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Article information
2012 , Volume 17, ¹ 1, p.57-68
Kazakov A.L., Lempert A.A.
Analytical and numerical investigation of a nonlinear filtration boundary-value problem with degeneration
A nonlinear filtration for diffusion or heat conduction in the formulation of boundary-value problem for a parabolic PDE with degeneration is studied. For power dependence of the density of the filtration coefficient, local analytic solutions are constructed. These solutions have the form of power series. Thus results by A.F. Sidorov and his colleagues are further developed. Numerical calculations are performed using both the truncated power series and the proposed difference scheme.
[full text]
Keywords: nonlinear filtration equation, boundary-value problem, analytical solution, difference scheme
Author(s):
Kazakov Alexander Leonidovich
Dr. , Associate Professor
Position: General Scientist
Office: Institute of System Dynamics and Control Theory SB RAS
Address: 664033, Russia, Irkutsk, 34 Lermontov St.
Phone Office: (3952)453033
E-mail: kazakov@icc.ru
Lempert Anna Ananievna
PhD.
Position: Research Scientist
Office: Institute of System Dynamics and Control Theory SB RAS
Address: 664033, Russia, Irkutsk, 34 Lermontov St.
Phone Office: (3952)453030
E-mail: lempert@icc.ru
Bibliography link:
Kazakov A.L., Lempert A.A. Analytical and numerical investigation of a nonlinear filtration boundary-value problem with degeneration // Computational technologies. 2012. V. 17. ¹ 1. P. 57-68
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