Geodesic
Numerical simulation of blood flow in a blood vessel
Journal of computational and engineering mathematics, Tome 11 (2024) no. 4, pp. 33-39

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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. 
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     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},
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     number = {4},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2024_11_4_a3/}
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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/