Table 2 The RMSE of Case 2 by increasing \(N_{P}\) and fixing \(N_{G}= 15251\)
From: Physics-informed neural networks approach for 1D and 2D Gray-Scott systems
\(\varvec{N_{P}}\) | \({\varvec{RMSE}}_{{\varvec{u}}}\) | \({\varvec{RMSE}}_{{\varvec{v}}}\) |
|---|---|---|
24 | \(4.6145\times 10^{-3}\) | \(5.7044\times 10^{-2}\) |
63 | \(1.8322\times 10^{-3}\) | \(1.0239\times 10^{-2}\) |
117 | \(1.3297\times 10^{-3}\) | \(4.9414\times 10^{-3}\) |
176 | \(9.6979\times 10^{-4}\) | \(4.2570\times 10^{-3}\) |
651 | \(7.9761\times 10^{-4}\) | \(4.1751\times 10^{-3}\) |
15251 | \(5.8099\times 10^{-4}\) | \(3.8161\times 10^{-3}\) |