Fully Jacobi–Galerkin algorithm for two-dimensional time-dependent PDEs arising in physics
RÂM Hafez, YÂH Youssri - … Journal of Modern Physics C (IJMPC), 2024 - ideas.repec.org
Herein, a pure shifted Jacobi–Galerkin (SJG) method is offered for handling linear two-
dimensional space-time diffusion and telegraph equations but by considering their …
dimensional space-time diffusion and telegraph equations but by considering their …
[HTML][HTML] Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs
Herein, new orthogonal polynomials have been generated from shifted Chebyshev
polynomials that fulfill a given set of homogeneous boundary conditions and the necessary …
polynomials that fulfill a given set of homogeneous boundary conditions and the necessary …
[PDF][PDF] Mixed Chebyshev and Legendre polynomials differentiation matrices for solving initial-boundary value problems
A new form of basis functions structures has been constructed. These basis functions
constitute a mix of Chebyshev polynomials and Legendre polynomials. The main purpose of …
constitute a mix of Chebyshev polynomials and Legendre polynomials. The main purpose of …
[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 …
dimensional nanofluid flow. The study includes parameters such as temperature ratio …
Solving real-life BVPs via the second derivative Chebyshev pseudo-Galerkin method
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 …
as basis functions for solving linear and nonlinear boundary value problems (BVPs). Then …
A reliable neural network procedure for the novel sixth-order nonlinear singular pantograph differential model
An innovative singular nonlinear sixth-order (SNSO) pantograph differential model (PDM),
known as the SNSO-PDM, is the subject of this novel study along with its numerical …
known as the SNSO-PDM, is the subject of this novel study along with its numerical …
A quintic B-spline technique for a system of Lane-Emden equations arising in theoretical physical applications
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 …
as bases for solving systems of Lane Emden equations which have various applications in …
[引用][C] The computational orthogonal shifted Legendre–Galerkin approach for handling fractional delay differential problems via adapting fractional M-derivative
H Sweis, OA Arqub - International Journal of Modern Physics C, 2024 - World Scientific
This paper presents a numerical procedure for handling delay fractional differential
problems where the derivative is defined using the M-fractional approach. The proposed …
problems where the derivative is defined using the M-fractional approach. The proposed …
[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 …
derivatives of Chebyshev polynomials (FDCHPs). A new linearization relation has been …