标题：Fractal effect of random disturbance on reaction-diffusion equation
作者机构：[Zhang, L] Business School, Shandong University of Political Science and Law, Jinan, 250014, China, School of Control Science and Engineering, Shandon 更多
通讯作者地址：[Zhang, L] Business School, Shandong University of Political Science and LawChina
来源：IOP Conference Series: Materials Science and Engineering
关键词：Diffusion equation; Disturbance; Fractal
摘要：Fractal dimension is the main feature of many nonlinear phenomena like the coastline, stock indexes and surface growth. Reaction-diffusion equation which is used mainly in different fields such as physics and medicine has complicated characteristics as its components are nonlinear. In this paper, the fractal effect of the external disturbance on the reaction-diffusion equation which is a partial differential equation is studied. The relationship of the disturbance between the fractal dimension of the output variable has been obtained by finite difference method simutanously. Even there exists random term in the disturbance, the fractal dimension is also stable characteristics of the output variable of the reaction-diffusion equation. © 2020 Institute of Physics Publishing. All rights reserved.