Filtreler
An inverse problem for the general kinetic equation and a numerical method

Amirov A. | Gölgeleyen F. | Rahmanova A.

Article | 2009 | CMES - Computer Modeling in Engineering and Sciences43 ( 2 ) , pp.131 - 147

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.© 2009 Tech Science Press.

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

Golgeleyen F. | Amirov A.

Article | 2011 | Mathematical Communications16 ( 1 ) , pp.283 - 298

In this paper, the existence, uniqueness and stability of the solution of a co-efficient 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. © 2011 Department of Mathematics, University of Osijek.

Solvability of an inverse problem for the kinetic equation and a symbolic algorithm

Amirov A. | Gölgeleyen F.

Article | 2010 | CMES - Computer Modeling in Engineering and Sciences65 ( 2 ) , pp.179 - 190

In this work, we derive the solvability conditions for an inverse problem for the kinetic equation and develop a new symbolic algorithm to obtain the approximate solution of the problem. The computational experiments show that proposed method provides highly accurate numerical solutions even subjecting to a large noise in the given data. Copyright © 2010 Tech Science Press.

On the solution of a coefficient inverse problem for the non-stationary kinetic equation

Yildiz M.

Article | 2009 | CMES - Computer Modeling in Engineering and Sciences45 ( 2 ) , pp.141 - 154

The solvability conditions of an inverse problem for the non-stationary kinetic equation is formulated and a new numerical method is developed to obtain the approximate solution of the problem. A comparison between the approximate solution and the exact solution of the problem is presented. Copyright © 2009 Tech Science Press.

6698 sayılı Kişisel Verilerin Korunması Kanunu kapsamında yükümlülüklerimiz ve çerez politikamız hakkında bilgi sahibi olmak için alttaki bağlantıyı kullanabilirsiniz.

creativecommons
Bu site altında yer alan tüm kaynaklar Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.
Platforms