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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 3, Pages 286–294
DOI: https://doi.org/10.17516/1997-1397-2018-11-3-286-294 (Mi jsfu667) 		 
On rate of convergence of Tonelli's and weak approximation methods for loaded equations

Yuri Ya. Belov, Kirill V. Korshun

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.17516/1997-1397-2018-11-3-286-294
Abstract: We consider the Cauchy problem for a loaded partial differential equation arising in coefficient inverse problem. The convergence of Tonelli's and weak approximation methods for this problem is previously proved. In the article we will prove linear rate of convergence of given methods.
Keywords: differential equation, inverse problem, Cauchy problem, Tonelli's method, weak approximation method, convergence.
Received: 27.06.2017
Received in revised form: 05.09.2017
Accepted: 20.02.2018
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: English
Citation: Yuri Ya. Belov, Kirill V. Korshun, “On rate of convergence of Tonelli's and weak approximation methods for loaded equations”, J. Sib. Fed. Univ. Math. Phys., 11:3 (2018), 286–294
Citation in format AMSBIB
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\by Yuri~Ya.~Belov, Kirill~V.~Korshun
\paper On rate of convergence of Tonelli's and weak approximation methods for loaded equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 3
\pages 286--294
\mathnet{http://mi.mathnet.ru/jsfu667}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-3-286-294}
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