Journal of Engineering Physics and Thermophysics is a translation of Inzhenerno-fizicheskii Zhurnal,
a publication of the Academic Scientific Complex "A. V. Luikov Heat and Mass Transfer Institute"
of the National Academy of Sciences of Belarus
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USE OF THE METHOD OF GREEN FUNCTIONS FOR NUMERICAL 
SOLUTION OF MULTIDIMENSIONAL STEFAN PROBLEMS

Yu. V. Zhernovyi and M. T. Saichuk

UDC 536.25:517.95

It  is  shown  that  use of an auxiliary Green function, namely, 
the Green function of the boundary-value problem for the Laplace 
operator   with  a  condition  of  the  third  kind artificially 
introduced  on  part  of the boundary, makes it possible to find 
numerical solutions of multidimensional Stefan problems with any 
boundary conditions.  The  efficiency  of the method is verified 
for a Stefan problem that has an exact solution.

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