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Zbl 1222.65063
Ur Rehman, Mujeeb; Ali Khan, Rahmat
The Legendre wavelet method for solving fractional differential equations. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4163-4173 (2011). ISSN 1007-5704

Summary: Fractional differential equations are solved using the Legendre wavelets. An operational matrix of fractional order integration is derived and is utilized to reduce the fractional differential equations to system of algebraic equations. The illustrative examples are provided to demonstrate the applicability, simplicity of the numerical scheme based on the Legendre wavelets.

MSC 2000:: *65L05 Initial value problems for ODE (numerical methods)
65L10 Boundary value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general
34B15 Nonlinear boundary value problems of ODE
34A08

Keywords: fractional differential equations; operational matrices; Legendre wavelets; numerical examples; initial value problems; boundary value problems

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