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Stability of a nonlocal difference problem with a complex parameter

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Abstract

We consider a difference scheme for the heat equation with nonlocal boundary conditions containing a complex parameter γ. We single out stability domains in the complex γ-plane and derive a criterion for stability with respect to the initial data in the form of a condition on γ and the grid increments.

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References

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    A. V. Gulin, V. A. Morozova & N. S. Udovichenko

Authors
  1. A. V. Gulin
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  2. V. A. Morozova
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  3. N. S. Udovichenko
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Additional information

Original Russian Text © A.V. Gulin, V.A. Morozova, N.S. Udovichenko, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 8, pp. 1105–1118.

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Gulin, A.V., Morozova, V.A. & Udovichenko, N.S. Stability of a nonlocal difference problem with a complex parameter. Diff Equat 47, 1116–1129 (2011). https://doi.org/10.1134/S0012266111080064

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  • DOI: https://doi.org/10.1134/S0012266111080064

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