On linearized finite difference simulation for the model of nuclear reactor dynamics (Q2721772)

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scientific article; zbMATH DE number 1616511
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On linearized finite difference simulation for the model of nuclear reactor dynamics
scientific article; zbMATH DE number 1616511

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    9 June 2002
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    double-sweep method
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    nuclear reactor
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    difference scheme
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    box scheme
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    initial boundary value problem
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    system of integro-differential equations
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    convergence
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    On linearized finite difference simulation for the model of nuclear reactor dynamics (English)
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    The authors treat the dynamic model for one-dimensional continuous medium nuclear reactor in the form of an initial boundary value problem for a system of integro-differential equations. A linearized finite difference scheme by the method of reduction of order is derived. The unique solvability of the scheme and its unconditionally convergence are proved. At each time level only a tridiagonal system of linear algebraic equations should be solved and the double-sweep method can be used.
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