Optimal perturbation iteration method for Bratu-type problems

Deniz S., Bildik N.

Journal of King Saud University - Science, vol.30, no.1, pp.91-99, 2018 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.1016/j.jksus.2016.09.001
  • Journal Name: Journal of King Saud University - Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.91-99
  • Keywords: Bratu-type equations, Optimal perturbation iteration method, Perturbation methods
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.