Research Article
A Comparison between Adomian Decomposition and Tau Methods
Table 1
Numerical results for Problem
2.
| | Exact  | Tau () | ADM () | Tau-Er. | ADM-Er. |
| | 0.00 | 2.00000 | 1.99878 | 2.00000 | | | 0.20 | 2.44000 | 2.43858 | 2.43989 | | | 0.40 | 2.96000 | 2.95849 | 2.95782 | | | 0.60 | 3.56000 | 3.55849 | 3.54811 | | |
| | 0.00 | 2.00000 | 1.99885 | 2.00000 | | | 0.20 | 2.44000 | 2.43867 | 2.44000 | | | 0.40 | 2.96000 | 2.95858 | 2.95999 | | | 0.60 | 3.56000 | 3.55858 | 3.55988 | | | 0.80 | 4.24000 | 4.23867 | 4.23924 | | | 1.00 | 5.00000 | 4.99885 | 4.99691 | | |
| | 0.00 | 2.00000 | 1.99884 | 2.00000 | | | 0.20 | 2.44000 | 2.43866 | 2.44000 | | | 0.40 | 2.96000 | 2.95857 | 2.96000 | | | 0.60 | 3.56000 | 3.55857 | 3.56000 | | | 0.80 | 4.24000 | 4.23866 | 4.24000 | | | 1.00 | 5.00000 | 4.99884 | 5.00000 | | |
|
|