Table 7 CDG 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)

\(4.47\times 10^{-2}\)

\(1.25\times 10^{-2}\)

72.03%

Time cost

185 s

312 s

−

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