Submit Paper

Article Processing Fee

Pay Online

           

Crossref logo

  DOI Prefix   10.20431


 

International Journal of Scientific and Innovative Mathematical Research
Volume 5, Issue 3, 2017, Page No: 1-8

Perturbation-Iteration Method for Solving Mathematical Model of Blood Partial Pressures in Human Cardiovascular-Respiratory System during Physical Activity

Ntaganda Jean Marie

Department of Mathematics School of Science College of Science and Technology University of Rwanda Kigali, Rwanda

Citation :Ntaganda Jean Marie, Perturbation-Iteration Method for Solving Mathematical Model of Blood Partial Pressures in Human Cardiovascular-Respiratory System during Physical Activity International Journal of Scientific and Innovative Mathematical Research 2017,5(3) : 1-8

Abstract

This paper aims at solving of a two ordinary differential models equations for cardiovascular-respiratory system using a new recent method: Perturbation Iteration method. The description of this method for different orders of derivative in the Taylor Series expansion is discussed. This method provides the solution in the form of an infinite series for ordinary differential equation. The efficiency of the method used is investigated by a comparison of Euler method and Runge Kutta. The numerical simulations of all theses three methods are implemented in Matlab. The validation has been carried out by taking the values of determinant parameters of cardiovascular-respiratory system for a 30 years old woman who is supposed to do three in regular physical activity: Walking, Jogging and Running fast. The results are in good agreement with experimental data.


Download Full paper: Click Here