<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>One of the important fluid flows is blood flow seen in hemodynamics, which is a vital process and carries many ingredients from one place to another in the interior of the body. Blood is a special suspension; it is a non-Newtonian fluid as the blood flow cannot be compressed due to the imbalance in strain force and velocity. The blood flow is modelled by various equations which are based on fundamental equations such as Korteweg-De Vries (KdV) equation, nonlinear Schrödinger type equations. Our aim in this study is that the solitary solutions of the blood flow models are obtained in explicit form via Bernoulli method which is one of the ansatz-based methods. The results will be an important role in improving the models and they will support the theoretical basis and diagnose some blood diseases.</p>
</abstract>

One of the important fluid flows is blood flow seen in hemodynamics, which is a vital process and carries many ingredients from one place to another in the interior of the body. Blood is a special suspension; it is a non-Newtonian fluid as the blood flow cannot be compressed due to the imbalance in strain force and velocity. The blood flow is modelled by various equations which are based on fundamental equations such as Korteweg-De Vries (KdV) equation, nonlinear Schrödinger type equations. Our aim in this study is that the solitary solutions of the blood flow models are obtained in explicit form via Bernoulli method which is one of the ansatz-based methods. The results will be an important role in improving the models and they will support the theoretical basis and diagnose some blood diseases.

Simulation studies on the hemodynamic model for blood flow

Faculty of Arts and Science, Department of Mathematics

International Journal of Mathematics and Computer in Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Simulation studies on the hemodynamic model for blood flow"}

One of the important fluid flows is blood flow seen in hemodynamics, which is a vital process and carries many ingredients from one place to another in the...

Simulation studies on the hemodynamic model for blood flow

Article Category: Original Study

Published Online: Jun 02, 2024

Page range: -

Received: Sep 25, 2023

Accepted: Jan 22, 2024

DOI: https://doi.org/10.2478/ijmce-2025-0007

Keywords
Forced KdV equations, nonlinear Schrödinger type equations, wave solutions

© 2025 Zehra Pınar İzgi, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Simulation studies on the hemodynamic model for blood flow

Article Category: Original Study

Published Online: Jun 02, 2024

Page range: -

Received: Sep 25, 2023

Accepted: Jan 22, 2024

DOI: https://doi.org/10.2478/ijmce-2025-0007

KeywordsForced KdV equations, nonlinear Schrödinger type equations, wave solutions

© 2025 Zehra Pınar İzgi, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Forced KdV equations, nonlinear Schrödinger type equations, wave solutions