Uncertain partial differential equation with application to heat conduction

Yang Xiangfeng; Yao Kai

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Uncertain partial differential equation with application to heat conduction

机译：具有施用热传导的不确定部分微分方程

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摘要

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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来源
《Fuzzy Optimization and Decision Making: A Journal of Modeling and Computation Under Uncertainty》 |2017年第3期|共25页
作者
Yang Xiangfeng; Yao Kai;
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作者单位

Univ Int Business &

Econ Sch Informat Technol &

Management Beijing 100029 Peoples R China;

Univ Chinese Acad Sci Sch Econ &

Management Beijing 100190 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类运筹学;
关键词
Uncertainty theory; Uncertain process; Partial differential equation; Heat equation;

机译：不确定性理论;不确定的过程;部分微分方程;热方程;

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2. Application of Mixed Differential Quadrature Method for Solving the Coupled Two-Dimensional Incompressible Navier-Stokes Equation and Heat Equation [J] . A.S.J.AL-SAIF, 朱正佑上海大学学报：英文版 . 2003,第004期
3. Application of Lagrange Equations in Heat Conduction [J] . WU Jing, GUO Zengyuan, SONG Bai 清华大学学报（英文版） . 2009,第0z1期
4. Application of Lagrange Equations in Heat Conduction [J] . WU Jing, GUO Zengyuan, SONG Bai 清华大学学报（英文版） . 2009,第0z2期
5. Uncertain partial differential equation with application to heat conduction [J] . Yang Xiangfeng, Yao Kai Fuzzy Optimization and Decision Making: A Journal of Modeling and Computation Under Uncertainty . 2017,第3期

机译：具有施用热传导的不确定部分微分方程
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Uncertain partial differential equation with application to heat conduction

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