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On the Solution of an Inverse Problem for an Integro-differential Transport Equation

Ismet Gölgeleyen1

Department of Mathematics, Faculty of Arts and Sciences, Zonguldak Karaelmas University, 67100, Zonguldak, Turkey, ismet.golgeleyen@karaelmas.edu.tr

Computer Modeling in Engineering & Sciences 2010, 64(1), 71-90. https://doi.org/10.3970/cmes.2010.064.071

Abstract

In this paper, the solvability conditions for an inverse problem for an integro-differential transport equation are obtained and a numerical approximation method based on the finite difference method is developed. A comparison between the numerical solution and the exact solution of the problem is presented. Experimental results show that proposed method is robust to data noises.

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Gölgeleyen, I. (2010). On the Solution of an Inverse Problem for an Integro-differential Transport Equation. CMES-Computer Modeling in Engineering & Sciences, 64(1), 71–90.



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