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Browsing by Author "E. H., Doha"

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

E. H., Doha; A. H., Bhrawy; S. S., Ezz-Eldien (PERGAMON-ELSEVIER SCIENCE LTD, 2011)

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 ...
Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations

E. H., Doha; A. H., Bhrawy; S. S., Ezz-Eldien (ELSEVIER SCIENCE INC, 2011)

In this paper, we state and prove a new formula expressing explicitly the derivatives of shifted Chebyshev polynomials of any degree and for any fractional-order in terms of shifted Chebyshev polynomials themselves. We ...
A new Jacobi operational matrix: An application for solving fractional differential equations

E. H., Doha; A. H., Bhrawy; S. S., Ezz-Eldien (ELSEVIER SCIENCE INC, 2012)

In this paper, we derived the shifted Jacobi operational matrix (JOM) of fractional derivatives which is applied together with spectral tau method for numerical solution of general linear multi-term fractional differential ...
A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations

Bhrawy, A. H.; E. H., Doha; Baleanu, D; Ezz-Eldien, S. S. (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2015)

In this paper, an efficient and accurate spectral numerical method is presented for solving second-, fourth-order fractional diffusion-wave equations and fractional wave equations with damping. The proposed method is based ...

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