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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