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2010•Unpublished venueRequires access

Legendre Wavelets Method for Nonlinear Fractional Differences Equation

Hou Fengbo, Yongbing Wu, Yiming Chen, Qian Wang

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Legendre wavelet, Legendre polynomials, Associated Legendre polynomials, Legendre's equation, Mathematics, Wavelet, Applied mathematics, Legendre function

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