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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