Perturbation iteration method solutions of a nonlinear fin equation

AKSOY Y., Pakdemirli M.

International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015, Rhodes, Greece, 23 - 29 September 2015, vol.1738, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1738
  • Doi Number: 10.1063/1.4952114
  • City: Rhodes
  • Country: Greece
  • Keywords: Fin Equation, Heat Transfer, Perturbation Iteration Method, Perturbation Method
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

Recently developed perturbation iteration method is successfully applied to a nonlinear fin equation. Approximate solutions are obtained using the perturbation iteration method as well as the classical perturbation method. Solutions obtained from the classical and the perturbation iteration method are compared with the numerical solutions. Perturbation iteration method yields very accurate results whereas the classical perturbation method fails to produce acceptable results for large parameters of perturbation.