An analytic shooting-like approach for the solution of nonlinear boundary value problems

Turkyilmazoglu M.

MATHEMATICAL AND COMPUTER MODELLING, cilt.53, ss.1748-1755, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.mcm.2010.12.053
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1748-1755
  • Hacettepe Üniversitesi Adresli: Hayır

Özet

In this paper a novel approach is presented for an analytic approximate solution of nonlinear differential equations with boundary conditions. By converting the nonlinear problem into an initial value form, a shooting-like procedure is introduced based on the powerful homotopy analysis technique. The proposed methodology is shown to work adequately for solving single or multiple solutions of some sample nonlinear boundary value problems. (C) 2010 Elsevier Ltd. All rights reserved.