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 …
New convolved Fibonacci collocation procedure for the Fitzhugh–Nagumo non-linear equation
WM Abd-Elhameed, MS Al-Harbi, AG Atta - Nonlinear Engineering, 2024 - degruyter.com
This article is dedicated to propose a spectral solution for the non-linear Fitzhugh–Nagumo
equation. The proposed solution is expressed as a double sum of basis functions that are …
equation. The proposed solution is expressed as a double sum of basis functions that are …
[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 …
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 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 …