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On the approximate solution of a coefficient inverse problem for the kinetic equation

Fikret Golgeleyen ; Department of Mathematics, Z. Karaelmas University, Zonguldak, Turkey
Arif Amirov ; Department of Mathematics, Z. Karaelmas University, Zonguldak, Turkey


Puni tekst: engleski pdf 835 Kb

str. 283-298

preuzimanja: 809

citiraj


Sažetak

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 diffe ent 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.

Ključne riječi

coefficient inverse problem; kinetic equation; finite difference approximation; symbolic computation

Hrčak ID:

68644

URI

https://hrcak.srce.hr/68644

Datum izdavanja:

10.6.2011.

Posjeta: 1.332 *