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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 2, Pages 275–280
DOI: https://doi.org/10.7868/S0044466913020063 (Mi zvmmf9783) 		 
This article is cited in 2 scientific papers (total in 2 papers)

An iterative method for solving an inverse problem for a first-order nonlinear partial differential equation with estimates of guaranteed accuracy and the number of steps

D. V. Churbanov, A. Yu. Shcheglov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
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DOI: https://doi.org/10.7868/S0044466913020063
Abstract: For a partial differential equation simulating population dynamics, the inverse problem of determining its nonlinear right-hand side from an additional boundary condition is studied. This inverse problem is reduced to a functional equation, for which the existence and uniqueness of a solution is proven. An iterative method for solving this inverse problem is proposed. The accuracy of the method is estimated, and restrictions on the number of steps are obtained.
Key words: inverse problem, functional equation, existence and uniqueness of solution.
Received: 05.04.2012
Revised: 05.06.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 2, Pages 215–220
DOI: https://doi.org/10.1134/S096554251302005X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: D. V. Churbanov, A. Yu. Shcheglov, “An iterative method for solving an inverse problem for a first-order nonlinear partial differential equation with estimates of guaranteed accuracy and the number of steps”, Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013), 275–280; Comput. Math. Math. Phys., 53:2 (2013), 215–220
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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