Boundary value problem for a first-order linear parabolic system

被引:0
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作者
S. V. Gaidomak
机构
[1] Russian Academy of Sciences,Institute of Dynamic Systems and Control Theory, Siberian Branch
关键词
linear system of first-order parabolic equations; sufficient well-posedness conditions for boundary value problems; spline collocation method; absolute stability of difference schemes;
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摘要
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.
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页码:620 / 630
页数:10
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