Open AccessRunge-kutta Numerical Method for Solving Nonlinear Influenza Model
Author(s) -
Shatha Jabbar Mohammed,
Maha A. Mohammed
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1879/3/032040
Subject(s) - runge–kutta methods , ode , ordinary differential equation , nonlinear system , mathematics , initial value problem , epidemic model , differential equation , computer science , mathematical analysis , physics , medicine , population , quantum mechanics , environmental health
The main object of this study is to solve a system of nonlinear ordinary differential equations (ODE) of the first order governing the epidemic model using numerical methods. The application under study is a mathematical epidemic model which is the influenza model at Australia in 1919. Runge-kutta methods of order 4 and of order 45 for solving this initial value problem(IVP) problem have been used. Finally, the results obtained have been discussed tabularly and graphically.