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Theory and Modern Applications

Table 1 Comparison of numerical solutions for different number of steps, N, obtained by different methods

From: Dynamical analysis in explicit continuous iteration algorithm and its applications

N

Euler method

ECI algorithm

Trapezoid method

0

1.0

1.0

1.0

50

0.1353

0.1408

0.1408

100

0.0176

0.0191

0.0191

200

2.9647e − 04

3.4878e − 04

3.4878e − 04

500

1.4235e − 09

2.1396e − 09

2.1396e − 09

1000

1.9452e − 18

4.3982e − 18

4.3982e − 18