Diffusion in graded materials by decomposition method

Scientific Research and Essays

Ali Sahin¹ 

关键词:  ;    Heat conduction;    adomian decomposition method;    functionally graded materials;    eigenfunction expansion.;   

DOI  :  10.5897/SRE11.246

学科分类：社会科学、人文和艺术（综合）

来源: Academic Journals

【 摘 要 】

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.

【 授权许可】

CC BY