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Characterization of solutions in the discretization of a parabolic equation on an infinite strip - MaRDI portal

Characterization of solutions in the discretization of a parabolic equation on an infinite strip (Q1972467)

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scientific article; zbMATH DE number 1429511
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Characterization of solutions in the discretization of a parabolic equation on an infinite strip
scientific article; zbMATH DE number 1429511

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    Characterization of solutions in the discretization of a parabolic equation on an infinite strip (English)
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    6 December 2000
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    A time-dependent initial-boundary value problem for an one-dimensional parabolic equation on an infinite strip (in respect with the space variable) is considered. A second-order two-level difference scheme is presented. It is shown that to satisfy zero boundary conditions at infinity, a two-term recurrence can be used. It allows one to change an infinite grid by a finite one.
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    parabolic equation
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    truncation of infinite grid
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    initial-boundary value problem
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    two-level difference scheme
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