Solving real-life BVPs via the second derivative Chebyshev pseudo-Galerkin method

M Gamal, M El-Kady, M Abdelhakem - International Journal of …, 2024 - ideas.repec.org
The aim of this paper is to use the second derivative of Chebyshev polynomials (SDCHPs)
as basis functions for solving linear and nonlinear boundary value problems (BVPs). Then …

[HTML][HTML] MHD 3D nanofluid flow over nonlinearly stretching/shrinking sheet with nonlinear thermal radiation: Novel approximation via Chebyshev polynomials' …

HM Mobarak, EM Abo-Eldahab, R Adel… - Alexandria Engineering …, 2024 - Elsevier
This research work aims to theoretically examine the influence of various factors on the three-
dimensional nanofluid flow. The study includes parameters such as temperature ratio …

Chebyshev polynomial derivative-based spectral tau approach for solving high-order differential equations

M Gamal, MA Zaky, M El-Kady… - Computational and Applied …, 2024 - Springer
In this paper, Chebyshev polynomial derivative-based spectral schemes are constricted for
solving linear and non-linear ordinary differential equations. Linearization relation and some …

A quintic B-spline technique for a system of Lane-Emden equations arising in theoretical physical applications

O Ala'yed, A Qazza, R Saadeh, O Alkhazaleh - 2024 - jdc.jefferson.edu
In the present study, we introduce a collocation approach utilizing quintic B-spline functions
as bases for solving systems of Lane Emden equations which have various applications in …

[引用][C] Spectral Tau Explicit Form for Approximating Solutions to Real-Life IBVPs Using Chebyshev Derivatives

T Alaa-Eldeen, GM Alzabeedy, W Albalawi… - … Journal of Geometric …, 2024 - World Scientific
This paper established a functional design of the spectral Tau method (STM) upon the first
derivatives of Chebyshev polynomials (FDCHPs). A new linearization relation has been …