Skip to main content

Theory and Modern Applications

Table 9 Comparing absolute errors at \(m= 5\)

From: Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations

x

Runge–Kutta

RCC method

\(e_{20}\)

\(e_{25}\)

0.0

0

0

0

0.2

1.3486 × 10−8

2.60697 × 10−8

6.07152 × 10−10

0.4

4.7444 × 10−9

2.53963 × 10−8

5.69494 × 10−10

0.6

1.2655 × 10−9

2.21944 × 10−8

4.90154 × 10−10

0.8

6.287 × 10−10

1.79881 × 10−8

3.92929 × 10−10

1.0

1.7025 × 10−9

1.35314 × 10−8

2.92358 × 10−10

1.2

2.2635 × 10−9

9.29598 × 10−9

2.02582 × 10−10

1.4

2.49 × 10−9

5.48337 × 10−9

5.82489 × 10−10

1.6

2.502 × 10−9

6.28875 × 10−10

1.08966 × 10−8

1.8

2.3824 × 10−9

2.06909 × 10−8

1.11352 × 10−7

2.0

2.1877 × 10−9

1.37968 × 10−7

6.81077 × 10−7