then we solve this system of equations by Newton’s method to find the unknown coefficients. The proposed method is illustrated by some numerical examples. Comparative error analysis has also been presented.