Analytical Approach for the Approximate Solution of Harry Dym Equation with Caputo Fractional Derivative

Table 1

Absolute error between the approximate solution and the exact solution at different fractional order.

				Exact solution	Absolute error
0.25	0.1	2.10752	2.29415	2.29423	0.00008
	0.2	1.98222	2.22711	2.22772	0.00061
	0.3	1.87337	2.15814	2.16021	0.00207
0.50	0.1	1.92862	2.12596	2.12605	0.00009
	0.2	1.79251	2.05611	2.05691	0.0008
	0.3	1.67196	1.98391	1.98658	0.00267
0.75	0.1	1.73983	1.95081	1.95094	0.00013
	0.2	1.58912	1.87762	1.87867	0.00105
	0.3	1.45240	1.80144	1.80499	0.00355
1.0	0.1	1.53819	1.76739	1.76758	0.00019
	0.2	1.36670	1.69008	1.69154	0.00146
	0.3	1.20643	1.60884	1.61375	0.00491