Table 2

Numerical results for Example 4.1 (n = 51, N = 5)

x

True solution u(x)

Approximate solution u11

Absolute error

Relative error


0.08

0.05566

0.05564

2.3E-5

4.IE-4

0.16

0.19798

0.19796

2.IE-5

1.1E-4

0.24

0.39473

0.39471

2.0E-5

4.9E-5

0.32

0.60560

0.60557

2.8E-5

4.6E-5

0.40

0.77891

0.77885

5.6E-5

7.IE-5

0.48

0.86452

0.86444

8.0E-5

9.3E-5

0.56

0.83516

0.83509

6.6E-5

7.9E-5

0.64

0.70036

0.70035

9.6E-6

1.4E-5

0.72

0.50144

0.50148

4.3E-5

8.6E-5

0.80

0.29175

0.29180

4.7E-5

1.6E-5

0.88

0.11797

0.11797

2.2E-6

1.9E-5


Gao et al. Boundary Value Problems 2012 2012:3   doi:10.1186/1687-2770-2012-3

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