Geodesic
A parallel algorithm based on an extended Schwarz domain decomposition method for the solution of fractional evolution equations
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 85-91

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An extension of the Schwarz domain decomposition method to evolution equations with fractional time derivatives is considered and its convergence is proved. The numerical scheme and scheme of parallelization for the proposed algorithm are described. An efficiency estimation of the algorithm is given.
Keywords: parallel algorithm, Schwarz domain decomposition method, fractional derivative
Mots-clés : fractional evolution equation. 
@article{VYURU_2011_8_a9,
     author = {S. Yu. Lukashchuk},
     title = {A parallel algorithm based on an extended {Schwarz} domain decomposition method for the solution of fractional evolution equations},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {85--91},
     publisher = {mathdoc},
     number = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2011_8_a9/}
}
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S. Yu. Lukashchuk. A parallel algorithm based on an extended Schwarz domain decomposition method for the solution of fractional evolution equations. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 85-91. http://geodesic.mathdoc.fr/item/VYURU_2011_8_a9/