The steady temperature distributions with different types of nonlinearities

Konuralp A.

Computers and Mathematics with Applications, cilt.58, sa.11-12, ss.2152-2159, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 11-12
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.camwa.2009.03.007
  • Dergi Adı: Computers and Mathematics with Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2152-2159
  • Anahtar Kelimeler: The variational iteration method, Two-point boundary value problem, Strongly nonlinear problem, Exponential nonlinearity, Trigonometric nonlinearity, Thermal conductivity
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

The nonlinear two-point boundary value problems are solved and the steady temperature distributions in a rod are found by considering different types of the nonlinear parts of the problems, particularly in the polynomial, exponential and trigonometric forms. In this paper, with the aid of some transformations the variational iteration method's scheme is reproduced for the nonlinear problems including two-point boundary value problems. The illustrative related problems are solved by means of the method scheme. © 2009 Elsevier Ltd. All rights reserved.