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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 219, Pages 81–93
(Mi znsl5987)
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On patterns of the method of lines of high accuracy for some two-dimensional parabolic equations
A. P. Kubanskaya St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Abstract:
An application of the method of lines to the first mixed problem for two-dimensional half-linear and linear parabolic equations denned in a cylindrical domain with a rectangular foundation is considered. For the half-linear equation the scheme of an accuracy $O(h^3)$ is constructed. For the linear equation with the coefficients being functions only of time $t$ the scheme of any accuracy for corresponding accuracy of approximation is constructed. Bibliography: 7 titles.
Received: 29.03.1994
Citation:
A. P. Kubanskaya, “On patterns of the method of lines of high accuracy for some two-dimensional parabolic equations”, Computational methods and algorithms. Part X, Zap. Nauchn. Sem. POMI, 219, POMI, St. Petersburg, 1994, 81–93; J. Math. Sci. (New York), 86:4 (1997), 2857–2865
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https://www.mathnet.ru/eng/znsl5987 https://www.mathnet.ru/eng/znsl/v219/p81
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Abstract page: | 80 | Full-text PDF : | 36 |
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