A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation

Table 2

Results of Example 1 at for .

		[31]	Present	Exact	Abs. error	Abs. error
					[31]	Present
0.25	0.10	0.9812176	0.9579127	0.9510565	3.016115e − 02	6.856230e − 03
	0.30	0.6464059	0.5680175	0.5877853	5.862068e − 02	1.976778e − 02
	0.50	−3.075e − 59	−4.5661e − 16	6.1232e − 17	3.304634e − 59	5.178393e − 16
	0.70	−0.664067	−0.5680175	−0.5877853	5.862068e − 02	1.976778e − 02
	0.90	−9.812136	−0.9579127	−0.9510565	3.016115e − 02	6.856230e − 03
0.75	0.10	0.9319893	0.9643378	0.9510565	1.906739e − 02	1.328133e − 02
	0.30	0.5418891	0.5746742	0.5877853	4.589585e − 02	1.311105e − 02
	0.50	6.120e − 59	−6.1287e − 15	6.1232e − 17	5.890384e − 59	6.189963e − 15
	0.70	−0.541856	−0.5746742	−0.5877853	4.589585e − 02	1.311105e − 02
	0.90	−0.931992	−0.9643378	−0.9510565	1.906739e − 02	1.328133e − 02
0.9	0.10	0.9146401	0.9628647	0.9510565	3.641245e − 02	1.180823e − 02
	0.30	0.5061482	0.5757488	0.5877853	8.163693e − 02	1.203643e − 02
	0.50	−1.950e − 59	1.9096e − 15	6.1232e − 17	2.179615e − 59	1.848389e − 15
	0.70	−0.506129	−0.5757488	−0.5877853	8.163693e − 02	1.203643e − 02
	0.90	−0.914626	−0.9628647	−0.9510565	3.641245e − 02	1.180823e − 02