The approximate solution of steady temperature distribution in a rod: Two-point boundary value problem with higher order nonlinearity

Konuralp A.

Nonlinear Analysis: Real World Applications, cilt.11, sa.3, ss.1395-1401, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.nonrwa.2009.02.029
  • Dergi Adı: Nonlinear Analysis: Real World Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1395-1401
  • Anahtar Kelimeler: The variational iteration method, Two-point boundary value problem, Strongly nonlinear problem, Thermal conductivity
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

In this paper, two-point boundary value problems have been solved by the well-known variational iteration method. Considering the situation in which the nonlinear part is a polynomial function with degree of ≥ 2, the steady temperature distribution in a rod has been computed. The strongly nonlinear differential equation has been become a reduced differential equation by the aid of a proper transformation and variational iteration method has been applied to the boundary value problem. © 2009 Elsevier Ltd. All rights reserved.