He's homotopy perturbation method for solving the shock wave equation

BERBERLER M. E., YILDIRIM A.

APPLICABLE ANALYSIS, cilt.88, sa.7, ss.997-1004, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 88 Sayı: 7
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1080/00036810903114767
  • Dergi Adı: APPLICABLE ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.997-1004
  • Anahtar Kelimeler: the homotopy perturbation method, shock wave equations, soliton solutions, conservation law, BOUNDARY-VALUE-PROBLEMS, DE-VRIES EQUATION, NONLINEAR PROBLEMS, DISCONTINUITIES, OSCILLATOR
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

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.