Exact Solution of the One Phase Inverse Stefan Problem
Abstract
Exact solution of inverse one phase Stefan problem is represented in the form of linear combination
of integral error functions.Heat flux function is reconstructed and coefficients of solution function are
found exactly. Test problem was considered for engineering purposes and it was shown that by collocation
method the error for three points does not exceed 0:01%. Error estimate was calculated by maximum
principle.
of integral error functions.Heat flux function is reconstructed and coefficients of solution function are
found exactly. Test problem was considered for engineering purposes and it was shown that by collocation
method the error for three points does not exceed 0:01%. Error estimate was calculated by maximum
principle.
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