Solving Nonlinear Fractional Partial Differential Equations Using the Elzaki Transform Method and the Homotopy Perturbation Method

Table 1

Solution for the first three approximations with exact solution, with mesh points , for equation (18).

						Exact
0.2	0	0	0	0	0	0
	0.1	-0.1480375	-0.136454922	-0.128120827	-0.1248	-0.125
	0.2	-0.296074999	-0.272909844	-0.256241654	-0.2496	-0.25
	0.3	-0.444112499	-0.409364766	-0.384362481	-0.3744	-0.375
	0.4	-0.592149999	-0.545819688	-0.512483308	-0.4992	-0.5
	0.5	-0.740187498	-0.68227461	-0.640604134	-0.624	-0.625
	0.6	-0.888224998	-0.818729532	-0.768724961	-0.7488	-0.75
	0.7	-1.036262498	-0.955184454	-0.896845788	-0.8736	-0.875
	0.8	-1.184299998	-1.091639376	-1.024966615	-0.9984	-1
	0.9	-1.332337497	-1.228094299	-1.153087442	-1.1232	-1.125
	1	-1.480374997	-1.364549221	-1.281208269	-1.248	-1.25