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Reflection of waves

6.3K views
Feb 29, 2020
20:42

Wave Equation on Half-Line In this video, I solve the wave equation on the half line by using the same technique that I used for the heat equation, namely by extending the initial conditions to the whole line and by using D'Alembert's formula. The solution exhibits a cool physical phenomenon: Namely the wave reflects on the axis x = 0 (if time is large enough). Enjoy! Check out my PDE Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmDoNqmBDkgJ6-vN-j-aJFIm Subscribe to my channel: https://www.youtube.com/c/drpeyam Check out my Teespring merch: https://teespring.com/stores/dr-peyam

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Reflection of waves | NatokHD