A second-order network structure based on gradient-enhanced physics-informed neural networks for solving parabolic partial differential equations

HIGHLIGHTS

• who: Partial Differential, Equations and Kuo, Sun from the (UNIVERSITY) have published the paper: A Second-Order Network Structure Based on Gradient-Enhanced Physics-Informed Neural Networks for Solving Parabolic Partial Differential Equations, in the Journal: Entropy 2023, 25, 674. of /2023/
• what: The authors aim to infer the entire spatiotemporal 1 x2 - t ) /2u03bd ) solution of the above Equation for this example. Next, the authors show the results of training. In Figure 6, the authors show the Rel.L2 error curves of the velocity component compared to thoseq of the PINNs in the left . . .
  

   

  

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