- Introduction: Familiarize yourself with ordinary differential equations and the course.
- What is an Ordinary Differential Equation?: Introduce ordinary differential equations and their solutions.
- Solving ODEs Numerically: Solve first order ODEs numerically using the ode45 function.
- Solving Systems of ODEs Numerically: Solve systems of first order ODEs numerically.
- Solving Higher-Order ODEs Numerically: Solve higher-order ODEs numerically.
- Next Steps: Give feedback on the course.
Solving Ordinary Differential Equations with MATLAB
Overview
Syllabus
- Course Overview
- Course Example - The Shuttle Launch
- Introducing the Differential Equation
- Solutions to Differential Equations
- Using MATLAB ODE Solvers
- Writing ODE Functions
- Obtaining a General Solution Structure
- Review - Solving ODEs Numerically
- Course Example - The SIR Model
- Implementing a First-Order System of ODEs
- Using ode45 to Solve Systems of ODEs
- Review - Solving Systems of ODEs Numerically
- Identifying Higher-Order ODEs
- Writing Higher-Order ODEs as First-Order Systems
- Solving Higher-Order ODEs with ode45
- Review - Solving Higher-Order ODEs Numerically
- Additional Resources
- Survey
Taught by
Ben Placek
