PINN 求解 Burgers 方程 2.源代码地址:GitHub - sciann/sciann-applications: A place to share problems solved with SciANN 一、Burgers 方程 u,t+uu,x−(0.01/π)u,xx=0,t∈[0,1],x∈[−1,1],u(t=0,x)=−sin(πx),u(t,x=±1)=0 二、PINN 求解 1. 设置神经网络 神经网络输入...
PINN求解Burgers方程 1.PINN 参考文献:Physics-informed neural networks (PINNs) for fluid mechanics: A review PINN示意图 我们考虑一个参数化偏微分方程(PDE)系统 f(x,t,u^,∂xu^,∂tu^,…,λ)=0,x∈Ω,t∈[0,T]u^(x,t0)=g0(x)x∈Ωu^(x,t)=gΓ(t),x∈∂Ω,t∈[0,T], 其...