Uncertain partial differential equation with application to heat conduction

Xiangfeng Yang () and Kai Yao ()
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Xiangfeng Yang: University of International Business and Economics
Kai Yao: University of Chinese Academy of Sciences

Fuzzy Optimization and Decision Making, 2017, vol. 16, issue 3, No 6, 379-403

Abstract: Abstract This paper first presents a tool of uncertain partial differential equation, which is a type of partial differential equations driven by Liu processes. As an application of uncertain partial differential equation, uncertain heat equation whose noise of heat source is described by Liu process is investigated. Moreover, the analytic solution of uncertain heat equation is derived and the inverse uncertainty distribution of solution is explored. This paper also presents a paradox of stochastic heat equation.

Keywords: Uncertainty theory; Uncertain process; Partial differential equation; Heat equation (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (20)

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DOI: 10.1007/s10700-016-9253-9

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