On the Approximation Methods for the Solution of a Coefficient Inverse Problem for a Transport-like Equation
Arif Amirov, Z. Ustaoglu
article (Uluslararası, Hakemli) | Yazar(lar): Arif Amirov, Z. Ustaoglu | Yıl: 2009 | Dergi/Kurum: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | İndeks: WOS.SCI | Anahtar Kelimeler: Coefficient Inverse Problem, Transport-like Equation, Finite Differences, Symbolic Approximation — Özet: We present the solvability of
We present the solvability of a two space dimensional coefficient inverse problem for a transport-like equation and investigate the approximate solution of this problem with the use of centered difference formulas and a symbolic approximation method. Since this inverse problem is overdetermined, which is the main difficulty in studying of its solvability, it is replaced by a related determined one by using some extension of the class of unknown functions.