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 2 The results obtained by the FRDTM for different values of α for Example 4.1

x	t	α = 0.25	α = 0.5	α = 0.75	α = 1
x	t	Numerical	Numerical	Numerical	Numerical	Exact
−10	2	1	1	1	1	1
	4	1	1	1	1	1
	6	1	1	1	1	1
	8	1	1	1	1	1
−5	2	1.00014	1.00014	1	1	1
	4	1.02059	1.00261	1.00001	1	1
	6	1.37155	1.02059	1.00014	1.00002	1
	8	3.86303	1.02059	1.00112	1.00014	1
5	2	0.200786	0.20001	0.200001	0.2	0.2
	4	0.280682	0.200786	0.200059	0.20001	0.20004
	6	1.48828	0.211558	0.200786	0.200123	0.204848
	8	9.53999	0.280682	0.205256	0.200786	0.540446
10	2	0.2	0.2	0.2	0.2	0.2
	4	0.2	0.2	0.2	0.2	0.2
	6	0.2	0.2	0.2	0.2	0.2
	8	0.2	0.2	0.2	0.2	0.2