Coefficient Stability of the Solution of a Difference Scheme Approximating a Mixed Problem for a Semilinear Parabolic Equation |
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| Authors: | P. P. Matus S. V. Lemeshevsky |
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| Affiliation: | 1.Institute of Mathematics,National Academy of Sciences of Belarus,Minsk,Belarus;2.The John Paul II Catholic University of Lublin,Lublin,Poland |
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| 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. |
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