Research Article
Solving Operator Equation Based on Expansion Approach
Table 2
Comparison between the exact and approximate solutions for
,
, and
of Experiment
2.
| | Exact solution | Pseudospectral method | Error |
| 0.0 | 0.62245933 | 0.62245922 | 0.00000011 | 0.1 | 0.68366636 | 0.68366643 | ā0.00000007 | 0.2 | 0.75131058 | 0.75131034 | 0.00000024 | 0.3 | 0.82606901 | 0.82606923 | ā0.00000022 | 0.4 | 0.90868985 | 0.90868925 | 0.00000060 | 0.5 | 1.00000000 | 1.00000000 | 0.0000000 | 0.6 | 1.10091330 | 1.10091120 | 0.00000021 | 0.7 | 1.21243980 | 1.21243880 | 0.00000010 | 0.8 | 1.33569560 | 1.33569450 | 0.00000011 | 0.9 | 1.47191430 | 1.47191350 | 0.00000008 | 1.0 | 1.62245930 | 1.62245560 | 0.00000037 |
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