Geodesic
Numerical simulation of blood flow in a blood vessel
Journal of computational and engineering mathematics, Tome 11 (2024) no. 4, pp. 33-39 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{JCEM_2024_11_4_a3,
     author = {A. N. Tynda and A. A. Pivkina},
     title = {Numerical simulation of blood flow in a blood vessel},
     journal = {Journal of computational and engineering mathematics},
     pages = {33--39},
     year = {2024},
     volume = {11},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2024_11_4_a3/}
}
TY  - JOUR
AU  - A. N. Tynda
AU  - A. A. Pivkina
TI  - Numerical simulation of blood flow in a blood vessel
JO  - Journal of computational and engineering mathematics
PY  - 2024
SP  - 33
EP  - 39
VL  - 11
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JCEM_2024_11_4_a3/
LA  - en
ID  - JCEM_2024_11_4_a3
ER  - 
%0 Journal Article
%A A. N. Tynda
%A A. A. Pivkina
%T Numerical simulation of blood flow in a blood vessel
%J Journal of computational and engineering mathematics
%D 2024
%P 33-39
%V 11
%N 4
%U http://geodesic.mathdoc.fr/item/JCEM_2024_11_4_a3/
%G en
%F JCEM_2024_11_4_a3
A. N. Tynda; A. A. Pivkina. Numerical simulation of blood flow in a blood vessel. Journal of computational and engineering mathematics, Tome 11 (2024) no. 4, pp. 33-39. http://geodesic.mathdoc.fr/item/JCEM_2024_11_4_a3/