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This article is cited in 6 scientific papers (total in 6 papers)
Boundary value problem for a first-order linear parabolic system
S. V. Gaidomak Institute of Dynamic Systems and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia
Abstract:
A boundary value problem for a linear parabolic system is considered. Sufficient conditions for the well-posedness of the problem are found. The spline collocation method on a uniform grid is used to construct a high-order accurate implicit difference scheme, and its absolute stability is proved.
Key words:
linear system of first-order parabolic equations, sufficient well-posedness conditions for boundary value problems, spline collocation method, absolute stability of difference schemes.
Received: 15.04.2013 Revised: 12.11.2013
Citation:
S. V. Gaidomak, “Boundary value problem for a first-order linear parabolic system”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014), 608–618; Comput. Math. Math. Phys., 54:4 (2014), 620–630
Linking options:
https://www.mathnet.ru/eng/zvmmf10020 https://www.mathnet.ru/eng/zvmmf/v54/i4/p608
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Abstract page: | 235 | Full-text PDF : | 69 | References: | 58 | First page: | 10 |
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