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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 104 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 188 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 249 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 231 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 284 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 229 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 308 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 282 plays 0  

Hyperbolic PDE Analytical methods Part 4: Method of characteristics

Introduce the method of characteristics for hyperbolic PDEs

From  Daniel Friedrich 0 likes 350 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 358 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 306 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 312 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 137 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 319 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 345 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 141 plays 0