Zobrazeno 1 - 10
of 1 541
pro vyhledávání: '"Space-fractional"'
Publikováno v:
Multidiscipline Modeling in Materials and Structures, 2024, Vol. 20, Issue 6, pp. 1284-1306.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/MMMS-06-2024-0158
Autor:
Boyu Liu, Wenyan Wang
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 33286-33300 (2024)
A numerical approach is proposed for space fractional partial differential equations by the reproducing kernel approach. Some procedures are presented for improving the existing methods. The presented method is easy to accomplish. Approximate solutio
Externí odkaz:
https://doaj.org/article/9b565d858fe14a4b9d9d113101dfefb3
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-20 (2024)
Abstract In this article, we propose a split-step finite element method (FEM) for the two-dimensional nonlinear Schrödinger equation (NLS) with Riesz fractional derivatives in space. The space-fractional NLS is first spatially discretized by finite
Externí odkaz:
https://doaj.org/article/c5034375e86443bcbb09eb0be5aeb183
On the effective method for the space-fractional advection-diffusion equation by the Galerkin method
Autor:
Haifa Bin Jebreen, Hongzhou Wang
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 24143-24162 (2024)
The present work is dedicated to a study that focuses on solving space-fractional advection-diffusion equations (SFADEs) using the Galerkin method. Through our analysis, we demonstrate the effectiveness of this approach in solving the considered equa
Externí odkaz:
https://doaj.org/article/5a540127d2494507a995fd8b1424050d
Autor:
Zhao Li-Fang, Zhang Wei
Publikováno v:
Open Physics, Vol 22, Iss 1, Pp 295-302 (2024)
Due to the nonlocality of fractional derivatives, the numerical methods for solving nonlinear fractional Whitham–Broer–Kaup (WBK) equations are time-consuming and tedious. Therefore, it is a research hotspot to explore the numerical solution of f
Externí odkaz:
https://doaj.org/article/775ce581bbd741d1b71e8749717c6d99
Publikováno v:
Alexandria Engineering Journal, Vol 92, Iss , Pp 254-266 (2024)
This work strives to study the impact of both the multiplicative Wiener process and spatial fractional derivatives on the solutions of (3+1) stochastic fractional partial differential equation describing the fluids with gas bubbles. Based on the comp
Externí odkaz:
https://doaj.org/article/8714aa6ffa9f4d56a7a1ee96972155d9
Autor:
Tassos Bountis, Julia Cantisán, Jesús Cuevas-Maraver, J.E. Macías-Díaz, Panayotis G. Kevrekidis
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100807- (2024)
In honor of the great Russian mathematician A. N. Kolmogorov, we would like to draw attention in the present paper to a curious mathematical observation concerning fractional differential equations describing physical systems, whose time evolution fo
Externí odkaz:
https://doaj.org/article/fa27733e235f4fe6b585df4d0e77ef48
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100803- (2024)
This paper is devoted to the theoretical analysis of a coupled nonlinear system of fractional Schrödinger equations in Rn×R+, n≥1, considering time fractional derivative in the Caputo sense, and a fractional spatial dispersion defined in terms of
Externí odkaz:
https://doaj.org/article/c0958075e8f24bfeb4c85a5c9f22dc5f
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 7040-7062 (2024)
Multi-term fractional diffusion equations can be regarded as a generalisation of fractional diffusion equations. In this paper, we develop an efficient meshless method for solving the multi-term time-space fractional diffusion equation. First, we use
Externí odkaz:
https://doaj.org/article/5c7438604f4b4c1f82e4d293ffa8190e