Cite this article as:
Rodionov A. V. Solution of partial differential equations by the Ryabenky method . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 4, pp. 120-124. DOI: https://doi.org/10.18500/1816-9791-2013-13-4-120-124
Language:
Russian
Heading:
UDC:
511.9
Solution of partial differential equations by the Ryabenky method
Abstract:
The paper discusses the generalizations of the method Ryabenky approximate solutions of partial differential equations to the case of the use of arbitrary distributions Parallelepipedal nets for integral lattices.
References
1. Ryabenky V. S. A method for obtaining difference schemes andthe use of nets teoretikochislovyh for solutionthe finite difference method. Tr. matem. in-ta im. V. A. Steklova. [Tr. Math. Inst. V. A. Steklov], 1961, vol. 60, pp. 232–237 (in Russian).
2. Rodionov A. V. On the method of V. S. Ryabenky – N. M. Korobov approximate solutions of partial differential equations. Chebyshevskij sbornik [Chebyshevsky collection], 2009, vol. 10, iss. 3, pp. 82–96 (in Russian).
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