An Analytical Technique for Solving Nonlinear Heat Transfer Equations

Authors

Hossein Aminikhah, University of Guilan
Milad Hemmatnezhad, Tarbiat Modarres University

Abstract

In this paper, an analytic technique, namely the New Homotopy Perturbation Method (NHPM) is applied for solving the nonlinear differential equations arising in the field of heat transfer. In this method, the solution is considered as an infinite series expansion where converges rapidly to the exact solution. The nonlinear convective–radioactive cooling equation and nonlinear equation of conduction heat transfer with the variable physical properties are chosen as illustrative examples and the exact solutions have been found for each case.

Recommended Citation

Aminikhah, Hossein and Hemmatnezhad, Milad (2010). An Analytical Technique for Solving Nonlinear Heat Transfer Equations, Applications and Applied Mathematics: An International Journal (AAM), Vol. 5, Iss. 2, Article 4.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss2/4