# Search for tag: "pde3"

#### Hyperbolic PDE Analytical methods ConcepTest solutions

This video goes through the solutions of all ConcepTests for the hyperbolic part of this course.

From  Daniel Friedrich 0 likes 84 plays 0

#### Hyperbolic PDE Analytical methods Part 8: Boundary conditions

This video discusses the appropriate boundary and initial conditions for the wave equation.

From  Daniel Friedrich 0 likes 140 plays 0

#### Hyperbolic PDE Analytical methods Example 3: Laplace transform method example 9.16

Step by step solution of the wave equation with the Laplace transform method for example 9.16 from the textbook

From  Daniel Friedrich 0 likes 195 plays 0

#### Hyperbolic PDE Analytical methods Part 7: Laplace transform method

This video introduces the Laplace transform method for the hyperbolic wave equation.

From  Daniel Friedrich 0 likes 179 plays 0

#### Hyperbolic PDE Analytical methods Example 2: Separation of variables example 9.14

Step by step solution of both cases from example 9.14. This example uses the method of separation of variables on the wave equation.

From  Daniel Friedrich 0 likes 213 plays 0

#### Hyperbolic PDE Analytical methods Part 6: Separation of variables

This video introduces the method of separation of variables or separated solutions for the wave equation.

From  Daniel Friedrich 0 likes 173 plays 0

#### Hyperbolic PDE Analytical methods Example 1: Characteristics example 9.13

Step by step solution of example 9.13 which covers a wave equation problem solved by the method of characteristics.

From  Daniel Friedrich 0 likes 218 plays 0

#### Hyperbolic PDE Analytical methods Part 5: Formal classification of PDEs

Derive and discuss the formal classification for second order partial differential equations

From  Daniel Friedrich 0 likes 201 plays 0

#### Hyperbolic PDE Analytical methods Part 4: Method of characteristics

Introduce the method of characteristics for hyperbolic PDEs

From  Daniel Friedrich 0 likes 254 plays 0

#### Hyperbolic PDE Analytical methods Part 3: D'Alembert solution

This video derives the d'Alembert solution for the hyperbolic wave equation.

From  Daniel Friedrich 0 likes 265 plays 0

#### Hyperbolic PDE Analytical methods Part 2: Vibrating string and linear advection

This video shows that two expressions are solutions to the wave equation for two different conditions: 1) the fundamental mode of the vibrating string and 2) the linear advection problem.

From  Daniel Friedrich 0 likes 231 plays 0

#### Hyperbolic PDE Analytical methods Part 1: Introduction

Introduction to the hyperbolic wave equation and derivation of the 1D wave equation.

From  Daniel Friedrich 0 likes 238 plays 0

#### Parabolic PDE Analytical methods ConcepTest solutions

Video with the solutions to the ConcepTests for the Analytical methods for Parabolic PDE part

From  Daniel Friedrich 0 likes 101 plays 0

#### Parabolic PDE Analytical methods Example 5: Radially symmetric heat conduction

Step by step solution of the radially symmetric heat conduction or diffusion problem from example 9.24

From  Daniel Friedrich 0 likes 234 plays 0

#### Parabolic PDE Analytical methods Part 6: Spherical coordinates

This video discusses the heat conduction or diffusion equation in spherical coordinates. It also introduces the scaled temperature for radially symmetric heat conduction or diffusion problems.

From  Daniel Friedrich 0 likes 262 plays 0

#### Elliptic PDE Analytical methods ConcepTest solutions

Video with the solutions to the ConcepTests for the Analytical methods for Elliptic PDE part

From  Daniel Friedrich 0 likes 105 plays 0