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.

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

Received: November 16, 2023; Accepted: March 9, 2024; Published: April 6, 2024

How to cite this article: Mahamat Saleh DAOUSSA HAGGAR, Marcel GAHAMANYI and Jean Marie NTAGANDA, Combination of perturbation and Taylor series expansions for solving mathematical model of cardiovascular-respiratory system, International Journal of Numerical Methods and Applications 24(1) (2024), 79-94. http://dx.doi.org/10.17654/0975045224006

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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