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On transparent boundary conditions for the high--order heat equation
Preprint
2013-02-06
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Abstract
In this paper we develop an artificial initial boundary value problem for the high-order heat equation in a bounded domain \(\Omega\). It is found an unique classical solution of this problem in an explicit form and shown that the solution of the artificial initial boundary value problem is equal to the solution of the infinite problem (Cauchy problem) in \(\Omega\).