Zobrazeno 1 - 10
of 822
pro vyhledávání: '"Diffusion-wave equation"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 27122-27149 (2024)
The multi-term time-fractional order diffusion-wave equation (MT-TFDWE) is an important mathematical model for processes exhibiting anomalous diffusion and wave propagation with memory effects. This article develops a robust numerical technique based
Externí odkaz:
https://doaj.org/article/cbfc5150dd614b4db7b8131164ba22e8
Autor:
Yaning Li, Mengjun Wang
Publikováno v:
Electronic Research Archive, Vol 32, Iss 5, Pp 3522-3542 (2024)
In this paper, we demonstrate the local well-posedness and blow up of solutions for a class of time- and space-fractional diffusion wave equation in a fractional power space associated with the Laplace operator. First, we give the definition of the s
Externí odkaz:
https://doaj.org/article/3c435987603c40c9802941824df12918
Autor:
M.H. Heydari, M. Razzaghi
Publikováno v:
Results in Applied Mathematics, Vol 23, Iss , Pp 100466- (2024)
In this work, the ψ-Caputo fractional derivative, as a generalization of the classical Caputo fractional derivative in which the fractional derivative of a sufficiently differentiable function is defined with respect to another strictly increasing f
Externí odkaz:
https://doaj.org/article/7d52df754e7144d5982fe43ed0a83254
Optimal control for a variable-order diffusion-wave equation with a reaction term; A numerical study
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 10, Iss , Pp 100658- (2024)
In this paper, optimal control for a variable-order diffusion-wave equation with a reaction term is numerically studied, where the variable-order operator is defined in the sense of Caputo proportional constant. Necessary optimality conditions for th
Externí odkaz:
https://doaj.org/article/5d2bf8e0361a4361a9ee3f25b267ede8
Autor:
Wenjing An, Xingdong Zhang
Publikováno v:
Electronic Research Archive, Vol 32, Iss 1, Pp 354-369 (2024)
In this paper, an implicit compact finite difference (CFD) scheme was constructed to get the numerical solution for time fractional diffusion-wave equation (TFDWE), in which the time fractional derivative was denoted by Caputo-Fabrizio (C-F) sense. W
Externí odkaz:
https://doaj.org/article/b4efce52d0644cf296a73e0ec8fb3a41
Publikováno v:
Alexandria Engineering Journal, Vol 81, Iss , Pp 118-129 (2023)
In this paper, we introduce a numerical technique for solving the Cauchy non-homogeneous time-fractional diffusion-wave equation with the Caputo derivative operator. The key idea behind our approach is to employ the roots of shifted Chebyshev polynom
Externí odkaz:
https://doaj.org/article/778dd94a005a4847aed4561de6c02c72
Publikováno v:
Fractal and Fractional, Vol 8, Iss 6, p 319 (2024)
The two-parameter Mittag–Leffler function Eα,β is of fundamental importance in fractional calculus, and it appears frequently in the solutions of fractional differential and integral equations. However, the expense of calculating this function of
Externí odkaz:
https://doaj.org/article/4196666d3bda4892964d75ded12e1e07
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-29 (2023)
Abstract The paper is devoted to the study of one class of problems with nonlocal conditions for a mixed diffusion-wave equation with two independent variables. The main results of the work are the proof of regular and strong solvability, as well as
Externí odkaz:
https://doaj.org/article/6f27b49864704da89f501e125d8a6c2f
Analysis and numerical approximation of the fractional-order two-dimensional diffusion-wave equation
Publikováno v:
Frontiers in Physics, Vol 11 (2023)
Non-local fractional derivatives are generally more effective in mimicking real-world phenomena and offer more precise representations of physical entities, such as the oscillation of earthquakes and the behavior of polymers. This study aims to solve
Externí odkaz:
https://doaj.org/article/cacb6e8f86654e8ab7a2c00222657ff7
Publikováno v:
Results in Applied Mathematics, Vol 19, Iss , Pp 100389- (2023)
In this paper, we present and analyze two linearized Galerkin finite element schemes, which are constructed by employing the H2N2 formula and its fast version in time direction, for solving the nonlinear time-fractional diffusion-wave equation. By ut
Externí odkaz:
https://doaj.org/article/72385ee36a2f44979fe5965ccc201943