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Theory and Modern Applications

Table 1 Absolute errors for the RCC method at different N

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

\(x_{i}\)

\(e_{5}\)

\(e_{8}\)

\(e_{10}\)

0.0

0

0

0

0.1

8.09945 × 10−6

2.10677 × 10−7

7.75121 × 10−8

0.2

7.19997 × 10−5

1.36228 × 10−6

4.47100 × 10−7

0.3

2.13045 × 10−4

3.45067 × 10−6

1.09107 × 10−6

0.4

4.16020 × 10−4

6.35635 × 10−6

1.97909 × 10−6

0.5

6.67314 × 10−4

9.99044 × 10−6

3.08286 × 10−6

0.6

9.70708 × 10−4

1.42644 × 10−5

4.37683 × 10−6

0.7

1.34619 × 10−3

1.91020 × 10−5

5.83775 × 10−6

0.8

1.82307 × 10−3

2.44326 × 10−5

7.44486 × 10−6

0.9

2.43308 × 10−3

3.02070 × 10−5

9.16450 × 10−6

1.0

3.20542 × 10−3

3.64697 × 10−5

1.08977 × 10−5