Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations AG Atta, WM Abd-Elhameed, GM Moatimid, YH Youssri Applied Numerical Mathematics 167, 237-256, 2021 | 40 | 2021 |
Generalized Fibonacci operational collocation approach for fractional initial value problems AG Atta, GM Moatimid, YH Youssri International Journal of Applied and Computational Mathematics 5, 1-11, 2019 | 40 | 2019 |
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 | 39 | 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, 2022 | 37 | 2022 |
Generalized Fibonacci Operational tau Algorithm for Fractional Bagley-Torvik Equation AG Atta, GM Moatimid, YH Youssri Progress in Fractional Differentiation and Applications 6 (3), 215-224, 2020 | 30 | 2020 |
Shifted fifth-kind Chebyshev polynomials Galerkin-based procedure for treating fractional diffusion-wave equation AG Atta, WM Abd-Elhameed, YH Youssri International Journal of Modern Physics C 33 (08), 2250102, 2022 | 23 | 2022 |
Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem AG Atta, WM Abd-Elhameed, GM Moatimid, YH Youssri Mathematical Sciences 17 (4), 415-429, 2023 | 21 | 2023 |
A fast Galerkin approach for solving the fractional Rayleigh–Stokes problem via sixth-kind Chebyshev polynomials AG Atta, WM Abd-Elhameed, GM Moatimid, YH Youssri Mathematics 10 (11), 1843, 2022 | 18 | 2022 |
Explicit Chebyshev–Galerkin scheme for the time-fractional diffusion equation M Moustafa, YÂH Youssri, AÂG Atta International Journal of Modern Physics C (IJMPC) 35 (01), 1-15, 2024 | 14 | 2024 |
Petrov-Galerkin Lucas polynomials procedure for the time-fractional diffusion equation YH Youssri, AG Atta Contemporary Mathematics, 230-248, 2023 | 14 | 2023 |
A tau approach for solving time-fractional heat equation based on the shifted sixth-kind Chebyshev polynomials EM Abdelghany, WM Abd-Elhameed, GM Moatimid, YH Youssri, AG Atta Symmetry 15 (3), 594, 2023 | 13 | 2023 |
Spectral Galerkin treatment of linear one-dimensional telegraph type problem via the generalized Lucas polynomials YH Youssri, WM Abd-Elhameed, AG Atta Arabian Journal of Mathematics 11 (3), 601-615, 2022 | 13 | 2022 |
Eighth-kind Chebyshev polynomials collocation algorithm for the nonlinear time-fractional generalized Kawahara equation WM Abd-Elhameed, YH Youssri, AK Amin, AG Atta Fractal and Fractional 7 (9), 652, 2023 | 12 | 2023 |
Modal shifted fifth-kind Chebyshev tau integral approach for solving heat conduction equation AG Atta, WM Abd-Elhameed, GM Moatimid, YH Youssri Fractal and Fractional 6 (11), 619, 2022 | 12 | 2022 |
Novel spectral schemes to fractional problems with nonsmooth solutions AG Atta, WM Abd‐Elhameed, GM Moatimid, YH Youssri Mathematical Methods in the Applied Sciences, 2023 | 10 | 2023 |
Explicit Chebyshev Petrov–Galerkin scheme for time-fractional fourth-order uniform Euler–Bernoulli pinned–pinned beam equation M Moustafa, YH Youssri, AG Atta Nonlinear Engineering 12 (1), 20220308, 2023 | 9 | 2023 |
Chebyshev Petrov-Galerkin procedure for the time-fractional heat equation with nonlocal conditions YH Youssri, MI Ismail, AG Atta Physica Scripta 99 (1), 015251, 2023 | 8 | 2023 |
Jacobi rational operational approach for time-fractional sub-diffusion equation on a semi-infinite domain RM Hafez, YH Youssri, AG Atta Contemporary Mathematics, 853-876, 2023 | 8 | 2023 |
Modal spectral Tchebyshev Petrov–Galerkin stratagem for the time-fractional nonlinear Burgers’ equation YH Youssri, AG Atta Iranian Journal of Numerical Analysis and Optimization 14 (1), 172-199, 2024 | 7 | 2024 |
Double Tchebyshev spectral tau algorithm for solving KdV equation, with soliton application YH Youssri, AG Atta Encyclopedia of Complexity and Systems Science, 2022 | 7 | 2022 |