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

This paper presents the study of a numerical scheme for analytical solution nonlinear gas dynamic equation. We use idea Laplace–Carson transform and associate it with homotopy perturbation method (HPM) obtaining series show that this hybrid approach is excellent in agreement converges to exact very smoothly. Further, HPM combined He’s polynomial utilized minimize simulations conditions make easy implementation transform. also exhibit few graphical solutions indicate extremely reliable convenient linear challenges.