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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2011, Issue 8, Pages 85–91 (Mi vyuru164)  
Programming

A parallel algorithm based on an extended Schwarz domain decomposition method for the solution of fractional evolution equations

S. Yu. Lukashchuk

Ufa State Aviation Technical University
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Abstract: An extension of the Schwarz domain decomposition method to evolution equations with fractional time derivatives is considered and its convergence is proved. The numerical scheme and scheme of parallelization for the proposed algorithm are described. An efficiency estimation of the algorithm is given.
Keywords: parallel algorithm, Schwarz domain decomposition method, fractional derivative, fractional evolution equation.
Received: 02.03.2011
Document Type: Article
UDC: 519.642
Language: Russian
Citation: S. Yu. Lukashchuk, “A parallel algorithm based on an extended Schwarz domain decomposition method for the solution of fractional evolution equations”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, no. 8, 85–91
Citation in format AMSBIB
\Bibitem{Luk11}
\by S.~Yu.~Lukashchuk
\paper A parallel algorithm based on an extended Schwarz domain decomposition method for the solution of fractional evolution equations
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2011
\issue 8
\pages 85--91
\mathnet{http://mi.mathnet.ru/vyuru164}
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