Email this article Coefficient Stability of the Solution of a Difference Scheme Approximating a Mixed Problem for a Semilinear Parabolic Equation
- Authors: Matus P.P.1,2, Lemeshevsky S.V.1
-
Affiliations:
- Institute of Mathematics
- The John Paul II Catholic University of Lublin
- Issue: Vol 54, No 7 (2018)
- Pages: 929-937
- Section: Numerical Methods
- URL: https://journals.rcsi.science/0012-2661/article/view/154791
- DOI: https://doi.org/10.1134/S0012266118070108
- ID: 154791
Cite item
Open Access
Access granted
Subscription Access
Abstract
We study the coefficient stability of a difference scheme approximating a mixed problem for a one-dimensional semilinear parabolic equation. We obtain sufficient conditions on the input data under which the solutions of the differential and difference problems are bounded. We also obtain estimates of perturbations of the solution of a linearized difference scheme with respect to perturbations of the coefficients; these estimates agree with the estimates for the differential problem.
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
S. V. Lemeshevsky
Institute of Mathematics
Email: matus@im.bas-net.by
Belarus, Minsk, 220072
Supplementary files
