Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Rodionov A. V. Solution of partial differential equations by the Ryabenky method. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 4, pp. 120-124. DOI: 10.18500/1816-9791-2013-13-4-120-124

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
25.11.2013
Full text:
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Language: 
Russian
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UDC: 
511.9

Solution of partial differential equations by the Ryabenky method

Autors: 
Rodionov Aleksandr Valerevich, Tula State Pedagogical University,
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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