Methods of uncertain partial differential equation with application to internet public opinion problem

Article type: Research Article

Authors: Gao, Xin | Fu, Lin^{; *}

Affiliations: School of Mathematical Sciences and Physics, North China Electric Power University, Beijing, China

Correspondence: [*] Corresponding author. Lin Fu, School of Mathematical Sciences and Physics, North China Electric Power University, Beijing 102206, China. Tel.: +86 18503369875; E-mail: fulin@ncepu.edu.cn.

Abstract: Uncertain partial differential equation is a type of partial differential equation driven by Liu processes. This paper first provides two methods for solving the first order linear uncertain partial differential equation and the inverse uncertainty distribution of solution is discussed. Moreover, on the basis of the study of uncertainty theory and the propagation process of internet public opinion, three types of internet public opinion (IPO) problem are proposed based on uncertain partial differential equation. Finally, some numerical examples are given.

Keywords: Uncertainty theory, Uncertain process, Partial differential equation, Internet public opinion

DOI: 10.3233/JIFS-17409

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 3, pp. 1423-1433, 2017