Search for tag: "example"
Laplace transform Week 3 Example 2: System of differential equationsStep by step solution of a system of differential equations with the Laplace transform method
From Daniel Friedrich
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Exercise sheet PDE 1: Question 1 worked exampleWorked example showing the application of the separated solution and the d'Alembert methods to the 1D wave equation
From Daniel Friedrich
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Exercise sheet Fourier series 1: Question 1a worked exampleWorked example showing the calculation of the Fourier series of a periodic function
From Daniel Friedrich
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Exercise sheet Laplace transform 3: Question 1ii worked exampleSolution of a system of differential equations with the Laplace transform method.
From Daniel Friedrich
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Exercise sheet ODE 1: Question 1 worked exampleWorked solution for Question 1 from Exercise sheet ODE 1 from EM2A
From Daniel Friedrich
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Hyperbolic PDE Analytical methods Example 3: Laplace transform method example 9.16Step by step solution of the wave equation with the Laplace transform method for example 9.16 from the textbook
From Daniel Friedrich
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Hyperbolic PDE Analytical methods Example 2: Separation of variables example 9.14Step 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
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Hyperbolic PDE Analytical methods Example 1: Characteristics example 9.13Step by step solution of example 9.13 which covers a wave equation problem solved by the method of characteristics.
From Daniel Friedrich
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Parabolic PDE Analytical methods Example 5: Radially symmetric heat conductionStep by step solution of the radially symmetric heat conduction or diffusion problem from example 9.24
From Daniel Friedrich
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Parabolic PDE Analytical methods Example 4: Laplace transform method example 9.23Step by step solution of example 9.23 with the Laplace transform method
From Daniel Friedrich
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Parabolic PDE Analytical methods Example 3: Separated solution example 9.22Step by step solution of the heat conduction or diffusion equation example 9.22 from the textbook
From Daniel Friedrich
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Elliptic PDE Analytical methods Example 5: Cylindrical coordinatesStep by step example solving the Laplace equation on a circle where the upper half of the circle is held at a high temperature while the lower half is held at a low temperature.
From Daniel Friedrich
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Elliptic PDE Analytical methods Example 3: Separated solution with Fourier seriesThis video show how we can use the method of separation of variables together with the Fourier series to find the solution of the Laplace equation. A brief recap of the Fourier series is given at the…
From Daniel Friedrich
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