Modelling with Fourier series

1 Modelling with Fourier series

The main teaching text of this unit is provided in the workbook below. The answers to the exercises that you'll find throughout the workbook are given in the answer book. You can access it by clicking on the link under the workbook.

Click 'View document' to open the workbook (PDF, 0.6 MB).

Click 'View document' to open the answerbook (PDF, 0.2 MB).

Workbook contents

• Introduction

• 1 Modelling using the wave equation

  • 1.1 The taut string

  • 1.2 Adding damping

• 2 Modelling using the diffusion equation

  • 2.1 The insulated rod

  • 2.2 The convecting rod

• 3 Separating the variables

  • 3.1 Normal modes

  • 3.2 The initial displacement

  • 3.3 The damped plucked string

• 4 Solving the heat transfer problems

  • 4.1 The insulated rod problem solved

  • 4.2 The convecting rod problem solved

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