In this paper we develop an artificial initial boundary value problem for the high-order heat equation in a bounded domain Ω 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 Ω.
|Number of pages||9|
|Journal||Siberian Electronic Mathematical Reports|
|Publication status||Published - Apr 23 2013|
- A high-order parabolic equation
- An artificial initial boundary value problem
- Transparent boundary conditions
ASJC Scopus subject areas