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On the Solution of an Inverse Problem for an Integro-differential Transport Equation
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
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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.Keywords
Inverse Problem, Scattering Term, Curvature, Transport Equation, Finite Difference Method.
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APA Style
Gölgeleyen, I. (2010). On the Solution of an Inverse Problem for an Integro-differential Transport Equation. Computer Modeling in Engineering & Sciences, 64(1), 71–90. https://doi.org/10.3970/cmes.2010.064.071
Vancouver Style
Gölgeleyen I. On the Solution of an Inverse Problem for an Integro-differential Transport Equation. Comput Model Eng Sci. 2010;64(1):71–90. https://doi.org/10.3970/cmes.2010.064.071
IEEE Style
I. Gölgeleyen, “On the Solution of an Inverse Problem for an Integro-differential Transport Equation,” Comput. Model. Eng. Sci., vol. 64, no. 1, pp. 71–90, 2010. https://doi.org/10.3970/cmes.2010.064.071
Copyright © 2010 The Author(s). Published by Tech Science Press.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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