He's homotopy perturbation method for solving the shock wave equation
Articles > Article · 2009
Authors: Murat Ersen BERBERLER, Ahmet YILDIRIM
Applicable Analysis, Journal Indexed in SCI Expanded, International, WoS, 2009, vol 88, pp 997-1004
DOI: 10.1080/00036810903114767
Summary
In this article, we discuss the analytic solution of the fully developed shock waves. The homotopy perturbation method is used to solve the shock wave equation, which describes the flow of gases. Unlike the various numerical techniques, which are usually valid for short period of time, the solution of the presented equation is analytic for 0 < t < ∞. The results presented converge very rapidly, indicating that the method is reliable and accurate.