ASSESSMENT OF HOMOTOPY PERTURBATION METHOD IN NONLINEAR CONVECTIVE-RADIATIVE NON-FOURIER CONDUCTION HEAT TRANSFER EQUATION WITH VARIABLE COEFFICIENT

Abstract

Analytical solutions play a very important role in heat transfer. In this paper, the He's homotopy perturbation method (HPM) has been applied to nonlinear convective-radiative non-Fourier conduction heat transfer equation with variable specific heat coefficient. The concept of the He's homotopy perturbation method are introduced briefly for applying this method for problem solving. The results of HPM as an analytical solution are then compared with those derived from the established numerical solution obtained by the fourth order Runge-Kutta method in order to verify the accuracy of the proposed method. The results reveal that the HPM is very effective and convenient in predicting the solution of such problems, and it is predicted that HPM can find a wide application in new engineering problems.

Keywords

Dates

  • Submission Date2011-01-09
  • Revision Date2011-07-01
  • Acceptance Date2011-08-18

DOI Reference

10.2298/TSCI110109082T

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