Open Access
2012 Wavelet Collocation Method for Solving Multiorder Fractional Differential Equations
M. H. Heydari, M. R. Hooshmandasl, F. M. Maalek Ghaini, F. Mohammadi
J. Appl. Math. 2012: 1-19 (2012). DOI: 10.1155/2012/542401


The operational matrices of fractional-order integration for the Legendre and Chebyshev wavelets are derived. Block pulse functions and collocation method are employed to derive a general procedure for forming these matrices for both the Legendre and the Chebyshev wavelets. Then numerical methods based on wavelet expansion and these operational matrices are proposed. In this proposed method, by a change of variables, the multiorder fractional differential equations (MOFDEs) with nonhomogeneous initial conditions are transformed to the MOFDEs with homogeneous initial conditions to obtain suitable numerical solution of these problems. Numerical examples are provided to demonstrate the applicability and simplicity of the numerical scheme based on the Legendre and Chebyshev wavelets.


Download Citation

M. H. Heydari. M. R. Hooshmandasl. F. M. Maalek Ghaini. F. Mohammadi. "Wavelet Collocation Method for Solving Multiorder Fractional Differential Equations." J. Appl. Math. 2012 1 - 19, 2012.


Published: 2012
First available in Project Euclid: 17 October 2012

zbMATH: 1235.42034
MathSciNet: MR2880825
Digital Object Identifier: 10.1155/2012/542401

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
Back to Top