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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2009, Volume 151, Book 3, Pages 63–73
(Mi uzku786)
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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
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
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
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https://www.mathnet.ru/eng/uzku786 https://www.mathnet.ru/eng/uzku/v151/i3/p63
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Abstract page: | 553 | Full-text PDF : | 176 | References: | 64 |
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