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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.<\/jats:p>","DOI":"10.3233\/jifs-17409","type":"journal-article","created":{"date-parts":[[2017,7,14]],"date-time":"2017-07-14T13:44:13Z","timestamp":1500039853000},"page":"1423-1433","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["Methods of uncertain partial differential equation with application to internet public opinion problem"],"prefix":"10.1177","volume":"33","author":[{"given":"Xin","family":"Gao","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences and Physics, North China Electric Power University, Beijing, China"}]},{"given":"Lin","family":"Fu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences and Physics, North China Electric Power University, Beijing, China"}]}],"member":"179","published-online":{"date-parts":[[2017,7,12]]},"reference":[{"key":"e_1_3_2_2_2","unstructured":"LiuB. 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