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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011 Issue 5(86), Pages 104–108 (Mi vsgu83)

Mathematic Modeling

Asymptotic technique for the solution of fractional equation for ground-water contamination migration

L. I. Serbina, A. A. Vendina

Dept. of Mathematical Modelling of Geophysical Processes, Institution of Russian Academy of Sciences Scientific Research Institute of Applied Mathematics and Automation of KBSC of RAS, Nalchik, 360000, Russian Federation

Abstract: A new technique for defining ground-water asymptotic movement using specific properties of fractional derivatives is introduced in this article. Advantage of the given technique in comparison with traditional techniques used for the analysis of such processes is based on the fact that preliminary definition of contamination concentration at every moment and at each point of stabilization area is not necessary.

Keywords: fractional derivatives, asymptotic method, ground waters.

UDC: 517.958+531.72

Received: 20.10.2011
Revised: 20.10.2011



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