New Modified Variational Iteration Laplace Transform Method Compares Laplace Adomian Decomposition Method for Solution Time-Partial Fractional Differential Equations

Table 1

Comparison of LADM and MLVIM solution for the first three approximations with exact solution for , with mesh points , for equation (22).

						Exact
		Approximations		Approximations
		MLVIM	LADM	MLVIM	LADM
0.01	0	0	0	0	0	0
	0.1	0.003438956505107	0.003438956629840	0.001000000000000	0.001000000000000	0.001000000000000
	0.2	0.006877913010215	0.006877913259680	0.002000000000000	0.002000000000000	0.002000000000000
	0.3	0.010316869515322	0.010316869889520	0.003000000000000	0.003000000000000	0.003000000000000
	0.4	0.013755826020430	0.013755826519359	0.004000000000000	0.004000000000000	0.004000000000000
	0.5	0.017194782525537	0.017194783149199	0.005000000000000	0.005000000000000	0.005000000000000
	0.6	0.020633739030645	0.020633739779039	0.006000000000000	0.006000000000000	0.006000000000000
	0.7	0.024072695535752	0.024072696408879	0.007000000000000	0.007000000000000	0.007000000000000
	0.8	0.027511652040860	0.027511653038719	0.008000000000000	0.008000000000000	0.008000000000000
	0.9	0.030950608545967	0.030950609668559	0.009000000000000	0.009000000000000	0.009000000000000
	1	0.034389565051074	0.034389566298398	0.010000000000000	0.010000000000000	0.010000000000000