Optimal perturbation iteration method for Bratu-type problems

Deniz S., Bildik N.

Journal of King Saud University - Science, cilt.30, sa.1, ss.91-99, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.jksus.2016.09.001
  • Dergi Adı: Journal of King Saud University - Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.91-99
  • Anahtar Kelimeler: Bratu-type equations, Optimal perturbation iteration method, Perturbation methods
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the new optimal perturbation iteration method based on the perturbation iteration algorithms for the approximate solutions of nonlinear differential equations of many types. The proposed method is illustrated by studying Bratu-type equations. Our results show that only a few terms are required to obtain an approximate solution which is more accurate and efficient than many other methods in the literature.