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Table 3 Mean absolute deviation of different methods for first-order ODEs

From: A novel improved extreme learning machine algorithm in solving ordinary differential equations by Legendre neural network methods

ODEs EM Suen-R-K3 R-K4 CNN(GD) CNN(IELM) LNN
Example 1 0.009438 7.199659e–08 3.516257e–11 3.038010e–04 0.018023 6.070510e–08
Example 2 0.006143 2.556570e–08 2.508454e–11 5.306315e–04 0.010317 1.654316e–10
Example 3 0.003830 6.992166e–08 4.140991e–10 2.502357e–04 0.007621 2.191930e–08
Example 4 0.005874 4.650619e–09 2.364301e–11 2.463780e–04 0.010018 2.180179e–12