YoVDO

Solving Ordinary Differential Equations with MATLAB

Offered By: MathWorks via MATLAB Academy

Tags

Differential Equations Courses Calculus Courses Programming Courses MATLAB Courses Numerical Methods Courses Ordinary Differential Equations Courses

Course Description

Overview

  • 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.

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

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