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Theory and Modern Applications

Table 3 Comparison of the absolute errors for Example 3

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

x

RCC [ 36 ] method

EJOM ( N  = 7, L  = 10)

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

θ  =  ϑ  = 0

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

0.0

0

0

0

0

0.1

1.253.10−4

2.915.10−5

3.871.10−5

3.985.10−5

0.2

5.855.10−4

1.836.10−4

2.508.10−4

2.552.10−4

0.3

1.131.10−3

4.957.10−4

6.943.10−4

6.952.10−4

0.4

2.276.10−3

9.589.10−4

1.368.10−3

1.341.10−3

0.5

3.488.10−3

1.564.10−3

2.255.10−3

2.152.10−3

0.6

4.950.10−3

2.320.10−3

3.342.10−3

3.088.10−3

0.7

6.665.10−3

3.255.10−3

4.631.10−3

4.123.10−3

0.8

8.596.10−3

4.416.10−3

6.139.10−3

5.246.10−3

0.9

1.074.10−2

5.872.10−3

7.897.10−3

6.463.10−3

1.0

1.309.10−2

7.701.10−3

9.949.10−3

7.795.10−3