Numerical Approaches of the Generalized Time-Fractional Burgers’ Equation with Time-Variable Coefficients

Table 2

Comparison between analytical and numerical results of the solution of Equation (46).

	Analytical solution	Numerical solution		Analytical solution	Numerical solution
0.04			0.44	0.1277624	0.1277683
0.08			0.48	0.1537559	0.1537622
0.12			0.52	0.1824127	0.1824195
0.16	0.0153980	0.0154002	0.56	0.2137889	0.2137962
0.20	0.0244342	0.0244371	0.60	0.2479393	0.2479471
0.24	0.0356989	0.0357023	0.64	0.2849178	0.2849261
0.28	0.0492606	0.0492645	0.68	0.3247773	0.3247861
0.32	0.0651852	0.0651896	0.72	0.3675701	0.3675794
0.36	0.0835363	0.0835411	0.76	0.4133474	0.4133572
0.40	0.1043754	0.1043807	0.80	0.4621601	0.4621703