Department of Mathematics,

Kocaeli University,

Umuttepe Kampusu,

41380 Kocaeli,

TURKEY

E-mail: spamuk@kou.edu.tr, spamuk_tr@yahoo.com

**The Adomian decomposition method for linear and nonlinear
problems of mathematical physics**

**Abstract:**

The particular exact solutions of the problems of
mathematical physics that usually occurs in nonlinear problems of heat
and mass transfer are obtained using Adomian's decompostion method.
Also, numerical comparison of particular solutions in the decompostion
method indicate that there is a very good agreement between the numerical
solutions and particular exact solutions in terms of efficiency and
accuracy.