Approximate Analytical Solution to Time-Fractional Damped Burger and Cahn-Allen Equations

ESEN A., YAĞMURLU N. M., TASBOZAN O.

APPLIED MATHEMATICS & INFORMATION SCIENCES, cilt.7, sa.5, ss.1951-1956, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 5
  • Basım Tarihi: 2013
  • Doi Numarası: 10.12785/amis/070533
  • Dergi Adı: APPLIED MATHEMATICS & INFORMATION SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1951-1956
  • Anahtar Kelimeler: Homotopy analysis method, Approximate analytical solution, Fractional damped burger equation, Fractional Cahn-Allen equation, HOMOTOPY ANALYSIS METHOD, KURAMOTO
  • İnönü Üniversitesi Adresli: Evet

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 (h) over bar 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.