Title: Numerical Solution of Fractional Differential Equations by Using Legendre Wavelets
Abstract: Numerical method of ordinary differential equation has had quite perfect theories. Theoretical studies of the numerical method of fractional order differential equation are very little. A numerical method based upon Legendre wavelet approximations for solving linear fractional order differential equations is presented. The properties of fractional integral and Legendre wavelet are presented, utilized to reduce the fractional order differential equations to the solution of Volterra equations. Legendre wavelets are used for solving linear fractional differential equations of the form: Dαy(x)+λy(x)=f(x), 0α1where λ is constant, f(x) is in L2(R) on the interval 0≤x≤1. Finally, illustrative examples are given to clarify the validity of the method.
Publication Year: 2009
Publication Date: 2009-01-01
Language: en
Type: article
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