FINITE DIFFERENCE MODELS ENTIRELY INHERITING CONTINUOUS SYMMETRY OF ORIGINAL DIFFERENTIAL EQUATIONS

V.A. Dorodnitsyn
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V.A. Dorodnitsyn: Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya Pl. 4, 125047, Moscow, Russia

International Journal of Modern Physics C (IJMPC), 1994, vol. 05, issue 04, 723-734

Abstract: The present paper is concerned with continuous groups of transformations in a space of discrete variables. The criterion of invariance of difference equations together with difference grid is discussed. One simple method to construct finite-difference equations and grids entirely inheriting admitted Lie groups of transformations of initial differential models is developed.

Keywords: Transformation Group; Symmetry; Invariant Difference Scheme; Invariant Difference Grid (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1142/S0129183194000830

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