Zobrazeno 1 - 10
of 774
pro vyhledávání: '"Time-fractional diffusion equation"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 26671-26687 (2024)
In this study, we proposed a normalized time-fractional diffusion equation and conducted a numerical investigation of the dynamics of the proposed equation. We discretized the governing equation by using a finite difference method. The proposed norma
Externí odkaz:
https://doaj.org/article/853e55a788024eca8c86b747ae160e0c
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-32 (2024)
Abstract In this article, a new numerical algorithm for solving a 1-dimensional (1D) and 2-dimensional (2D) time-fractional diffusion equation is proposed. The Sinc-Galerkin scheme is considered for spatial discretization, and a higher-order finite d
Externí odkaz:
https://doaj.org/article/7789c4bd35bb4147b4aa97f1904a6ead
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 14697-14730 (2024)
The 1D and 2D spatial compact finite difference schemes (CFDSs) for time-fractional diffusion equations (TFDEs) were presented in this article with uniform temporal convergence order. Based on the idea of the modified block-by-block method, the CFDSs
Externí odkaz:
https://doaj.org/article/bb84728f06db49f791f0b5bbf1af2e5a
Autor:
Georgios Michas, Filippos Vallianatos
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-11 (2024)
Abstract The spatiotemporal evolution of earthquakes induced by fluid injections into the subsurface can be erratic owing to the complexity of the physical process. To effectively mitigate the associated hazard and to draft appropriate regulatory str
Externí odkaz:
https://doaj.org/article/86a2d2622e4a4d7480da9b71c5230322
Autor:
Bin Fan
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 7293-7320 (2024)
In this paper, we consider a numerical method for the multi-term Caputo-Fabrizio time-fractional diffusion equations (with orders $ \alpha_i\in(0, 1) $, $ i = 1, 2, \cdots, n $). The proposed method employs a fast finite difference scheme to approxim
Externí odkaz:
https://doaj.org/article/4c904d45d3734d55bd4461e1279a553a
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 199-204 (2023)
This article is concerned with semilinear time-fractional diffusion equations with polynomial nonlinearity up{u}^{p} in a bounded domain Ω\Omega with the homogeneous Neumann boundary condition and positive initial values. In the case of p>1p\gt 1, w
Externí odkaz:
https://doaj.org/article/7dfcd5777e6b4be385c64044a4724b10
Autor:
Takefumi Igarashi
Publikováno v:
Mathematics, Vol 12, Iss 18, p 2895 (2024)
In this paper, we consider the Cauchy problem of a time-fractional nonlinear diffusion equation. According to Kaplan’s first eigenvalue method, we first prove the blow-up of the solutions in finite time under some sufficient conditions. We next pro
Externí odkaz:
https://doaj.org/article/9ed8096acf6f4dc3ac2df7551e0881d1
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 8, Iss 2, Pp 1051-1062 (2023)
Chebyshev collocation scheme and Finite difference method plays central roles for solving fractional differential equations (FDE). Therefore purpose of this paper is to solve fractional mathematical problem of diffusion by Chebyshev collocation metho
Externí odkaz:
https://doaj.org/article/92a04c73f344435fb4913d8cccbe64e6
Publikováno v:
Mathematical Modelling and Analysis, Vol 29, Iss 2 (2024)
In this paper, the problem we investigate is to simultaneously identify the source term and initial value of the time fractional diffusion equation. This problem is ill-posed, i.e., the solution (if exists) does not depend on the measurable data. We
Externí odkaz:
https://doaj.org/article/050270beb2af489d92fcb558a4de650d
Autor:
Belal Batiha
Publikováno v:
Computation, Vol 12, Iss 4, p 79 (2024)
This article introduces an extension of classical fuzzy partial differential equations, known as fuzzy fractional partial differential equations. These equations provide a better explanation for certain phenomena. We focus on solving the fuzzy time d
Externí odkaz:
https://doaj.org/article/0a2c86726b4549deaba9063ad6e79b84