Abstract   
            A single – phase melting moving boundary problem is formulated after a change of variable, as an parabolic variational inequality.
 
 Introduction   
            The term moving boundary problems (MBP’S) is commonly used when the boundary is associated with time dependent problems and the boundary of the domain is not known in advanced but has to be determined as a function of time and space.
  
            Heat conduction or diffusion type problems with phase change constitute a large class of (MBP’S) usually called Stefan problems. Moving boundary problems have received much attention in recent year due to their practical importance in engineering and science [1], [2], [3].
  
            The purpose of this paper is to obtain a variational inequality formulation of a single-phase melting problem.