Abstract:
In this paper, variational iteration method is used to solve a moving boundary
problem arising during melting or freezing of a semi infinite region when
physical properties (thermal conductivity and specific heat) of the two regions
are temperature dependent. The result is compared with result obtained by exact
method (when thermal conductivity and specific heat in two regions are temperature independent) and semi analytical method (when thermal conductivity and
specific heat are temperature dependent) and are in good agreement. We obtain
the solution in the form of continuous functions. The method performs extremely
well in terms of efficiency and simplicity and effective for solving the moving
boundary problems
