Journal of Computational and Engineering Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Comp. Eng. Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Journal of Computational and Engineering Mathematics, 2024, Volume 11, Issue 4, Pages 33–39
DOI: https://doi.org/10.14529/jcem240404 (Mi jcem269) 		 
Computational Mathematics

Numerical simulation of blood flow in a blood vessel

A. N. Tynda, A. A. Pivkina

Penza State University
Full-text PDF (515 kB)
DOI: https://doi.org/10.14529/jcem240404
Abstract: The paper proposes a finite-difference method for solving a boundary value problem for a hyperbolic equation describing the movement of blood in a blood vessel. The stability conditions of the method are given, and numerical results are presented. The method allows to track the amplitude and frequency of heartbeats in various modes, and a numerical model can be used in the study of atrial fibrillation.
Keywords: nonlinear hyperbolic PDE, hydrodynamics of blood circulation, finite-difference method.
Received: 01.12.2024
Document Type: Article
UDC: 519.6
MSC: 65N05
Language: English
Citation: A. N. Tynda, A. A. Pivkina, “Numerical simulation of blood flow in a blood vessel”, J. Comp. Eng. Math., 11:4 (2024), 33–39
Citation in format AMSBIB
\Bibitem{TynPiv24}
\by A.~N.~Tynda, A.~A.~Pivkina
\paper Numerical simulation of blood flow in a blood vessel
\jour J. Comp. Eng. Math.
\yr 2024
\vol 11
\issue 4
\pages 33--39
\mathnet{http://mi.mathnet.ru/jcem269}
\crossref{https://doi.org/10.14529/jcem240404}
Linking options:
  • https://www.mathnet.ru/eng/jcem269
  • https://www.mathnet.ru/eng/jcem/v11/i4/p33
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Journal of Computational and Engineering Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025