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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