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Theory and Modern Applications

Table 3 Err of the proposed method for equations (23)–(24) with \(h=0.1\)

From: An iterative algorithm for robust simulation of the Sylvester matrix differential equations

Interval

Our method

m = 4

m = 5

[0,5]

3.73335 × 10−10

1.65403 × 10−12

[5,10]

2.22099 × 10−9

2.10642 × 10−12

[10,15]

3.11465 × 10−9

2.77084 × 10−12

[15,20]

3.77280 × 10−9

4.39272 × 10−12

[20,25]

5.53761 × 10−9

5.19905 × 10−12

[25,30]

5.82448 × 10−9

6.01671 × 10−12