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Theory and Modern Applications

Table 7 Execution time 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

0.0375

0.0060

0.0299

0.0064

Example 6

0.0365

0.0052

0.0330

0.0056

Example 7

0.0372

0.0051

0.0339

0.0057

Example 8

0.0371

0.0051

0.0294

0.0059