Modified iteration method for solving fractional gas dynamics equation

NAJAFİ R., Kucuk G. D., ÇELİK E.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.40, sa.4, ss.939-946, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1002/mma.4023
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.939-946
  • Anahtar Kelimeler: new iteration method, laplace transform, fractional gas dynamics equation, Caputo derivative, HOMOTOPY PERTURBATION METHOD, ADOMIAN DECOMPOSITION, CONVERGENCE
  • Atatürk Üniversitesi Adresli: Evet

Özet

This paper is devoted to the time-fractional gas dynamics equation with Caputo derivative. Fractional operators are very natural tools to model memory-dependent phenomena. Modified iteration method is proposed to obtain the approximate and analytical solution of the fractional gas dynamics equation. This method is a combined form of the newiteration method and Laplace transform. Modified iteration method really is powerful and simple method compared with other methods. Existence and uniqueness of solution are proven. Numerical results for different cases of the equation are obtained. Copyright (C) 2016 JohnWiley & Sons, Ltd.