Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials. - Eid H. Doha; Ali H. Bhrawy (Numer. Algorithms, 2006)

Jacobi spectral Galerkin method for elliptic Neumann problems. - Eid H. Doha; Ali H. Bhrawy; Waleed M. Abd-Elhameed (Numer. Algorithms, 2009)

Jacobi spectral Galerkin method for the integrated forms of second-order differential equations. - Ali H. Bhrawy; S. I. El-Soubhy (Appl. Math. Comput., 2010)

A quadrature tau method for fractional differential equations with variable coefficients. - Ali H. Bhrawy; A. S. Alofi; Samer S. Ezz-Eldien (Appl. Math. Lett., 2011)

Integrals of Bernstein polynomials: An application for the solution of high even-order differential equations. - Eid H. Doha; Ali H. Bhrawy; M. A. Saker (Appl. Math. Lett., 2011)

A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order. - Eid H. Doha; Ali H. Bhrawy; Samer S. Ezz-Eldien (Comput. Math. Appl., 2011)

A Jacobi-Jacobi dual-Petrov-Galerkin method for third- and fifth-order differential equations. - Eid H. Doha; Ali H. Bhrawy; R. M. Hafez (Math. Comput. Model., 2011)

A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals. - Ali H. Bhrawy; Emran Tohidi; Fazlollah Soleymani (Appl. Math. Comput., 2012)

An efficient direct solver for multidimensional elliptic Robin boundary value problems using a Legendre spectral-Galerkin method. - Eid H. Doha; Ali H. Bhrawy (Comput. Math. Appl., 2012)

Numerical computation of the eigenvalues of a discontinuous Dirac system using the sinc method with error analysis. - Mohamed Mahmoud Tharwat; Ali H. Bhrawy; Ahmet Yildirim (Int. J. Comput. Math., 2012)

A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients. - Ali H. Bhrawy (Appl. Math. Comput., 2013)

On shifted Jacobi spectral approximations for solving fractional differential equations. - Eid H. Doha; Ali H. Bhrawy; Dumitru Baleanu; Samer S. Ezz-Eldien (Appl. Math. Comput., 2013)

The operational matrix of fractional integration for shifted Chebyshev polynomials. - Ali H. Bhrawy; A. S. Alofi (Appl. Math. Lett., 2013)

Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method. - Ali H. Bhrawy; Mohamed A. Abdelkawy; Anjan Biswas (Commun. Nonlinear Sci. Numer. Simul., 2013)

Nonlinear periodic solutions for isothermal magnetostatic atmospheres. - A. H. Khater; Dirk K. Callebaut; Ali H. Bhrawy; Mohamed A. Abdelkawy (J. Comput. Appl. Math., 2013)

Numerical computation of eigenvalues of discontinuous Sturm-Liouville problems with parameter dependent boundary conditions using sinc method. - Mohamed Mahmoud Tharwat; Ali H. Bhrawy; Ahmet Yildirim (Numer. Algorithms, 2013)

An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system. - Ali H. Bhrawy (Appl. Math. Comput., 2014)

On Generalized Jacobi-Bernstein Basis Transformation: Application of Multidegree Reduction of Bézier Curves and Surfaces. - Eid H. Doha; Ali H. Bhrawy; M. A. Saker (J. Comput. Inf. Sci. Eng., 2014)

Jacobi-Gauss-Lobatto collocation method for the numerical solution of l+l nonlinear Schrödinger equations. - Eid H. Doha; Ali H. Bhrawy; Mohamed A. Abdelkawy; Robert A. Van Gorder (J. Comput. Phys., 2014)

A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations. - Ali H. Bhrawy; Mohamed A. Abdelkawy (J. Comput. Phys., 2015)

A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. - Ali H. Bhrawy; Eid H. Doha; Dumitru Baleanu; Samer S. Ezz-Eldien (J. Comput. Phys., 2015)

A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations. - Ali H. Bhrawy; Mahmoud A. Zaky (J. Comput. Phys., 2015)

Modified Jacobi-Bernstein basis transformation and its application to multi-degree reduction of Bézier curves. - Ali H. Bhrawy; Eid H. Doha; M. A. Saker; Dumitru Baleanu (J. Comput. Appl. Math., 2016)

A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations. - Ali H. Bhrawy (Numer. Algorithms, 2016)

A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. - Ali H. Bhrawy; Mahmoud A. Zaky; Robert A. Van Gorder (Numer. Algorithms, 2016)

Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations. - Ali H. Bhrawy; Mahmoud A. Zaky (Comput. Math. Appl., 2017)

Solving fractional optimal control problems within a Chebyshev-Legendre operational technique. - Ali H. Bhrawy; Samer S. Ezz-Eldien; Eid H. Doha; Mohamed A. Abdelkawy; Dumitru Baleanu (Int. J. Control, 2017)

Numerical Solution of the Two-Sided Space-Time Fractional Telegraph Equation Via Chebyshev Tau Approximation. - Ali H. Bhrawy; Mahmoud A. Zaky; José António Tenreiro Machado (J. Optim. Theory Appl., 2017)

New Numerical Approach for Fractional Variational Problems Using Shifted Legendre Orthonormal Polynomials. - Samer S. Ezz-Eldien; R. M. Hafez; Ali H. Bhrawy; Dumitru Baleanu; Ahmed A. El-Kalaawy (J. Optim. Theory Appl., 2017)

A new operational approach for solving fractional variational problems depending on indefinite integrals. - Samer S. Ezz-Eldien; Eid H. Doha; Ali H. Bhrawy; Ahmed A. El-Kalaawy; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2018)