Efficient Spectral-Galerkin Algorithms for Direct Solution of Second-Order Equations Using Ultraspherical Polynomials. - Eid H. Doha; Waleed M. Abd-Elhameed (SIAM J. Sci. Comput., 2002)

Efficient spectral ultraspherical-dual-Petrov-Galerkin algorithms for the direct solution of (2n + 1)th-order linear differential equations. - Eid H. Doha; Waleed M. Abd-Elhameed (Math. Comput. Simul., 2009)

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

Efficient spectral-Petrov-Galerkin methods for the integrated forms of third- and fifth-order elliptic differential equations using general parameters generalized Jacobi polynomials. - Eid H. Doha; Waleed M. Abd-Elhameed; Youssri Hassan Youssri (Appl. Math. Comput., 2012)

New algorithms for solving high even-order differential equations using third and fourth Chebyshev-Galerkin methods. - Eid H. Doha; Waleed M. Abd-Elhameed; M. A. Bassuony (J. Comput. Phys., 2013)

A Novel Operational Matrix of Caputo Fractional Derivatives of Fibonacci Polynomials: Spectral Solutions of Fractional Differential Equations. - Waleed M. Abd-Elhameed; Youssri Hassan Youssri (Entropy, 2016)

New Results of the Fifth-Kind Orthogonal Chebyshev Polynomials. - Waleed Mohamed Abd-Elhameed; Seraj Omar Alkhamisi (Symmetry, 2021)

New Formulas and Connections Involving Euler Polynomials. - Waleed Mohamed Abd-Elhameed; Amr Kamel Amin (Axioms, 2022)

Novel Identities of Bernoulli Polynomials Involving Closed Forms for Some Definite Integrals. - Waleed Mohamed Abd-Elhameed; Amr Kamel Amin (Symmetry, 2022)

Some Formulas and Recurrences of Certain Orthogonal Polynomials Generalizing Chebyshev Polynomials of the Third-Kind. - Waleed Mohamed Abd-Elhameed; Mohamed Salem Al-Harbi (Symmetry, 2022)

Numerical Contrivance for Kawahara-Type Differential Equations Based on Fifth-Kind Chebyshev Polynomials. - Waleed Mohamed Abd-Elhameed; Seraj Omar Alkhamisi; Amr Kamel Amin; Youssri Hassan Youssri (Symmetry, 2023)

Some Novel Formulas of Lucas Polynomials via Different Approaches. - Waleed Mohamed Abd-Elhameed; Anna Napoli (Symmetry, 2023)

Spectral Treatment of High-Order Emden-Fowler Equations Based on Modified Chebyshev Polynomials. - Waleed Mohamed Abd-Elhameed; Mohamed Salem Al-Harbi; Amr Kamel Amin; Hany M. Ahmed (Axioms, 2023)

New Formulas Involving Fibonacci and Certain Orthogonal Polynomials. - Waleed Mohamed Abd-Elhameed; Hany M. Ahmed; Anna Napoli; Victor Kowalenko (Symmetry, 2023)

Spectral Solutions of Even-Order BVPs Based on New Operational Matrix of Derivatives of Generalized Jacobi Polynomials. - Waleed Mohamed Abd-Elhameed; Badah Mohamed Badah; Amr Kamel Amin; Muhammad Mahmoud Alsuyuti (Symmetry, 2023)

A Tau Approach for Solving Time-Fractional Heat Equation Based on the Shifted Sixth-Kind Chebyshev Polynomials. - Esraa Magdy Abdelghany; Waleed Mohamed Abd-Elhameed; Galal Mahrous Moatimid; Youssri Hassan Youssri; Ahmed Gamal Atta (Symmetry, 2023)

New spectral algorithm for fractional delay pantograph equation using certain orthogonal generalized Chebyshev polynomials. - Waleed M. Abd-Elhameed; Muhammad Mahmoud Alsuyuti (Commun. Nonlinear Sci. Numer. Simul., 2025)