The extended Legendre wavelets operational matrix of integration and its applications

Abstract

In this paper, the general operational matrix of integration P based on the extended Legendre wavelets has been developed which generalizes the idea of the operational matrix of integration for µ = 2 given in [30]. A brief procedure for forming this matrix has been discussed. Also, we have solved Bessel differential equation of order zero by using extended Legendre wavelets method for different values of µ, M and k. The results show the better accuracy of the proposed method, which is justified through the illustrative examples.