Zobrazeno 1 - 10
of 15 744
pro vyhledávání: '"convection-diffusion equation"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17154-17170 (2024)
In this paper, the Lie symmetry analysis was executed for the nonlinear fractional-order conduction-diffusion Buckmaster model (BM), which involves the Riemann-Liouville (R-L) derivative of fractional-order 'β'. In the study of groundwater flow and
Externí odkaz:
https://doaj.org/article/30d127af2186406faf3e5759e48c61e3
Autor:
Li Jin, Cheng Yongling
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 309-316 (2024)
Spectral collocation method, named linear barycentric rational interpolation collocation method (LBRICM), for convection-diffusion (C-D) equation with constant coefficient is considered. We change the discrete linear equations into the matrix equatio
Externí odkaz:
https://doaj.org/article/7c83de62ae9c4b16905171b828e7d343
Publikováno v:
Mathematical and Computer Modelling of Dynamical Systems, Vol 29, Iss 1, Pp 265-285 (2023)
ABSTRACTDue to the high importance of the convection-diffusion equation, we aim to develop a quadratic upwind differencing scheme in the finite volume approach for solving this equation. Our newly developed numerical approach is conditionally stable.
Externí odkaz:
https://doaj.org/article/dddf75190ca14c828071417f8ed22752
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
Autor:
Xiaohua Bi, Huimin Wang
Publikováno v:
Entropy, Vol 26, Iss 9, p 768 (2024)
The space fractional advection–diffusion equation is a crucial type of fractional partial differential equation, widely used for its ability to more accurately describe natural phenomena. Due to the complexity of analytical approaches, this paper f
Externí odkaz:
https://doaj.org/article/e311ffed2e8f4e2dbfade828506891eb
Publikováno v:
Mathematics, Vol 12, Iss 15, p 2402 (2024)
In the article, we propose a combination method based on the multigrid method and constraint data to solve the inverse problem in the context of the nonlinear convection–diffusion equation in the multiphase porous media flow. The inverse problem co
Externí odkaz:
https://doaj.org/article/016ad297781641f38dce77e44df72a0d
Publikováno v:
Fractal and Fractional, Vol 8, Iss 7, p 431 (2024)
This paper applies the spectral Galerkin method to numerically solve Riesz space-fractional convection–diffusion equations. Firstly, spectral Galerkin algorithms were developed for one-dimensional Riesz space-fractional convection–diffusion equat
Externí odkaz:
https://doaj.org/article/f224c52c65fc496b800d5fdcb3a3e29e
Publikováno v:
Comptes Rendus. Mécanique, Vol , Iss , Pp 1-13 (2023)
The present work is a continuation of a paper presented by the two first authors in the proceedings of the “Computational Science for the $21^{\rm st}$ century” conference held in Tours in 1997 honouring the $60^{\rm th}$ birthday of Roland Glowi
Externí odkaz:
https://doaj.org/article/17257b79f6314fc3a17efdd6df35f8b8
Autor:
Jin Li, Yongling Cheng
Publikováno v:
Electronic Research Archive, Vol 31, Iss 7, Pp 4034-4056 (2023)
The time-dependent fractional convection-diffusion (TFCD) equation is solved by the barycentric rational interpolation method (BRIM). Since the fractional derivative is the nonlocal operator, we develop a spectral method to solve the TFCD equation to
Externí odkaz:
https://doaj.org/article/6a8b05c19a1f49ae93faa098ef8cabc9
Publikováno v:
Journal of Taibah University for Science, Vol 17, Iss 1 (2023)
A numerical method for solving one-dimensional (1D) parabolic convection–diffusion equation is provided. We consider the finite difference formulas with five points to obtain a numerical method. The proposed method converts the given equation, doma
Externí odkaz:
https://doaj.org/article/4fc0d05d7dfd46c1b26c0ac317e438b0