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Theory and Modern Applications

Table 4 Comparison of the absolute errors for Example 4

From: A new exponential Jacobi pseudospectral method for solving high-order ordinary differential equations

x

θ  =  ϑ  = 0

\(\boldsymbol {\theta = \vartheta=\frac{1}{2}}\)

θ  =  ϑ  = 1

0.0

0

0

0

10.0

5.810.10−8

6.143.10−8

6.856.10−8

20.0

5.880.10−8

1.450.10−6

1.264.10−6

30.0

2.953.10−7

1.094.10−6

5.662.10−8

40.0

1.933.10−7

8.744.10−7

2.319.10−6

50.0

1.047.10−7

1.617.10−6

3.126.10−6

60.0

8.421.10−7

1.775.10−6

3.296.10−6

70.0

8.012.10−8

1.805.10−6

3.329.10−6

80.0

7.940.10−8

1.811.10−6

3.335.10−6

90.0

7.924.10−8

1.812.10−6

3.336.10−6

100.0

7.924.10−8

1.812.10−6

3.336.10−6