On the approximate solution of a coefficient inverse problem for the kinetic equation
Fikret Golgeleyen, Arif Amirov
article (Uluslararası, Hakemli) | Yazar(lar): Fikret Golgeleyen, Arif Amirov | Yıl: 2011 | Dergi/Kurum: MATHEMATICAL COMMUNICATIONS | İndeks: WOS.SCI | Anahtar Kelimeler: coefficient inverse problem, kinetic equation, finite difference approximation, symbolic computation — Özet: In this paper, the existence, uniqueness
In this paper, the existence, uniqueness and stability of the solution of a coefficient inverse problem (IP) for the kinetic equation (KE) are proven. The approximate solution of this IP for one-dimensional KE is investigated using two different techniques: finite difference approximation (FDA) and symbolic computation approach (SCA). A comparison among the exact solution of the problem, the numerical solution obtained from FDA and the approximate analytical solution obtained from SCA is presented.