Table 2 KdV equation: \(\mathbb {L}_{2}\) relative error and time cost of PINN(tanh) and PINN(sine).

From: Data-driven solutions and parameter estimations of a family of higher-order KdV equations based on physics informed neural networks

Solution

Method

PINN(tanh)

PINN(sine)

ERR

u(x, t)

\(2.02 \times 10^{-4}\)

\(1.62 \times 10^{-4}\)

18.18%

Time cost

50 s

73 s

–

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