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Numerical solutions for blood flow in elastic vessels
Author(s) -
Leszczyński Henryk,
Poliński Artur,
Wrzosek Monika
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6630
Subject(s) - mathematics , discretization , algebraic number , operator (biology) , flow (mathematics) , blood flow , operator splitting , numerical analysis , mathematical analysis , space (punctuation) , differential operator , scheme (mathematics) , calculus (dental) , geometry , computer science , medicine , dentistry , biochemistry , chemistry , repressor , transcription factor , gene , operating system
We consider the differential–algebraic system for the blood flow and pressure in the systemic arteries. By the operator splitting method, we transform the system into the hyperbolic one, introduce the bicharacteristics, and perform the time–space nonuniform discretization, obtaining the innovative difference scheme. Our results are illustrated with numerical experiments.