A new Legendre wavelets decomposition method for solving PDEs

Naima Ablaoui-Lahmara, Omar Belhamitib,* and Sidi Mohammed Bahric

A new Legendre wavelets decomposition method for solving PDEs

Authors :

Naima Ablaoui-Lahmar^a, Omar Belhamiti^b,* and Sidi Mohammed Bahri^c

Author Address :

^a,b,cDepartment of Mathematics and Computer Science, Abdelhamid Ibn Badis University, Mostaganem 27000, Algeria.

*Corresponding author.

Abstract :

In this paper, we present a novel technique based on the Legendre wavelets decomposition. The properties of Legendre wavelets are used to reduces the PDEs problem into the solution of ODEs system. To illustrate our results, two examples are studied using a special software package which implements the proposed algorithms.

Keywords :

Legendre Wavelets, Legendre Polynomials, Operational Matrix of integration, Telegraph Equation.

DOI :

Article Info :

Received : October 11, 2013; Accepted : December 21, 2013.