Inverse Conduction Problem for a Parabolic Equation using a Boundary   Integral Method
  In this paper, a boundary integral method is used to solve an inverse linear heat conduction problem in two-dimensional bounded domain. An inverse problem of measuring the heat flux from partial (on part of the boundary) dynamic boundary measurements is considered. An algorithm is given by using the fundamental solution. 
Daveau Christian, Khelifi Abdessatar, Shamma M. Nour