Title :
Legendre Wavelets Method for Nonlinear Fractional Differences Equation
Author :
Hou, Fengbo ; Wu, Yongbing ; Chen, Yiming ; Wang, Qian
Author_Institution :
Sch. of Phys. & Optoelectron. Technol., Fujian Normal Univ., Fuzhou, China
Abstract :
In this paper we consider a kind of polynomials-Legendre polynomials then we get Legendre wavelet. Legendre wavelet operational matrix of the fractional integration is derived and combined the property of operational matrix to solve nonlinear fractional differential equations, we give some example and the numerical example shows that the method is effective.
Keywords :
Legendre polynomials; difference equations; nonlinear differential equations; wavelet transforms; Legendre polynomials; Legendre wavelet operational matrix; Legendre wavelets method; nonlinear fractional differences equation; Approximation methods; Differential equations; Educational institutions; Fractional calculus; Polynomials; Wavelet analysis; Legendre polynomials; fractional differential equations; nonlinear; numerical solution; wavelet;
Conference_Titel :
Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce & Its Applications and Embedded Systems (CDEE), 2010 First ACIS International Symposium on
Conference_Location :
Qinhuangdao
Print_ISBN :
978-1-4244-9595-5
DOI :
10.1109/CDEE.2010.20
