Approximate analytical solution to time-fractional damped burger and cahn-allen equations

ESEN A., YAĞMURLU N. M., Tasbozan O.

Applied Mathematics and Information Sciences, cilt.7, sa.5, ss.1951-1956, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 5
  • Basım Tarihi: 2013
  • Doi Numarası: 10.12785/amis/070533
  • Dergi Adı: Applied Mathematics and Information Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1951-1956
  • Anahtar Kelimeler: Approximate analytical solution, Fractional Cahn-Allen equation, Fractional damped burger equation, Homotopy analysis method
  • Hatay Mustafa Kemal Üniversitesi Adresli: Hayır

Özet

The aim of the present paper is to obtain the approximate analytical solutions of time-fractional damped burger and Cahn-Allen equations by means of the homotopy analysis method (HAM). In the HAM solution, there exists an auxiliary parameter h̄ which provides a convenient way to adjust and check the convergence region of the solution series. In the model problems, an appropriate choice of the auxiliary parameter has been examined for increasing values of time. © 2013 NSP Natural Sciences Publishing Cor.