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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. 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

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.

UDC: 519.63

Received: 23.07.2008
Revised: 12.12.2008



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