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 | 134 | 2013 |
Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations WM Abd-Elhameed, YH Youssri Computational and Applied Mathematics 37 (3), 2897–2921, 2018 | 112 | 2018 |
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 |
Generalized Lucas polynomial sequence approach for fractional differential equations WM Abd-Elhameed, YH Youssri Nonlinear Dynamics, 1-15, 2017 | 80 | 2017 |
Sixth-Kind Chebyshev Spectral Approach for Solving Fractional Differential Equations WM Abd-Elhameed, YH Youssri International Journal of Nonlinear Sciences and Numerical Simulation, 2019 | 78 | 2019 |
Efficient spectral-Petrov-Galerkin methods for third-and fifth-order differential equations using general parameters generalized Jacobi polynomials WM Abd-Elhameed, EH Doha, YH Youssri Quaestiones Mathematicae 36 (1), 15-38, 2013 | 76 | 2013 |
New algorithms for solving high even-order differential equations using third and fourth Chebyshev–Galerkin methods EH Doha, WM Abd-Elhameed, MA Bassuony Journal of Computational Physics 236, 563-579, 2013 | 73 | 2013 |
Spectral solutions for fractional differential equations via a novel Lucas operational matrix of fractional derivatives WM Abd-Elhameed, YH Youssri Rom. J. Phys 61 (5-6), 795-813, 2016 | 71 | 2016 |
NUMERICAL SPECTRAL LEGENDRE-GALERKIN ALGORITHM FOR SOLVING TIME FRACTIONAL TELEGRAPH EQUATION 2 YH YOUSSRI, WM ABD-ELHAMEED | 69 | 2018 |
New Spectral Second Kind Chebyshev Wavelets Algorithm for Solving Linear and Nonlinear Second‐Order Differential Equations Involving Singular and Bratu Type Equations WM Abd-Elhameed, EH Doha, YH Youssri Abstract and Applied Analysis 2013 (1), 715756, 2013 | 65 | 2013 |
Spectral Tau Algorithm for Certain Coupled System of Fractional Differential Equations via Generalized Fibonacci Polynomial Sequence WM Abd-Elhameed, YH Youssri Iranian Journal of Science and Technology, Transactions A: Science, 1-12, 2019 | 62 | 2019 |
A novel operational matrix of Caputo fractional derivatives of Fibonacci polynomials: spectral solutions of fractional differential equations WM Abd-Elhameed, YH Youssri Entropy 18 (10), 345, 2016 | 59 | 2016 |
New Wavelets Collocation Method for Solving Second‐Order Multipoint Boundary Value Problems Using Chebyshev Polynomials of Third and Fourth Kinds WM Abd-Elhameed, EH Doha, YH Youssri Abstract and Applied Analysis 2013 (1), 542839, 2013 | 58 | 2013 |
Efficient spectral ultraspherical-dual-Petrov–Galerkin algorithms for the direct solution of (2n+ 1) th-order linear differential equations EH Doha, WM Abd-Elhameed Mathematics and Computers in Simulation 79 (11), 3221-3242, 2009 | 55 | 2009 |
Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations EH Doha, WM Abd-Elhameed, AH Bhrawy Applied Mathematical Modelling 33 (4), 1982-1996, 2009 | 54 | 2009 |
On the coefficients of integrated expansions and integrals of Chebyshev polynomials of third and fourth kinds EH Doha, WM Abd-Elhameed Bull. Malays. Math. Sci. Soc 37 (2), 383-398, 2014 | 52 | 2014 |
On the coefficients of differentiated expansions and derivatives of Chebyshev polynomials of the third and fourth kinds WM ABD-ELHAMEED, MA BASSUONY Acta Mathematica Scientia 35 (2), 326-338, 2015 | 51 | 2015 |
New ultraspherical wavelets spectral solutions for fractional Riccati differential equations WM Abd-Elhameed, YH Youssri Abstract and applied analysis 2014 (1), 626275, 2014 | 51 | 2014 |
Novel expressions for the derivatives of sixth kind Chebyshev polynomials: Spectral solution of the non-linear one-dimensional Burgers’ equation WM Abd-Elhameed Fractal and Fractional 5 (2), 53, 2021 | 50 | 2021 |
Ultraspherical Wavelets Method for Solving Lane-Emden Type Equations YH Youssri, WM Abd-Elhameed, EH Doha Romanian Journal of Physics, 2015 | 47 | 2015 |