The Moving Boundary Problem of Heat-Conduction Equation

Abstract:

      The heat-conduction problem is often a movable boundary problem under the high temperature. A minute description of the method used to solve the moving boundary problem which is attached to the phsyical process such as gradual burning of a wire is give in [1]. This paper gives a necessary and sufficient condition under which the movable boundary problem of general heat-conduction eqation has Fourier form solution, and presents the solution of. the problem.