Skip to content

Modelling with Fourier series

Free CourseFree Course

This free course, Modelling with Fourier series, shows how partial differential equations can be used to model phenomena such as waves and heat transfer. The prerequisite requirements to gain full advantage from this free course are an understanding of ordinary differential equations and basic familiarity with partial differential equations.

After studying this unit you should be able to:

  • understand how the wave and diffusion partial differential equations can be used to model certain systems;
  • determine appropriate simple boundary and initial conditions for such models;
  • find families of solutions for the wave equation, damped wave equation, diffusion equation and similar homogeneous linear second-order partial differential equations, subject to simple boundary conditions, using the method of separating the variables;
  • combine solutions of partial differential equations to satisfy given initial conditions by finding the coefficients of a Fourier series.

By: The Open University

  • Duration 16 hours
  • Updated Thursday 6th March 2014
  • Intermediate level
  • Posted under Mathematics Education
Share on Google Plus Share on LinkedIn Share on Reddit View article Comments
Print

Study this free course

Enrol to access the full course, get recognition for the skills you learn, track your progress and on completion gain a statement of participation to demonstrate your learning to others. Make your learning visible!

Modelling with Fourier series

Introduction

Unit image

This unit shows how partial differential equations can be used to model phenomena such as waves and heat transfer. The prerequisite requirements to gain full advantage from this unit are an understanding of ordinary differential equations and basic familiarity with partial differential equations.

This free course is an adapted extract from the Open University course MST209 Mathematical methods and models, which is no longer taught by the University. If you want to study formally with us, you may wish to explore other courses we offer in this subject area [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)]

Tags, Ratings and Social Bookmarking

Ratings

Your rating None. Average rating 5 out of 5, based on 1 rating

Share

MST209_10