Research Article
New Modified Variational Iteration Laplace Transform Method Compares Laplace Adomian Decomposition Method for Solution Time-Partial Fractional Differential Equations
Table 2
Comparison of LADM and MLVIM solution for the first three approximations with exact solution for
, with mesh points
, for equation (
33).
| | | | | Exact | | Approximations | Approximations | | MLVIM | LADM | MLVIM | LADM |
| | 0.01 | 0 | 0.000000000000000 | 0.000000000000000 | 0.000000000000000 | 0.000000000000000 | 0.000000000000000 | | 0.1 | -0.103598315342320 | -0.103600081349948 | -0.101010100586678 | -0.101010133333333 | -0.101010101010101 | | 0.2 | -0.207196630684640 | -0.207200162699895 | -0.202020201173356 | -0.202020266666667 | -0.202020202020202 | | 0.3 | -0.310794946026960 | -0.310800244049843 | -0.303030301760034 | -0.303030400000000 | -0.303030303030303 | | 0.4 | -0.414393261369279 | -0.414400325399790 | -0.404040402346711 | -0.404040533333333 | -0.404040404040404 | | 0.5 | -0.517991576711599 | -0.518000406749738 | -0.505050502933389 | -0.505050666666667 | -0.505050505050505 | | 0.6 | -0.621589892053919 | -0.621600488099685 | -0.606060603520067 | -0.606060800000000 | -0.606060606060606 | | 0.7 | -0.725188207396239 | -0.725200569449633 | -0.707070704106745 | -0.707070933333333 | -0.707070707070707 | | 0.8 | -0.828786522738559 | -0.828800650799581 | -0.808080804693423 | -0.808081066666667 | -0.808080808080808 | | 0.9 | -0.932384838080879 | -0.932400732149528 | -0.909090905280101 | -0.909091200000000 | -0.909090909090909 | | 1 | -1.035983153423190 | -1.036000813499470 | -1.010101005866770 | -1.010101333333330 | -1.010101010101010 |
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