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Mathematical Communications, Vol. 16 No. 1, 2011.

Original scientific paper

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

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Abstract

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.

Keywords

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

Hrčak ID:

68644

URI

https://hrcak.srce.hr/68644

Publication date:

10.6.2011.

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