Mohamed El-Beltagy
Professor, Engineering Mathematics and Physics Department
Engineering Faculty, Cairo University,12613, Giza, Egypt (email)
Engineering Faculty, Cairo University,12613, Giza, Egypt (email)
Modelling of physical systems with stochastic variations is mandatory in many applications. In this work, a new stochastic space–time kinetic model for the nuclear reactor is developed. The model is an efficient alternative to existing techniques available in the literature. The main advantage is to avoid square root of the covariance matrix and hence reduces the computational cost. The model is constructed and derived in detail. The mean, statistical properties, and quantification of uncertainties due to noise are obtained. The computational complexity is compared to the existing models to validate the efficiency. The model is tested against several problems and has shown accuracy and efficiency compared with existing models in the literature.
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