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Theory and Modern Applications

Table 6 Comparison between the absolute errors for Example 3

From: A new generalized Jacobi Galerkin operational matrix of derivatives: two algorithms for solving fourth-order boundary value problems

x

Method in [37] ( \(\boldsymbol {|\psi_{2}-y|}\) )

Method in [37] ( \(\boldsymbol {|\phi_{2}-y|}\) )

GJCOMM ( N  = 2)

0.0

0.0

0.0

0.0

0.2

8.1093 × 10−10

3.5906 × 10−5

2.03045 × 10−18

0.4

2.0542 × 10−9

1.0188 × 10−4

9.04773 × 10−18

0.6

2.2272 × 10−9

1.3579 × 10−4

2.10718 × 10−17

0.8

1.0115 × 10−9

8.5908 × 10−5

3.74696 × 10−17

1.0

0.0

5.5799 × 10−13

5.489 × 10−17