Geodesic
Numerical method for solving the local problem
News of the Kabardin-Balkar scientific center of RAS, no. 5 (2018), pp. 34-43

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The paper considers a parabolic equation with variable coefficients with a fractional derivative with respect to time, when a concentrated heat capacity of a certain value is placed on the boundary of the region. A priori estimates in the differential and difference interpretations are obtained. Numerical calculations using the sweep method are conducted.
Keywords: fractional order derivative, solution stability, prior estimate, stability of the difference scheme. 
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     author = {F. M. Nakhusheva and M. M. Lafisheva and M. M. Karmokov and M. A. Dzhankulaeva},
     title = {Numerical method for solving the local problem},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {34--43},
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     year = {2018},
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     url = {http://geodesic.mathdoc.fr/item/IZKAB_2018_5_a4/}
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F. M. Nakhusheva; M. M. Lafisheva; M. M. Karmokov; M. A. Dzhankulaeva. Numerical method for solving the local problem. News of the Kabardin-Balkar scientific center of RAS, no. 5 (2018), pp. 34-43. http://geodesic.mathdoc.fr/item/IZKAB_2018_5_a4/