Approximate Lie group analysis of finite-difference equations

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm

Volumn 3, Issue 4, 1997, Pages 483-508

  Latypov, A M ^a  

^a UNIVERSITY OF WINDSOR   (Canada)

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[No Author keywords available]

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EID: 0347092900     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. t = 0, Differential Equations, 24(7), pp.719-728.
2. Baikov, V. A., Gazizov, R. K. and Ibragimov, N. H. 1989 Perturbations Methods in Group Analysis, in Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya, 34, VINITI, Moscow. (In Russian).
3. Ibragimov, N. H., ed. 1994 CRC Handbook of Lie Group Analysis of Differential Equations, Vol 1, Ch.17, "Symmetry of Finite-Difference Equations", Boca Raton, Florida, CRC Press, Inc.
4. Dorodnitsyn, V. A. 1989 Transformation Groups in Mesh Spaces, in Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya, 34, VINITI, Moscow. (In Russian, English translation in J. Soviet Math., 55(1), 1490, (1991).)
5. Dorodnitsyn, V. A. 1989 Transformation Groups in Mesh Spaces, in Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Noveishie Dostizheniya, 34, VINITI, Moscow. (In Russian, English translation in J. Soviet Math., 55(1), 1490, (1991).)
6. Maeda, S. 1987 The Similarity Method for Difference Equations, IMA J. Appl. Math., 38, pp. 129-134.
7. Olver, P. J. 1986 Application of Lie Groups to Differential Equations, Berlin: Springer-Verlag.
8. Shokin, Yu. I. 1983 The Method of Differential Approximation, Berlin: Springer-Verlag.
9. Levi, D. and Winternitz, P. 1991 Continuous Symmetries of Discrete Equations, Phys. Lett. A, 152(7), pp. 335-338.