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.
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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