Wen-Da Yan

Extended physics-informed neural networks (Ex-PINNs): a machine-learning method for solving partial differential equations in domain with spatially heterogeneous parameters

In this paper, we propose a machine-learning based method called Extended Physics-informed Neural Networks (Ex-PINNs) to solve the partial differential equations in domain with unknown parameters. In the existing PINNs, the partial differential equations with distributed parameters are often solved by setting several...