Zobrazeno 1 - 10
of 22 390
pro vyhledávání: '"Collocation Method"'
Publikováno v:
Propulsion and Power Research, Vol 13, Iss 4, Pp 523-533 (2024)
Heat pipes are crucial in a wide range of applications, ranging from space satellites and industrial systems to electronic cooling and X-ray tube thermal management. This study introduces a method investigation into vapor flows within a flat plate he
Externí odkaz:
https://doaj.org/article/b9e86321a06145bcbbf55bfb34012f4e
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 4, Pp 1069-1105 (2024)
A class of linear and nonlinear fractional differential equations (FDEs) in the Caputo sense is considered and studied through two novel techniques called the Homotopy analysis method (HAM). A reliable approach is proposed for solving fractional orde
Externí odkaz:
https://doaj.org/article/4137001ae4d3484889a24ce559c11777
Autor:
O.V. Germider, V. N. Popov
Publikováno v:
Известия Иркутского государственного университета: Серия "Математика", Vol 50, Iss 1, Pp 19-35 (2024)
The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integ
Externí odkaz:
https://doaj.org/article/5394b04fbd8c46ac8075a5930666dabc
Publikováno v:
Alexandria Engineering Journal, Vol 109, Iss , Pp 29-40 (2024)
In this article, we propose a new class of nonlinear fractional differential equations of diabetes disease based on the concept of Caputo fractional derivative. Two numerical techniques are introduced to analyze the solution of the general fractional
Externí odkaz:
https://doaj.org/article/e80e9c77557c4b03a7abded3699f3d70
Publikováno v:
Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 154-164 (2024)
In this paper, we present two collocation methods utilizing subdivision schemes and Bernstein polynomials as their basis functions to solve Caputo-type fractional differential equations. These methods transform fractional differential equations into
Externí odkaz:
https://doaj.org/article/075894d7ab7646fba71ef185f7f87539
Publikováno v:
International Journal of Numerical Methods for Heat & Fluid Flow, 2024, Vol. 34, Issue 9, pp. 3493-3514.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/HFF-01-2024-0020
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-14 (2024)
Abstract This paper presents a novel numerical approach for approximating the solution of the model describing the infection of $$CD4^+T$$ C D 4 + T -cells by the human T-cell lymphotropic virus I (HTLV-I).The proposed method utilizes the operational
Externí odkaz:
https://doaj.org/article/74653b2a542945ada23bc8467ab9550c
Autor:
H. M. Ahmed
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-23 (2024)
Abstract The present paper investigates a new method for computationally solving the time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) with initial boundary conditions (IBCs). The method utilizes a set of generalized shifted Jacobi pol
Externí odkaz:
https://doaj.org/article/c7d2871b19f84a53a57332fa841957e0