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Theory and Modern Applications

Table 2 Comparison of the absolute errors for Example 2

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

x

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

θ  =  ϑ  = 0

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

0.0

0

0

0

1.0

3.007.10−8

2.107.10−8

2.707.10−8

2.0

2.353.10−8

4.976.10−8

5.067.10−8

3.0

3.180.10−8

5.733.10−8

5.028.10−8

4.0

9.386.10−8

2.368.10−8

6.252.10−9

5.0

9.514.10−9

6.890.10−9

1.667.10−8

6.0

1.007.10−9

4.581.10−9

3.294.10−9

7.0

6.591.10−10

1.593.10−10

9.366.10−9

8.0

1.070.10−9

3.543.10−9

1.079.10−8

9.0

1.375.10−9

5.259.10−9

1.136.10−8

10.0

6.492.10−10

5.976.10−9

1.153.10−8