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An Inverse Problem for the General Kinetic Equation and a Numerical Method

Arif Amirov1, Fikret Gölgeleyen1, Ayten Rahmanova2
Department of Mathematics, Faculty of Arts and Sciences, Zonguldak Karaelmas University, 67100, Zonguldak, Turkey.
Intercyb Company, Azerbaican Academy of Science, Agaev st., 9, Baku, 370141, Azerbaijan.

Computer Modeling in Engineering & Sciences 2009, 43(2), 131-148. https://doi.org/10.3970/cmes.2009.043.131

Abstract

This paper has two purposes. The first is to prove existence and uniqueness theorems for the solution of an inverse problem for the general linear kinetic equation with a scattering term. The second one is to develop a numerical approximation method for the solution of this inverse problem for two dimensional case using finite difference method.

Keywords

Inverse Problem, Kinetic Equation, Solvability of the Problem, Finite Difference Method.

Cite This Article

Amirov, A., Gölgeleyen, F., Rahmanova, A. (2009). An Inverse Problem for the General Kinetic Equation and a Numerical Method. CMES-Computer Modeling in Engineering & Sciences, 43(2), 131–148.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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