Homotopy Perturbation Method for Fractional Gas Dynamics Equation Using Sumudu Transform

Table 1

Comparison study between HPSTM, ADM, and the exact solution when 𝛼 = 1.

x	t	HPSTM	ADM	Exact solution
0	0.1	1.221333333	1.221333333	1.221402758
0.2	0.1	0.9999431595	0.9999431595	1.000000000
0.4	0.1	0.8186842160	0.8186842160	0.8187307531
0.6	0.1	0.6702819447	0.6702819447	0.6703200460
0.8	0.1	0.5487804413	0.5487804413	0.5488116361
1.0	0.1	0.4493037263	0.4493037263	0.4493289641