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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2009, Volume 151, Book 3, Pages 63–73 (Mi uzku786)  

Approximate factorization method for two-dimensional equations in partial fractional derivatives on finite domain

N. G. Abrashina-Zhadaeva, N. S. Romanova

Belarusian State University, Minsk
References:
Abstract: Approximate factorization schemes and vector-additive algorithms are offered for numerical modelling of two-dimensional differential equations in partial derivatives of fractional orders on finite domain. The stability of these schemes is proved. Theoretical results are validated by a numerical example.
Keywords: fractional order partial derivatives, Dirichlet problem, finite domain, additive and vector-additive methods, unconditional stability.
Received: 23.07.2008
Revised: 12.12.2008
Document Type: Article
UDC: 519.63
Language: Russian
Citation: N. G. Abrashina-Zhadaeva, N. S. Romanova, “Approximate factorization method for two-dimensional equations in partial fractional derivatives on finite domain”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 3, Kazan University, Kazan, 2009, 63–73
Citation in format AMSBIB
\Bibitem{AbrRom09}
\by N.~G.~Abrashina-Zhadaeva, N.~S.~Romanova
\paper Approximate factorization method for two-dimensional equations in partial fractional derivatives on finite domain
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2009
\vol 151
\issue 3
\pages 63--73
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku786}
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