A Chebyshev Spectral Method Based on Operational Matrix for Initial and Boundary Value Problems of Fractional Order

Citation:
Doha, E. H., A. H. Bhrawy, and E. S. S. Eldien, "A Chebyshev Spectral Method Based on Operational Matrix for Initial and Boundary Value Problems of Fractional Order", Computers and Mathematics with Applications, vol. 62, pp. 2364-2373, 2011.

Abstract:

We are concerned with linear and nonlinear multi-term fractional differential equations (FDEs). The shifted Chebyshev operational matrix (COM) of fractional derivatives is derivedand used together with spectral methods for solving FDEs. Our approach was based on theshifted Chebyshev tau and collocation methods.

Notes:

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