Research Article
New Modified Variational Iteration Laplace Transform Method Compares Laplace Adomian Decomposition Method for Solution Time-Partial Fractional Differential Equations
Table 3
Comparison of LADM and MLVIM solution for the first three approximations with exact solution for
, with mesh points
, for equation (
44).
| | | | | Exact | Approximations | Approximations | MLVIM | LADM | MLVIM | LADM |
| 0.01 | 0 | 0.0000000000000 | 0.0000000000000 | 0.0000000000000 | 0.0000000000000 | 0.0000000000000 | 0.1 | 0.0126482489762 | 0.0122993153154 | 0.0106367200000 | 0.0106128806193 | 0.0106382978723 | 0.2 | 0.0505929959046 | 0.0491972612617 | 0.0425468800000 | 0.0424515224771 | 0.0425531914894 | 0.3 | 0.1138342407854 | 0.1106938378389 | 0.0957304800000 | 0.0955159255734 | 0.0957446808511 | 0.4 | 0.2023719836184 | 0.1967890450469 | 0.1701875200000 | 0.1698060899082 | 0.1702127659574 | 0.5 | 0.3162062244038 | 0.3074828828857 | 0.2659180000000 | 0.2653220154816 | 0.2659574468085 | 0.6 | 0.4553369631414 | 0.4427753513555 | 0.3829219200000 | 0.3820637022935 | 0.3829787234043 | 0.7 | 0.6197641998314 | 0.6026664504560 | 0.5211992800000 | 0.5200311503439 | 0.5212765957447 | 0.8 | 0.8094879344736 | 0.7871561801875 | 0.6807500800000 | 0.6792243596329 | 0.6808510638298 | 0.9 | 1.0245081670682 | 0.9962445405498 | 0.8615743200000 | 0.8596433301604 | 0.8617021276596 | 1 | 1.2648248976150 | 1.2299315315429 | 1.0636720000000 | 1.0612880619264 | 1.0638297872340 |
|
|