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