Ali H. Bhrawy
Ali H. Bhrawy
Associate Professor of Numerical Analysis, Mathematics Department, Beni-Suef University, Egypt
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A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
EH Doha, AH Bhrawy, SS Ezzeldeen
Computers and Mathematics with Applications 62, 2364–2373, 2011
A New Jacobi Operational Matrix: An Application For Solving Fractional Differential Equations
EH Doha, AH Bhrawy, SS Ezz-Eldien
Applied Mathematical Modelling 36, 4931–4943, 2012
Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
EH Doha, AH Bhrawy, SS Ezz-Eldien
Applied Mathematical Modelling 35 (12), 5662-5672, 2011
A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
AH Bhrawy, MA Zaky
Journal of Computational Physics 281 (15), 876–895, 2015
Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
AH Bhrawy, MA Zaky
Nonlinear Dynamics 80 (1), 101-116, 2015
A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
E Tohidi, AH Bhrawy, K Erfani
Applied Mathematical Modelling 37, 4283-4294, 2013
The operational matrix of fractional integration for shifted Chebyshev polynomials
AH Bhrawy, AS Alofi
Applied Mathematics Letters 26 (1), 25-31, 2013
A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
AH Bhrawy, EH Doha, D Baleanu, SS Ezz-eldein
Journal of Computational Physics 293, 142-156, 2015
A Review of Operational Matrices and Spectral Techniques for Fractional Calculus
AH Bhrawy, TM Taha, JAT Machado
Nonlinear Dynamics 81, 1023-1052, 2015
An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system
AH Bhrawy
Applied Mathematics and Computations 247, 30–46, 2014
A fully spectral collocation approximation for  multi-dimensional fractional Schrodinger equations
AH Bhrawy, MA Abdelkawy
Journal of Computational Physics 294, 462–483, 2015
An Improved Collocation Method for Multi-dimensional Space-time Variable-Order Fractional Schrodinger Equations
AH Bhrawy, MA Zaky
Applied Numerical Mathematics 111, 197-218, 2017
A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations
AH Bhrawy, AS Alofi
Communications in Nonlinear Science and Numerical Simulation 17, 62–70, 2012
Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations
EH Doha, AH Bhrawy, MA Saker
Applied Mathematics Letters 24 (4), 559-565, 2011
A quadrature tau method for fractional differential equations with variable coefficients
AH Bhrawy, AS Alofi, SS Ezz-Eldien
Applied Mathematics Letters 24 (12), 2146-2152, 2011
Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
EH Doha, AH Bhrawy
Applied Numerical Mathematics 58 (8), 1224-1244, 2008
Bright, dark and singular optical solitons in a cascaded system
Q Zhou, Q Zhu, H Yu, Y Liu, C Wei, P Yao, AH Bhrawy, A Biswas
Laser Physics 25 (2), 025402, 2014
New Numerical Approximations for Space-Time Fractional Burgers' Equations via a Legendre Spectral-Collocation Method
AH Bhrawy, MA Zaky, D Baleanu
Romanian Reports of Physics 67 (2), 340–349, 2015
Cnoidal And Snoidal Wave Solutions To Coupled Nonlinear Wave Equations By The Extended Jacobi's Elliptic Function Method
AH Bhrawy, MA Abdelkawy, A Biswas
Communications in Nonlinear Science and Numerical Simulation 18 (4), 915--925, 2013
A shifted Legendre spectral method for fractional-order multi-point boundary value problems
AH Bhrawy, MM Al-Shomrani
Advances in Difference Equations 2012 (1), 8, 2012
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