# Solving Differential Equation with Constrained Multilayer Feedforward Network

@article{Liu2019SolvingDE, title={Solving Differential Equation with Constrained Multilayer Feedforward Network}, author={Zeyu Liu and Yantao Yang and Qingdong Cai}, journal={arXiv: Numerical Analysis}, year={2019} }

In this paper, we present a novel framework to solve differential equations based on multilayer feedforward network. Previous works indicate that solvers based on neural network have low accuracy due to that the boundary conditions are not satisfied accurately. The boundary condition is now inserted directly into the model as boundary term, and the model is a combination of a boundary term and a multilayer feedforward network with its weight function. As the boundary condition becomes…

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