Zobrazeno 1 - 10
of 6 514
pro vyhledávání: '"Fractional diffusion"'
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:
Zeshan Qiu
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 27102-27121 (2024)
In this paper, high-order numerical algorithms for two classes of time-independent one-sided tempered fractional diffusion equations were studied. The time derivative was discretized by the backward difference formula, the space tempered fractional d
Externí odkaz:
https://doaj.org/article/3f3986508449450e9b2ae28293ffa60b
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
Autor:
Wei Fan, Kangqun Zhang
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 25494-25512 (2024)
In this paper, we study an initial boundary value problem of a nonlinear fractional diffusion equation with the Caputo-type modification of the Erdélyi-Kober fractional derivative. The main tools are the Picard-iteration method, fixed point principl
Externí odkaz:
https://doaj.org/article/ef75c28dda7f434e849c624770da8b97
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:
Journal of Mahani Mathematical Research, Vol 13, Iss 2, Pp 571-593 (2024)
This paper introduces a modified version of the Variational Iteration Method, incorporating $\mathbb{P}$-transformation. We propose a novel semi-analytical technique named the modified variational iteration method for addressing fractional differ
Externí odkaz:
https://doaj.org/article/35dcb78beacf4930993fc6608d956367