APPLICATION OF HE'S PARAMETRIZED PERTURBATION METHOD FOR NONLINEAR HEAT DIFFUSION AND HEAT TRANSFER EQUATIONS

摘要

Perturbation methods depend on small parameters which are difficult to find for real-lifenonlinear problems. He's parametrized perturbation method, which does not need smallparameters, is one of the newest analytical methods to solve nonlinear equations. Inthis letter some nonlinear heat transfer equations are used as examples to illustrate thesimple solution procedures of this method. Comparison of the results obtained by thenew method with exact solutions reveals that the method is tremendously effective.