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Influence of complex coefficients on the stability of difference scheme for parabolic equations with non-local conditions

Author

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  • Sapagovas, M.
  • Meškauskas, T.
  • Ivanauskas, F.

Abstract

The stability of a finite difference scheme for Schrödinger, Kuramoto–Tsuzuki and parabolic equations, subject to non-local conditions with complex coefficients, is dealt with. The stability conditions, which have to be met by complex coefficients in non-local conditions, have been determined. The main result of this study is that complex coefficients together with non-local conditions cause new effects on the stability of difference scheme. Numerical experiment has revealed additional regularities in the stability conditions.

Suggested Citation

  • Sapagovas, M. & Meškauskas, T. & Ivanauskas, F., 2018. "Influence of complex coefficients on the stability of difference scheme for parabolic equations with non-local conditions," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 228-240.
    • Handle: RePEc:eee:apmaco:v:332:y:2018:i:c:p:228-240
    DOI: 10.1016/j.amc.2018.03.072
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    References listed on IDEAS

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    1. Merad, A. & Martín-Vaquero, J., 2016. "A Galerkin method for two-dimensional hyperbolic integro-differential equation with purely integral conditions," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 386-394.
    2. Cui, Ming Rong, 2015. "Convergence analysis of compact difference schemes for diffusion equation with nonlocal boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 227-241.
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