Zobrazeno 1 - 10
of 466
pro vyhledávání: '"Vieta"'
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 4, Pp 1224-1246 (2024)
The fractional Lane–Emden model illustrates different phenomena in astrophysics and mathematical physics. This paper involves the Vieta–Lucas (Vt-L) bases to solve types of variable-order (V-O) fractional Lane–Emden equation (linear and nonline
Externí odkaz:
https://doaj.org/article/21398434907148609890441e917a8d4c
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100995- (2024)
In this article, we investigate the dynamics of a fractional-order SEIR epidemic model with special emphasis on the vaccination of newborns. By incorporating vaccination directly into the SEIR framework, newborns bypass the susceptible stage and ente
Externí odkaz:
https://doaj.org/article/e156126e360341f5b70d12e2193e4b2f
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
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:
Mohammad Izadi, Abdon Atangana
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-19 (2024)
Abstract The subject of the article is devoted to the development of a matrix collocation technique based upon the combination of the fractional-order shifted Vieta–Lucas functions (FSVLFs) and the quasilinearization method (QLM) for the numerical
Externí odkaz:
https://doaj.org/article/d0d5b5fe1a204af2a8389faeb0b24faa
Publikováno v:
Journal of Advanced Research, Vol 49, Iss , Pp 175-190 (2023)
Introduction: Recently, a new family of fractional derivatives called the piecewise fractional derivatives has been introduced, arguing that for some problems, each of the classical fractional derivatives may not be able to provide an accurate statem
Externí odkaz:
https://doaj.org/article/0b3503c4eb9340f6803b43988706bbae
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:
Sivalingam S M, Pushpendra Kumar, V. Govindaraj, Raed Ali Qahiti, Waleed Hamali, Zico Meetei Mutum
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 5, Pp 102678- (2024)
This study developed and examined a new operational matrix approach utilizing the Vieta-Fibonacci polynomial for the numerical solution of generalized Caputo-type differential equations with fractal-fractional terms. Based on the proposed approach, t
Externí odkaz:
https://doaj.org/article/c7171a9ee69d4d6496b420d6e438ef39
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