jaem TWMS Journal of Applied and Engineering Mathematics 2146-1147 2587-1013 Işık University Press SOLUTION OF TWO-DIMENSIONAL HEAT AND MASS TRANSFER EQUATION WITH POWER-LAW TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY Pamuk S. Department of Mathematics, University of Kocaeli, Umuttepe Campus, 41380, Kocaeli - TURKEY. Pamuk N. Kocaeli Vocational High Scholl, University of Kocaeli, Kullar, Kocaeli - TURKEY 12 01 2014 4 2 199 208 Copyright © 2010, TWMS Journal of Applied and Engineering Mathematics 2010 TWMS Journal of Applied and Engineering Mathematics

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

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