Solution of two-dimensional heat and mass transfer equation with power-law temperature-dependent thermal conductivity

Abstract

In this paper, we obtain the particular exact solutions of the two-dimensional heat and mass transfer equation with power-law temperature-dependent thermal conductivity using the Adomian’s decomposition method. In comparison with existing techniques, the decomposition method is very effective in terms of accuracy and convergence. Also, it is an advantageous method for obtaining the solutions of non-linear differential equations without linearization and physically unrealistic assumptions. Numerical comparisons are presented in both tables and figures.