Email this article Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations
- Authors: Matus P.P.1,2, Poliakov D.B.1,2
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Affiliations:
- Institute of Mathematics
- The John Paul II Catholic University of Lublin
- Issue: Vol 53, No 7 (2017)
- Pages: 964-973
- Section: Numerical Methods
- URL: https://journal-vniispk.ru/0012-2661/article/view/154491
- DOI: https://doi.org/10.1134/S0012266117070126
- ID: 154491
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Abstract
For a linearized finite-difference scheme approximating the Dirichlet problem for a multidimensional quasilinear parabolic equation with unbounded nonlinearity, we establish pointwise two-sided solution estimates consistent with similar estimates for the differential problem. These estimates are used to prove the convergence of finite-difference schemes in the grid L2 norm.
About the authors
P. P. Matus
Institute of Mathematics; The John Paul II Catholic University of Lublin
Author for correspondence.
Email: matus@im.bas-net.by
Belarus, Minsk, 220072; Lublin, 20-950
D. B. Poliakov
Institute of Mathematics; The John Paul II Catholic University of Lublin
Email: matus@im.bas-net.by
Belarus, Minsk, 220072; Lublin, 20-950
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