M Abdelhakem, H Moussa - Alexandria Engineering Journal, 2023 - Elsevier
The pseudo-spectral method is used as a technique to employ the first derivative of the well- known Legendre polynomials (FDLs) as novel basis functions. Then, the FDLs Gauss …
We introduce new differentiation matrices based on the pseudospectral collocation method. Monic Chebyshev polynomials (MCPs) were used as trial functions in differentiation …
H Sweis, OA Arqub, N Shawagfeh - International Journal of Modern …, 2023 - World Scientific
This paper considers linear and nonlinear fractional delay Volterra integrodifferential equation of order ρ in the Atangana–Beleanu–Caputo (ABC) sense. We used continuous …
This paper will present a highly efficient technique for solving linear and nonlinear differential equations. We will use the second derivative of Legendre polynomials as new …
EM Abo-Eldahab, R Adel, HM Mobarak… - Appl Math Inf …, 2021 - naturalspublishing.com
The effects of magnetic field on boundary layer nano-fluid flow over stretching sheet have been investigated. Different factors affecting the nano-fluid's motion and particles have been …
Legendre polynomials' first derivatives have been used as the basis function via the pseudo- Galerkin spectral method. Operational matrices for derivatives have been used and …
The main aim of this paper is to introduce a new class of orthogonal polynomials that generalizes the class of Chebyshev polynomials of the first kind. Some basic properties of …
This paper is devoted to proposing numerical algorithms based on the use of the tau and collocation procedures, two widely used spectral approaches for the numerical treatment of …
M Omri, AH Abdel-Aty, S Abdel-Khalek… - Alexandria Engineering …, 2022 - Elsevier
This article investigates the accuracy of the obtained analytical solutions of the nonlinear fractional Ostrovsky (NLFO.) equation. The researched solutions are obtained by exploiting …