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Solving PDEs with the Laplace Transform - The Wave Equation

Steve Brunton via YouTube

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This video demonstrates how to solve the wave equation on a semi-infinite domain using the Laplace transform in time, initial and boundary conditions, and characteristic lines.

Syllabus

Overview and Problem Setup Initial Conditions and Boundary Conditions
Laplace Transform in Time: PDE to ODE
Solving the ODE in Space
General Solution of the Wave Equation
The Heaviside Function
Illustration and Method of Characteristics

Taught by

Steve Brunton

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