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 Tr. Inst. Mat., 2010, Volume 18, Number 2, Pages 115–124 (Mi timb23)

Stability of an explicit method for one quasilinear parabolic equation

R. M. Yakubuk

Belarusian State University

Abstract: Stability of an explicit difference scheme for initial boundary value problem for quasilinear parabolic equation has been investigated. For some types of nonlinear diffusion coefficient the restrictions on the input data (initial and boundary conditions, the right-hand side) have been obtained under which the scheme is stable.

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Bibliographic databases:
UDC: 519.63

Citation: R. M. Yakubuk, “Stability of an explicit method for one quasilinear parabolic equation”, Tr. Inst. Mat., 18:2 (2010), 115–124

Citation in format AMSBIB
\Bibitem{Yak10} \by R.~M.~Yakubuk \paper Stability of an explicit method for one quasilinear parabolic equation \jour Tr. Inst. Mat. \yr 2010 \vol 18 \issue 2 \pages 115--124 \mathnet{http://mi.mathnet.ru/timb23} \zmath{https://zbmath.org/?q=an:1218.35016}