International Journal of Numerical Methods and Applications

The International Journal of Numerical Methods and Applications publishes research articles on numerical methods and their applications in various fields, including differential equations, fluid dynamics, and bioinformatics. It also welcomes survey articles on new methods in numerical analysis.

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COMBINATION OF PERTURBATION AND TAYLOR SERIES EXPANSIONS FOR SOLVING MATHEMATICAL MODEL OF CARDIOVASCULAR-RESPIRATORY SYSTEM

Authors

  • Mahamat Saleh DAOUSSA HAGGAR
  • Marcel GAHAMANYI
  • Jean Marie NTAGANDA

Keywords:

perturbation iteration, Taylor expansions, algorithm, mathematical model, cardiovascular/respiratory system, numerical simulation results

DOI:

https://doi.org/10.17654/0975045224006

Abstract

This paper aims at testing the efficiency of Algorithm of Combination Perturbation Taylor Expansions (CPTE) compared with Euler method and Matlab approaches to solve mathematical model of cardiovascular-respiratory system. CPTE provides the solution in the form of an infinite series for ordinary differential equation. The numerical simulations carried out using values of determinant parameters of cardiovascular-respiratory system for a 30-year old woman who performed regularly three physical activities (walking, jogging and running fast) provide the results which are in good agreement with experimental data.

Received: November 16, 2023
Accepted: March 9, 2024

References

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Published

2024-04-06

Issue

Vol. 24 No. 1 (2024)

Section

Articles

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How to Cite

COMBINATION OF PERTURBATION AND TAYLOR SERIES EXPANSIONS FOR SOLVING MATHEMATICAL MODEL OF CARDIOVASCULAR-RESPIRATORY SYSTEM. (2024). International Journal of Numerical Methods and Applications, 24(1), 79-94. https://doi.org/10.17654/0975045224006

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