Zobrazeno 1 - 10
of 464
pro vyhledávání: '"lucas polynomials"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 19557-19568 (2024)
This work presents a numerical approach for handling a fractional Lienard equation (FLE) arising in an oscillating circuit. The scheme is based on the Vieta Lucas operational matrix of the fractional Liouville-Caputo derivative and the collocation me
Externí odkaz:
https://doaj.org/article/191062bcd6fc462791e8f68046e67fbf
Autor:
Kaddoura Issam, Mourad Bassam
Publikováno v:
Special Matrices, Vol 12, Iss 1, Pp 149-162 (2024)
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory. This, in turn, gives new closed formulas concerning all sequences of this t
Externí odkaz:
https://doaj.org/article/c4f66650048d447fa8f786f3cf44bcd3
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100770- (2024)
This study is focused on the hyperbolic partial differential equations (HPDEs) to obtain their numerical solution. Here, the Vieta–Lucas Tau operational approach (VLTM) is proposed and utilized to solve the initial value problems related to HPDEs.
Externí odkaz:
https://doaj.org/article/da225d31d5a0407f8a2f5dc17bd17581
Autor:
Yılmaz Nazmıye
Publikováno v:
Mathematica Moravica, Vol 28, Iss 1, Pp 97-108 (2024)
In this paper, new identities are obtained by using the generalized bivariate Fibonacci and Lucas polynomials. Firstly, several binomial summations and the closed formulas for summation of powers are investigated for these polynomials. Also, general
Externí odkaz:
https://doaj.org/article/d5bd78b05a7b4ab4a5ff33d1dae7d5fc
Autor:
Noor Alam, Shahid Ahmad Wani, Waseem Ahmad Khan, Ketan Kotecha, Hasan Nihal Zaidi, Fakhredine Gassem, Anas Altaleb
Publikováno v:
Symmetry, Vol 16, Iss 11, p 1415 (2024)
This paper offers a thorough examination of a unified class of Humbert’s polynomials in two variables, extending beyond well-known polynomial families such as Gegenbauer, Humbert, Legendre, Chebyshev, Pincherle, Horadam, Kinnsy, Horadam–Pethe, Dj
Externí odkaz:
https://doaj.org/article/bb5f560e03524263a21d8accdeaddf69
Autor:
Ebimene James Mamadu, Henrietta Ify Ojarikre, Simon Ajiroghene Ogumeyo, Daniel Chinedu Iweobodo, Ebikonbo-Owei Anthony Mamadu, Jonathan Tsetimi, Ignatius Nkonyeasua Njoseh
Publikováno v:
Scientific African, Vol 24, Iss , Pp e02170- (2024)
We proposed a Least Squares Finite Element Method (LSFEM) for the approximate solution of Time fractional telegraph equation (TFTE). The method implemented the Vieta-Lucas polynomials expressed in the Caputo fractional sense as basis functions. The L
Externí odkaz:
https://doaj.org/article/3bb83ed2f72a46c6ae558bcc0e06285c
Publikováno v:
Proceedings of the Nigerian Society of Physical Sciences, Vol 1, Iss 1 (2024)
In this study, the numerical solution of the Volterra-integro differential equations was obtained by applying the variational iteration strategy with the shifted Vieta-Lucas polynomials. The proposed method builds the shifted Vieta-Lucas polynomials
Externí odkaz:
https://doaj.org/article/749a8fc9f2484c8ea4e3c15649155546
Autor:
M. Askari
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 13, Iss Issue 4, Pp 695-710 (2023)
The aim of this article is to present a new method based on Lucas poly-nomials and residual error function for a numerical solution of fractional Bagley–Torvik equations. Here, the approximate solution is expanded as a linear combination of Lucas p
Externí odkaz:
https://doaj.org/article/3a392c6a611e4597b060e54238939bac
Autor:
Ahmed F. S. Aboubakr, Gamal M. Ismail, Mohamed M. Khader, Mahmoud A. E. Abdelrahman, Ahmed M. T. AbdEl-Bar, Mohamed Adel
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 30704-30716 (2023)
The article aimed to develop an accurate approximation of the fractional derivative with a non-singular kernel (the Rabotnov fractional-exponential formula), and show how to use it to solve numerically the blood ethanol concentration system. This mod
Externí odkaz:
https://doaj.org/article/acc05d114c3e480b947ead2e814f19c8
Publikováno v:
Alexandria Engineering Journal, Vol 82, Iss , Pp 426-436 (2023)
In this paper, we propose an effective numerical method to solve the one- and two-dimensional time-fractional convection-diffusion equations based on the Caputo derivative. The presented approach employs a hybrid method that combines Lucas and Fibona
Externí odkaz:
https://doaj.org/article/4142fe8698d04b4eb5124a4d4fba6b5f