A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 The results obtained by the FRDTM for different values of α for Example 4.3

x	t	α = 0.25	α = 0.5	α = 0.75	α = 1
x	t	Numerical	Numerical	Numerical	Numerical	Exact
0.1	0.002	0.768025	0.515858	0.487054	0.483079	0.483079
	0.003	0.79101	0.523384	0.488734	0.483453	0.483453
	0.004	0.807412	0.529721	0.490276	0.483828	0.483828
	0.006	0.830055	0.540329	0.493102	0.484577	0.484577
0.3	0.002	0.7419	0.480518	0.451845	0.447907	0.447907
	0.003	0.766709	0.488048	0.453511	0.448278	0.448278
	0.004	0.784528	0.494401	0.455041	0.448649	0.448649
	0.006	0.809302	0.505062	0.457846	0.449391	0.449391
0.5	0.002	0.713958	0.445372	0.417112	0.413248	0.413248
	0.003	0.740586	0.452832	0.418748	0.413612	0.413612
	0.004	0.759881	0.459137	0.420251	0.413976	0.413976
	0.006	0.787034	0.469743	0.423008	0.414704	0.414704
0.6	0.002	0.699334	0.427979	0.400028	0.396214	0.396214
	0.003	0.726851	0.435377	0.401642	0.396573	0.396573
	0.004	0.746891	0.441635	0.403127	0.396932	0.396932
	0.006	0.775296	0.452175	0.40585	0.397651	0.397651