Geodesic
Locally one-dimensional scheme for parabolic equation of general type with nonlocal source
News of the Kabardin-Balkar scientific center of RAS, no. 3 (2017), pp. 5-12

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In this work we consider locally one-dimensional scheme for the equation of parabolic type of the gen-eral form in p-dimensional parallelepiped. The a priori estimate for the solution of the locally one-dimensional scheme is obtained.
Keywords: boundary value problem, locally one-dimensional scheme, stability, convergence of a scheme, an a priori estimate, an approximation error. 
@article{IZKAB_2017_3_a0,
     author = {Z. V. Beshtokova},
     title = {Locally one-dimensional scheme for parabolic equation of general type with nonlocal source},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {5--12},
     publisher = {mathdoc},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2017_3_a0/}
}
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Z. V. Beshtokova. Locally one-dimensional scheme for parabolic equation of general type with nonlocal source. News of the Kabardin-Balkar scientific center of RAS, no. 3 (2017), pp. 5-12. http://geodesic.mathdoc.fr/item/IZKAB_2017_3_a0/