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Step by step solution of both cases from example 9.14. This example uses the method of separation of variables on the wave equation.
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 27th, 2021
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This video introduces the method of separation of variables or separated solutions for the wave equation.
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 27th, 2021
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Step by step solution of example 9.13 which covers a wave equation problem solved by the method of characteristics.
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 27th, 2021
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Derive and discuss the formal classification for second order partial differential equations
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 20th, 2021
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Introduce the method of characteristics for hyperbolic PDEs
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 20th, 2021
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This video derives the d'Alembert solution for the hyperbolic wave equation.
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 15th, 2021
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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.
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 14th, 2021
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Introduction to the hyperbolic wave equation and derivation of the 1D wave equation.
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 14th, 2021
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Video with the solutions to the ConcepTests for the Analytical methods for Parabolic PDE part
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 14th, 2021
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Step by step solution of the radially symmetric heat conduction or diffusion problem from example 9.24
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 13th, 2021
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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.
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 13th, 2021
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Video with the solutions to the ConcepTests for the Analytical methods for Elliptic PDE part
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 13th, 2021
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Step by step solution of example 9.23 with the Laplace transform method
Course Code
SCEE09004 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
February 6th, 2021
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This video introduces the frequency shift property of the Laplace transform.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
September 3rd, 2020
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In this video we introduce the concept of exponential order and define the region of convergence of the Laplace transform.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
September 2nd, 2020
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In this example video, we calculate the Laplace transform of the ramp, sine and cosine functions, and the hyperbolic sine and cosine functions directly from the Laplace transform definition.
Course Code
SCEE08009 Publisher
Daniel Friedrich Licence Type
Creative Commons - Attribution Language
English Date Created
September 2nd, 2020
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