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 | 145 | 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 | 119 | 2018 |
Sixth-Kind Chebyshev Spectral Approach for Solving Fractional Differential Equations WM Abd-Elhameed, YH Youssri International Journal of Nonlinear Sciences and Numerical Simulation 20 (2 …, 2019 | 88 | 2019 |
Generalized Lucas polynomial sequence approach for fractional differential equations WM Abd-Elhameed, YH Youssri Nonlinear Dynamics 89 (2), 1341–1355, 2017 | 83 | 2017 |
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 |
Spectral Solutions for Fractional Differential Equations via a Novel Lucas Operational Matrix of Fractional Derivatives WM Abd-Elhameed, YH Youssri Romanian Journal of Physics 61 (5-6), 795-813, 2016 | 75 | 2016 |
A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley-Torvik equation YH Youssri Advances in Difference Equations 2017, 73, 2017 | 72 | 2017 |
Numerical Spectral Legendre-Galerkin Algorithm for Solving Time Fractional Telegraph Equation YH Youssri, WM Abd-Elhameed Romanian Journal of Physics 63, 107, 2018 | 70 | 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 | 68 | 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 43, 543-554, 2019 | 67 | 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 | 60 | 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 | 59 | 2013 |
Chebyshev collocation treatment of Volterra–Fredholm integral equation with error analysis YH Youssri, RM Hafez Arabian Journal of Mathematics 9 (2), 471–480, 2020 | 55 | 2020 |
Ultraspherical Wavelets Method for Solving Lane-Emden Type Equations YH Youssri, WM Abd-Elhameed, EH Doha Romanian Journal of Physics 60 (9-10), 1298-1314, 2015 | 55 | 2015 |
Spectral collocation approach via normalized shifted Jacobi polynomials for the nonlinear Lane-Emden equation with fractal-fractional derivative YH Youssri, AG Atta Fractal and Fractional 7 (2), 133, 2023 | 54 | 2023 |
Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel AG Atta, YH Youssri Computational and Applied Mathematics 41 (8), 381-319, 2022 | 54 | 2022 |
New ultraspherical wavelets spectral solutions for fractional Riccati differential equations WM Abd-Elhameed, YH Youssri Abstract and applied analysis 2014 (1), 626275, 2014 | 52 | 2014 |
Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations EH Doha, RM Hafez, YH Youssri Computers & Mathematics with Applications 78 (3), 889-904, 2019 | 50 | 2019 |
Two spectral Legendre's derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems M Abdelhakem, YH Youssri Applied Numerical Mathematics 169, 243-255, 2021 | 48 | 2021 |
New Tchebyshev‐Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations WM Abd‐Elhameed, EH Doha, YH Youssri, MA Bassuony Numerical Methods for Partial Differential Equations 32 (6), 1553–1571, 2016 | 48 | 2016 |