Module 3: Ordinary Differential Equations

Overview

Many engineering problems can be most easily described by how something is changing with respect to another parameter. For example, the temperature of an object can be described as it changes with time, or with the length from its centre. These types of equations can be categorized as ordinary differential equations (ODE) and partial differential equations (PDE). This module will only focus on ODEs and will compare ODE solvers such and Euler’s method and RK4 in terms of efficiency and accuracy. At the end of the module the coupled system of ODEs will be introduced and solved. A system of ODEs are numerous ODEs that are linked together such as how the temperature and pressure change of a reactor change with respect to time.

Learning Objectives

At the end of this module, you will be able to:

  • ODE|LO|01: Identify an ordinary differential equation.
  • ODE|LO|02: Solve an ODE using 1st and 2nd order methods. 
  • ODE|LO|03: Solve an ODE with higher order Methods.
  • ODE|LO|04: Solve a system of ODEs.

Knowledge Test

Before you jump into the module, complete this test to learn what concepts you will learn in this module.