Abstract

In this study, diffusion equation for composite materials was examined using a well-known Adomian Decomposition Method (ADM). Defining variable conductivity and heat capacity as an exponential function or a power function that represents Functionally Graded Materials (FGMs), one-dimensional diffusion equation with non-homogeneous boundary conditions was examined. First, using standard superposition method the diffusion equation is turned into non-homogeneous one with homogeneous boundary conditions. Then, using generalized Fourier series expansion, the resultant PDE is solved by using ADM. The results are compared with the solution obtained by eigenfunction expansion method.

Key words: Heat conduction, adomian decomposition method, functionally graded materials, eigenfunction expansion.