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 
@article{UZKU_2009_151_3_a4,
     author = {N. G. Abrashina-Zhadaeva and N. S. Romanova},
     title = {Approximate factorization method for two-dimensional equations in partial fractional derivatives on finite domain},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {63--73},
     publisher = {mathdoc},
     volume = {151},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_3_a4/}
}
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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/