pETNNs: Partial Evolutionary Tensor Neural Networks for Solving
Time-dependent Partial Differential Equations
pETNNs: Partial Evolutionary Tensor Neural Networks for Solving
Time-dependent Partial Differential Equations
We present partial evolutionary tensor neural networks (pETNNs), a novel framework for solving time-dependent partial differential equations with both of high accuracy and remarkable extrapolation. Our proposed architecture leverages the inherent accuracy of tensor neural networks, while incorporating evolutionary parameters that enable remarkable extrapolation capabilities. By adopting innovative parameter update …