The numerical solution of the boundary inverse problem for a parabolic equation

• DOI: 10.1063/1.4965004
• Publication Date: 2016-10-14T00:31:12Z
• Authors: V. V. Vasil’ev; M. V. Vasilyeva; A. M. Kardashevsky
• Keywords: 0101 mathematics; 01 natural sciences

Boundary inverse problems occupy an important place among the of mathematical physics. They are connected with diagnosis, when additional measurements on one borders or inside computational domain necessary to restore boundary regime in other border, inaccessible direct measurements. The belong a class conditionally correct problems, and therefore, their numerical solution requires development special algorithms.The paper deals problem for one-dimensional second-order parabolic equations, consisting restoration according domain. For it is proposed use analogue algorithm, developed meet challenges identification right side equations works P.N.Vabishchevich his students based decomposition solving at each temporal layer. We present discuss results experiment conducted model quasi-solutions, including random errors input data.