Homotopy Perturbation Method for Numerical Solutions of KdV-Burgers' and Lax's Seventh-Order KdV Equations

YILDIRIM A., BERBERLER M. E.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.26, sa.5, ss.1040-1053, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 5
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1002/num.20473
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1040-1053
  • Anahtar Kelimeler: homotopy perturbation method, Korteweg-de Vries Burgers equation, Lax's seventh-order KdV equation, VARIATIONAL ITERATION METHOD, DE-VRIES EQUATION, PARTIAL-DIFFERENTIAL-EQUATION, ADOMIAN DECOMPOSITION METHOD, NONLINEAR-WAVE EQUATIONS, BOUNDARY-VALUE-PROBLEMS, EXP-FUNCTION METHOD, SOLITON-SOLUTIONS, U(1/3) FORCE, SCHEME
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

In this article, we applied homotopy perturbation method to obtain the solution of the Korteweg-de Vries Burgers (for short, KdVB) and Lax's seventh-order KdV (for short, LsKdV) equations. The numerical results show that homotopy perturbation method can be readily implemented to this type of nonlinear equations and excellent accuracy. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 1040-1053, 2010