Research Article
Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations
Table 1
Numerical values when
, 0.50, 0.75, and 1.0 for (
52).
| | 0.25 | 0.50 | | 0.25 | 0.50 | 0.75 | 1.00 | 0.25 | 0.50 | 0.75 | 1.00 |
| VIM | 0.20002 | 0.40004 | 0.60006 | 0.80007 | 0.16702 | 0.33405 | 0.50107 | 0.66810 | VIMLW | 0.20002 | 0.40004 | 0.60006 | 0.80006 | 0.16702 | 0.33405 | 0.50107 | 0.66809 |
Exact | 0.20000 | 0.40000 | 0.60000 | 0.80000 | 0.16667 | 0.33333 | 0.50000 | 0.66667 |
| | 0.75 | 1.00 | | 0.25 | 0.50 | 0.75 | 1.00 | 0.25 | 0.50 | 0.75 | 1.00 |
| VIM | 0.14461 | 0.28921 | 0.43382 | 0.57842 | 0.12989 | 0.25977 | 0.38966 | 0.51955 | VIMLW | 0.14460 | 0.28921 | 0.43382 | 0.57841 | 0.12989 | 0.25977 | 0.38966 | 0.51953 | Exact | 0.14286 | 0.28571 | 0.42857 | 0.57143 | 0.12500 | 0.25000 | 0.37500 | 0.50000 |
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