Table 2: Comparison of numerical results for Example 2.

Exact solution Approximate series solution Absolute error

1.00001.00000.0000
0.8143540.814354
0.654985 0.654985
0.518573 0.518573
0.402192 0.402192
0.303265 0.303265
0.219525 0.219525
0.148976 0.148976
0.0898658 0.0898658
0.0406570.040657
0.0000