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Convergence of a Factorized Finite Difference Scheme for a Parabolic Transmission Problem

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Numerical Analysis and Its Applications (NAA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

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Abstract

In this paper, we consider a non-standard parabolic transmission problem in disjoint domains. A priori estimate for its weak solution in appropriate Sobolev-like space is proved. The convergence of a factorized finite difference scheme approximating this problem is analyzed.

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Acknowledgement

The research of authors was supported by Ministry of Education, Science and Technological Development of Republic of Serbia under project 174015.

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Authors and Affiliations

  1. Faculty of Construction Management, University “Union-Nikola Tesla”, Cara Dušana 62-64, Belgrade, Serbia

    Zorica Milovanović Jeknić

  2. Faculty of Mathematics, University of Belgrade, Studentski trg 16, Belgrade, Serbia

    Boško Jovanović

Authors
  1. Zorica Milovanović Jeknić
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  2. Boško Jovanović
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Corresponding author

Correspondence to Zorica Milovanović Jeknić .

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Editors and Affiliations

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

    Ivan Dimov

  2. Department of Applied Analysis, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. Department of Applied Mathematics and Statistics, University of Rousse, Ruse, Bulgaria

    Lubin Vulkov

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Jeknić, Z.M., Jovanović, B. (2017). Convergence of a Factorized Finite Difference Scheme for a Parabolic Transmission Problem. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_41

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  • DOI: https://doi.org/10.1007/978-3-319-57099-0_41

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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