Alguns métodos numéricos para equações diferenciais ordinárias e aplicações

Abstract

In this work, we study some basic concepts of ordinary differential equations, as well as numerical methods for solving equations, and systems of equations, first order ordinary differentials. In addition to numerical methods, this work studies concepts of convergence and stability, both in “small” and “large” intervals. Some examples are also covered so that we have knowledge of the best method to be used in different situations. However, the main application in this work is to approximate the solution of the Lotka-Volterra equations and the solution of a system of equations involving Compartmental Analysis.