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Table 6 Mean absolute deviation of different methods for second-order ODEs

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

ODEs SM DM CNN (IELM) LNN
Example 5 3.630769e–10 1.838151e–05 0.004091 1.911390e–13
Example 6 5.590491e–11 1.046468e–05 0.004280 6.852182e–12
Example 7 1.794887e–11 1.282581e–06 0.003461 1.783986e–13
Example 8 1.110794e–09 1.439213e–05 0.001528 8.837987e–11