.png){kind=icon}
返回
Compact implicit difference approximation for time-fractional diffusion-wave equation
.png){kind=icon}
OA
AI
DOI：10.1016/j.aej.2021.09.005.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this article, developed the compact implicit difference method based Grunwald Letnikov formula (GLF) to compute the solution of the time-fractional diffusion-wave equation (TFDWE) describing wave propagation phenomenan having order alpha (1 < alpha < 2). The fractional derivative is in Caputo sense. The theoretical analysis such as stability, consistency, convergence and solvability of the said scheme are discussed and proved that the scheme is conditionally stable and convergent with the order (tau(2) (Delta x)(4)). The numerical results compared with the recent existed method. The results of the numerical examples show that the GLF and the proposed method is very accurate and efficient for time fractional diffusion-wave equation. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
Keyword:
Compact approximation
Implicit difference scheme
Fractional diffusion-wave equation
Grtinwald Letnikov formula
Stability
Consistency
Convergence
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
6.8
论文数:
6.3K
被引数:
2.6W
机构
引用论文
分享收藏分享收藏Dinoflagellate Crop in the North Sea: Distribution of Toxin in Molluscan Shellfish following the Occurrence of Mussel Toxicity in North-East England.png)
Nature
NatureIF0
PREAI
分享收藏The Paradox of Participation: A Case Study on Urban Planning in Favelas and a Plea for Autonomy
PREAI
分享收藏
查看更多内容