Numerical Solutions of Differential Equations System - DE

This book studies a numerical solution of a system of non-linear ordinary differential equations, as an application we select a differential system that describes the ecological phenomenon known by the Prey-Predator system, also called the Lotka-Volterra model. We illustrate the relation between the performance between the prey and the predator, their increasing and decreasing by using a numerical study because we can't solve this problem analytically. In the practical part we focus on the application of two popular numerical methods: Euler and Range Kutta forth order, using numeric computer platform Matlab. The obtained results are a periodic trajectories with two equilibrium points.

Product details

• Authors: Ouaar Fatima, Ghedjemis Ouafa
• Publisher: LAP Lambert Academic Publishing
• Languages: English
• Product format: Paperback / Softback
• Released: 03.10.2022
• EAN: 9786205508336
• ISBN: 9786205508336
• No. of pages: 52
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous