Open Access

ABSTRACT

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

Arif Amirov¹, Fikret Gölgeleyen¹, Ayten Rahmanova²

1 Department of Mathematics, Faculty of Arts and Sciences, Zonguldak Karaelmas University, 67100, Zonguldak, Turkey
2 Intercyb company, Azerbaycan Academy of Science, Agaev st., 9, Baku, 370141, Azerbaycan

The International Conference on Computational & Experimental Engineering and Sciences 2009, 12(4), 125-136. https://doi.org/10.3970/icces.2009.012.125

Abstract

This paper has two purposes. The first is to prove the existence and uniqueness of 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.

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Keywords

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