Abstract:
In this thesis, we have homogenization of parabolic partial differential equation
using the multiple scale expansion method as its central axis. It consists of two
introductory chapters into the theory of homogenization, a section is devoted
to preliminary concepts and ideas needed to understand the core content of this
work. We also highlighted on how the multiple scale expansion technique can
be used in homogenizing elliptic partial differential equations. Finally, homogenization
of parabolic partial differential equation using the multiple scale expansion
method which is the focal point of this work was investigated and the results
presented. The rapidly oscillating coefficient of the parabolic partial differential
equation is replaced by a constant known as the homogenized coefficient.
