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Convergence of Finite Difference Method for Parabolic Problem with Variable Operator

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Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

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Abstract

In this paper we consider the first initial-boundary value problem for the heat equation with variable coefficients in the domain (0, 1)2 × (0, T]. We assume that the solution of the problem and the coefficients of equation belong to the corresponding anisotropic Sobolev spaces. Convergence rate estimates consistent with the smoothness of the data are obtained.

Supported by MST of Republic of Serbia, grant number 04M03/C

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References

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Author information

Authors and Affiliations

  1. Faculty of Science, University of Kragujevac, Radoja Domanovića 12, 34000, Kragujevac, Yugoslavia

    Dejan Bojović

Authors
  1. Dejan Bojović
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Rousse, 7000, Rousse, Bulgaria

    Lubin Vulkov  & Plamen Yalamov  & 

  2. UNI-C,Danish Computing Center for Research and Education, DTU,Building 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2001 Springer-Verlag Berlin Heidelberg

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Bojović, D. (2001). Convergence of Finite Difference Method for Parabolic Problem with Variable Operator. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_14

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  • DOI: https://doi.org/10.1007/3-540-45262-1_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

  • eBook Packages: Springer Book Archive

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