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.
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