A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order

• Published in: Computers & mathematics with applications (1987) Vol. 62; no. 5; pp. 2364 - 2373
• Main Authors: Doha, E.H., Bhrawy, A.H., Ezz-Eldien, S.S.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.09.2011
• Subjects: Caputo derivative; Chebyshev approximation; Derivatives; Differential equations; Exact solutions; Fractional differential equations; Mathematical analysis; Mathematical models; Nonlinearity; Operational matrix; Shifted Chebyshev polynomials; Spectral method; Spectral methods; Operational matrix; Spectral method; Fractional differential equations; Caputo derivative; Shifted Chebyshev polynomials

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