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Fuzzy Optimization and Decision Making

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29-09-2016

Uncertain partial differential equation with application to heat conduction

Authors: Xiangfeng Yang, Kai Yao

Published in: Fuzzy Optimization and Decision Making | Issue 3/2017

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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.

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Title: Uncertain partial differential equation with application to heat conduction
Authors: Xiangfeng Yang
Kai Yao
Publication date: 29-09-2016
Publisher: Springer US
Published in: Fuzzy Optimization and Decision Making / Issue 3/2017
Print ISSN: 1568-4539
Electronic ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-016-9253-9

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