基于物理信息神经网络的燃烧化学微分方程求解

王意存,邢江宽,罗坤,王海鸥,樊建人

Solving combustion chemical differential equations via physics-informed neural network

Yi-cun WANG,Jiang-kuan XING,Kun LUO,Hai-ou WANG,Jian-ren FAN

表 1 ROBER问题（Te = 1 s）不同隐藏层配置的训练损失

Tab.1 Training loss for different hidden layers for ROBER problem (Te = 1 s)

隐藏层层数 L Nl = 50 Nl = 100 Nl = 150 Nl = 200 3 3.01×10−3 5.47×10−6 7.30×10−6 9.46×10−6 4 2.30×10-3 4.40×10-7 5.21×10-7 3.16×10-7 5 7.15×10−4 7.48×10−7 1.88×10−7 1.96×10−7