A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order EH Doha, AH Bhrawy, SS Ezz-Eldien Computers & Mathematics with Applications 62 (5), 2364-2373, 2011 | 388 | 2011 |
A new Jacobi operational matrix: an application for solving fractional differential equations EH Doha, AH Bhrawy, SS Ezz-Eldien Applied Mathematical Modelling 36 (10), 4931-4943, 2012 | 385 | 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 | 340 | 2011 |
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-Eldien Journal of Computational Physics 293, 142-156, 2015 | 238 | 2015 |
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 | 150 | 2011 |
A new Jacobi rational–Gauss collocation method for numerical solution of generalized pantograph equations EH Doha, AH Bhrawy, D Baleanu, RM Hafez Applied Numerical Mathematics 77, 43-54, 2014 | 138 | 2014 |
Second kind Chebyshev operational matrix algorithm for solving differential equations of Lane–Emden type EH Doha, WM Abd-Elhameed, YH Youssri New Astronomy 23, 113-117, 2013 | 135 | 2013 |
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 | 132 | 2008 |
On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomials EH Doha Journal of Physics A: Mathematical and General 37 (3), 657, 2004 | 117 | 2004 |
A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations AH Bhrawy, EH Doha, SS Ezz-Eldien, MA Abdelkawy Calcolo 53, 1-17, 2016 | 109 | 2016 |
Jacobi–Gauss–Lobatto collocation method for the numerical solution of 1+ 1 nonlinear Schrödinger equations EH Doha, AH Bhrawy, MA Abdelkawy, RA Van Gorder Journal of Computational Physics 261, 244-255, 2014 | 106 | 2014 |
The first and second kind chebyshev coefficients of the moments for the general order derivative on an infinitely differentiable function EH Doha International journal of computer mathematics 51 (1-2), 21-35, 1994 | 102 | 1994 |
Efficient spectral-Galerkin algorithms for direct solution of second-order equations using ultraspherical polynomials EH Doha, WM Abd-Elhameed SIAM Journal on Scientific Computing 24 (2), 548-571, 2002 | 95 | 2002 |
On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations EH Doha, AH Bhrawy, MA Saker Boundary Value Problems 2011, 1-16, 2011 | 91 | 2011 |
On shifted Jacobi spectral approximations for solving fractional differential equations EH Doha, AH Bhrawy, D Baleanu, SS Ezz-Eldien Applied Mathematics and Computation 219 (15), 8042-8056, 2013 | 89 | 2013 |
On shifted Jacobi spectral method for high-order multi-point boundary value problems EH Doha, AH Bhrawy, RM Hafez Communications in Nonlinear Science and Numerical Simulation 17 (10), 3802-3810, 2012 | 89 | 2012 |
An accurate numerical technique for solving fractional optimal control problems AH Bhrawy, EH Doha, D Baleanu, SS Ezz-Eldien, MA Abdelkawy Differ. Equ 15, 23, 2015 | 86 | 2015 |
A Jacobi–Jacobi dual-Petrov–Galerkin method for third-and fifth-order differential equations EH Doha, AH Bhrawy, RM Hafez Mathematical and Computer Modelling 53 (9-10), 1820-1832, 2011 | 86 | 2011 |
The coefficients of differentiated expansions and derivatives of ultraspherical polynomials EH Doha Computers & Mathematics with Applications 21 (2-3), 115-122, 1991 | 81 | 1991 |
A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems SS Ezz-Eldien, EH Doha, D Baleanu, AH Bhrawy Journal of Vibration and Control 23 (1), 16-30, 2017 | 80 | 2017 |