Optimal Perturbation Iteration Method for Solving Nonlinear Heat Transfer Equations
No Thumbnail Available
Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Abstract
In this paper, the new optimal perturbation iteration method (OPIM) is introduced and applied for solving nonlinear differential equations arising in heat transfer. The effectiveness of the proposed method will be tested by considering two specific applications: the temperature distribution equation in a thick rectangular fin radiation to free space and cooling of a lumped system with variable specific heat. Comparing different methods shows that the results obtained by optimal perturbation iteration method are very good agreement with the numerical solutions and perform better than the most existing analytic methods. Copyright © 2017 by ASME.
Description
Keywords
Differential equations , Heat transfer , Iterative methods , Nonlinear equations , Numerical methods , Specific heat , Analytic method , Iteration method , Nonlinear differential equation , Nonlinear heat transfer , Numerical solution , Optimal perturbation , Perturbation method , Variable specific-heat , Perturbation techniques