多宗量导热反问题求解的神经网络法

将神经网络用于求解多宗量导热反问题,建立了相应的数学模型,并给出了具体的网络设计方法。数值模拟结果表明,此法是可行的、有效的,并具有较高的精度和较强的通用性,可推广用于其它反问题的求解。

Neural Network Model for Solving Multi-Variable Inverse Heat Conduction Problem

Neural network was applied to solving multi-variable inverse heat conduction problem,and a valid numerical model was presented.The processing method of the inputting data and outputting data and the determining method of the number of inner layers were discussed.By the numerical simulation,the change of the training error and the testing error accompanying the variation of the number of inner layers is developed.The results indicate that the method is practicable and has high precision.In addition,in order to create a neural network which has high level of generalization,test sets for trial and error must be used to monitor the training process.The extension of the method in this paper to other inverse heat conduction problem is straightforward.