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Chapter

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Title

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

Authors

[ 1 ] Instytut Mechaniki Stosowanej, Wydział Budowy Maszyn i Zarządzania, Politechnika Poznańska | [ P ] employee

Year of publication

2014

Chapter type

paper

Publication language

english

Keywords
EN
  • interval finite difference method
  • interval arithmetic
  • vessel model of bioheat transfer
  • uncertain values of parameters
Abstract

EN 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.

Pages (from - to)

644 - 655

DOI

10.1007/978-3-642-55195-6_61

URL

https://link.springer.com/chapter/10.1007/978-3-642-55195-6_61

Book

Parallel Processing and Applied Mathematics : 10th International Conference, PPAM 2013, Warsaw, Poland, September 8-11, 2013, Revised Selected Papers, Part II

Presented on

10th International Conference on Parallel Processing and Applied Mathematics, PPAM 2013, 8-11.09.2013, Warsaw, Poland

Publication indexed in

WoS (15)

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