Degree Name

Doctor of Philosophy


Department of Mathematics


This thesis is concerned with the development, generahzation and apphcation of a formal series technique for classical one-dimensional moving boundary diffusion problems. The solution procedure consists of two major steps. Firstly, the introduction of a boundary fixing transformation, which fixes the moving boundary and simplifies the transformed equations. Secondly, the assumption of a formal series solution which leads to a system of ordinary differential equations for the unknown coefficients in the series. The method generalizes to multi-phase and heterogeneous moving boundary problems for both constant temperature and Newton's radiation conditions and yields simple and highly accurate estimates for both the temperature and boundary motion.



Unless otherwise indicated, the views expressed in this thesis are those of the author and do not necessarily represent the views of the University of Wollongong.