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Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2015, Volume 7, Issue 3, Pages 39–47 (Mi vyurm264)  

Mathematics

Error estimation of approximate solution of integral equation by residual method

A. I. Sidikovaa, E. Yu. Vishnyakova, A. A. Ershovab

a South Ural State University
b Chelyabinsk State University

Abstract: Error estimation of approximate solution is obtained for integral equation by residual method. Discretization of integral equation is performed and discretization error is estimated.

Keywords: regularity, module of continuity, error estimation, ill-posed problem, residual principle.

Full text: PDF file (264 kB)
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UDC: 517.948
Received: 24.03.2015

Citation: A. I. Sidikova, E. Yu. Vishnyakov, A. A. Ershova, “Error estimation of approximate solution of integral equation by residual method”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:3 (2015), 39–47

Citation in format AMSBIB
\Bibitem{SidVisErs15}
\by A.~I.~Sidikova, E.~Yu.~Vishnyakov, A.~A.~Ershova
\paper Error estimation of approximate solution of integral equation by residual method
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2015
\vol 7
\issue 3
\pages 39--47
\mathnet{http://mi.mathnet.ru/vyurm264}
\elib{https://elibrary.ru/item.asp?id=23730239}


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