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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
