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Applications of three-dimensional uncertain heat equations
1School of Reliability and Systems Engineering, Beihang University, Beijing, 100191 China.
Abstract:
Uncertain heat equation is a partial differential equation describing temperature changes with time, while the strength of heat source is affected by the interference of noise. This paper applies the three-dimensional uncertain heat equation in some practical problems, including average temperature, maximum temperature, minimum temperature and minimum time of reaching a given temperature by using mathematical tools of time integral, space integral, extreme value and first hitting time.
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