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Interval Finite Difference Method for Solving the Problem of Bioheat Transfer Between Blood Vessel and Tissue

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Parallel Processing and Applied Mathematics (PPAM 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8385))

Abstract

The paper concerns a problem of bioheat transfer between a single large blood vessel and a surrounding tissue. On the basis of the conventional finite difference scheme with the appropriate truncation error terms included, the interval finite difference method is proposed. The interval values that contain the local truncation error of the conventional scheme can be approximated in the way described.

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References

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Authors and Affiliations

  1. Institute of Applied Mechanics, Poznan University of Technology, Jana Pawla II 24, 60-965, Poznan, Poland

    Malgorzata A. Jankowska

Authors
  1. Malgorzata A. Jankowska
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Correspondence to Malgorzata A. Jankowska .

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Editors and Affiliations

  1. Institute of Computer and Information Science, Czestochowa University of Technology, Czestochowa, Poland

    Roman Wyrzykowski

  2. University of Tennessee, Department of Computer Science, Knoxville, Tennessee, USA

    Jack Dongarra

  3. Institute of Computer and Information Science, Czestochowa University of Technology, Czestochowa, Poland

    Konrad Karczewski

  4. Technical University of Denmark Informatics and Mathematical Modelling, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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Jankowska, M.A. (2014). Interval Finite Difference Method for Solving the Problem of Bioheat Transfer Between Blood Vessel and Tissue. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2013. Lecture Notes in Computer Science(), vol 8385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55195-6_61

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  • DOI: https://doi.org/10.1007/978-3-642-55195-6_61

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-55194-9

  • Online ISBN: 978-3-642-55195-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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