@Article{JMS-57-460,
author = {Liu , Jiaqi and Ji , Cui-Cui},
title = {Numerical Investigation of the Three-Dimensional Time-Fractional Extended Fisher-Kolmogorov Equation via a Meshless Method},
journal = {Journal of Mathematical Study},
year = {2024},
volume = {57},
number = {4},
pages = {460--475},
abstract = {<p style="text-align: justify;">In this paper, we develop an efficient meshless technique for solving numerical solutions of the three-dimensional time-fractional extended Fisher-Kolmogorov
(TF-EFK) equation. Firstly, the $L2-1_σ$ formula on a general mesh is used to discretize
the Caputo fractional derivative, and then a weighted average technique at two neighboring time levels is adopted to implement the time discretization of the TF-EFK equation. After applying this time discretization, the generalized finite difference method
(GFDM) is introduced for the space discretization to solve the fourth-order nonlinear
algebra system generated from the TF-EFK equation with an arbitrary domain. Numerical examples are investigated to validate the performance of the proposed meshless GFDM in solving the TF-EFK equation in high dimensions with complex domains.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v57n4.24.04},
url = {http://global-sci.org/intro/article_detail/jms/23712.html}
}