Numerical Solutions of Differential Equations System - Fatima, Ouaar;Ouafa, Ghedjemis
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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…mehr

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Produktbeschreibung
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.
Autorenporträt
Dr Fatima OUAAR- received an engineering degree in Statistics and a Magister diploma in Applied Mathematics and a PhD in Applied Mathematics from the Mathematics Department at Mohamed Kheider university of Biskra, She is at now an assistant professor at the same university. Her research interests include numerical analysis, applied mathematics.