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Difference Schemes for Delay Parabolic Equations with Periodic Boundary Conditions

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Finite Difference Methods,Theory and Applications (FDM 2014)

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Abstract

The initial-boundary value problem for the delay parabolic partial differential equation with nonlocal conditions is studied. The convergence estimates for solutions of first and second order of accuracy difference schemes in Hölder norms are obtained. The theoretical statements are supported by a numerical example.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Fatih University, Istanbul, Turkey

    Allaberen Ashyralyev

  2. ITTU, Ashgabat, Turkmenistan

    Allaberen Ashyralyev

  3. Department of Mathematics, Trakya University, Edirne, Turkey

    Deniz Agirseven

Authors
  1. Allaberen Ashyralyev
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  2. Deniz Agirseven
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Corresponding author

Correspondence to Deniz Agirseven .

Editor information

Editors and Affiliations

  1. Bulgarian Academy of Sciences, Institute of Information and Communication Technologies, Sofia, Bulgaria

    Ivan Dimov

  2. Institue of Mathematics and MTA-ELTE Numerical Analysis and Large Networks Research Group, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. University of Rousse, Rousse, Bulgaria

    Lubin Vulkov

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Ashyralyev, A., Agirseven, D. (2015). Difference Schemes for Delay Parabolic Equations with Periodic Boundary Conditions. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods,Theory and Applications. FDM 2014. Lecture Notes in Computer Science(), vol 9045. Springer, Cham. https://doi.org/10.1007/978-3-319-20239-6_13

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  • DOI: https://doi.org/10.1007/978-3-319-20239-6_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20238-9

  • Online ISBN: 978-3-319-20239-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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