Table 1

Numerical results for Example 4.1 (n = 21, N = 5)

x

True solution u(x)

Approximate solution u11

Absolute error

Relative error


0.08

0.05566

0.05530

3.6E-4

6.5E-3

0.16

0.19798

0.19765

3.3E-4

1.7E-3

0.24

0.39473

0.39443

3.0E-4

7.6E-4

0.32

0.60560

0.60526

3.4E-4

5.6E-4

0.40

0.77891

0.77839

5.2E-4

6.6E-4

0.48

0.86452

0.86385

6.7E-4

7.7E-4

0.56

0.83516

0.83457

5.9E-4

7.1E-4

0.64

0.70036

0.70009

2.7E-4

3.8E-4

0.72

0.50144

0.50146

1.8E-5

3.6E-4

0.80

0.29175

0.29175

3.2E-6

1.1E-5

0.88

0.11797

0.11771

2.6E-4

2.2E-3

0.96

0.01485

0.01453

3.3E-4

2.2E-3


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

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