Skip to main content

Theory and Modern Applications

Table 1 Err comparison of the spline method [8] and the proposed method for equations (21)–(22)

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

 

Interval

[0,0.1]

[0.1,0.2]

[0.2,0.3]

[0.3,0.4]

[0.4,0.5]

Our method

1.63806 × 10−12

1.48828 × 10−12

1.35303 × 10−12

1.22071 × 10−12

1.11135 × 10−12

Spline algorithm [8]

2.6999 × 10−10

5.1438 × 10−10

7.36 × 10−10

9.38797 × 10−10

1.1268 × 10−9

 

Interval

[0.5,0.6]

[0.6,0.7]

[0.7,0.8]

[0.8,0.9]

[0.9,1]

Our method

1.01325 × 10−12

9.25324 × 10−13

8.47024 × 10−13

7.77505 × 10−13

7.15577 × 10−13

Spline algorithm [8]

1.30572 × 10−9

1.48252 × 10−9

1.66579 × 10−9

1.86603 × 10−9

2.09601 × 10−9