Geodesic
Approximate factorization method for two-dimensional equations in partial fractional derivatives on finite domain
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 3, pp. 63-73
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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, additive and vector-additive methods, unconditional stability.
Mots-clés : finite domain 
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N. G. Abrashina-Zhadaeva; N. S. Romanova. Approximate factorization method for two-dimensional equations in partial fractional derivatives on finite domain. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 3, pp. 63-73. http://geodesic.mathdoc.fr/item/UZKU_2009_151_3_a4/

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