A physics-constrained deep residual network for solving the sine-Gordon equation

Jun Li(李军),Yong Chen(陈勇)

Table 3. Relative ${{\mathbb{L}}}_{2}$ errors for different numbers of hidden layers and neurons per hidden layer under a fixed random seed.

Neurons Hidden layers 10 20 40 80 4 5.09e-01 7.01e-04 4.98e-04 1.21e-03 8 1.76e-03 1.47e-03 9.65e-04 8.43e-04 12 7.91e-04 7.87e-04 6.09e-04 7.05e-03 16 6.65e-04 3.38e-04 3.70e-04 2.16e-03