Analytic solution for a nonlinear problem of magneto-thermoelasticity

Jafarian A., Ghaderi P., Khalili Golmankhaneh A., Baleanu D.

Reports on Mathematical Physics, cilt.71, sa.3, ss.399-411, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/s0034-4877(13)60039-7
  • Dergi Adı: Reports on Mathematical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.399-411
  • Anahtar Kelimeler: Approximate solution, H-curve, Homotopy analysis method, Nonlinear coupled magneto-thermoelasticity, Variational iteration method
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we present a comparative study of the homotopy analysis method (HAM), the variational iteration method (VIM) and the iterative method (He's polynomials). The approximate solution of the coupled harmonic waves nonlinear magneto-thermoelasticity equations under influence of rotation is obtained. In order to control and adjust the convergence region and the rate of solution series, we show that it is possible to choose a valid auxiliary parameter h of HAM. Using the boundary and the initial conditions we select a suitable initial approximation. The results show that these methods are very efficient, convenient and applicable to a large class of problems. © 2013 Polish Scientific Publishers.