Analytical and Approximate Solutions of the Nonlinear Gas Dynamic Equation Using a Hybrid Approach

Table 1

Absolute error among the approximate and exact solution at and 1.

x	Approximate values at	Approximate values at	Exact values at	Absolute error at
0.1	1.49157	2.4506	2.4596	0.0464
0.2	1.34963	2.1274	2.22554	0.00814
0.3	1.22119	2.00638	2.01375	0.00737
0.4	1.10498	1.81545	1.82212	0.00667
0.5	0.999828	1.64269	1.64872	0.00603
0.6	0.904682	1.48636	1.49182	0.00546
0.7	0.81859	1.34492	1.34986	0.00494
0.8	0.740691	1.21693	1.2214	0.00447
0.9	0.670205	1.10113	1.10517	0.00404
1.0	0.606426	0.99634	1	0.00366