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SOLVED: Question one For the following wave equation in one dimension find the numerical solution using Crank Nicolson method: Assume the string has total length 1m, and total time as 1 sec:
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![The equation of a wave travelling on a string is y=4sin[(pi)/(2)(8t-(x)/(8))], where x,y are in cm and t in second. They velocity of the wave is](https://d10lpgp6xz60nq.cloudfront.net/web-thumb/391604116_web.png "The equation of a wave travelling on a string is y=4sin[(pi)/(2)(8t-(x)/(8))], where x,y are in cm and t in second. They velocity of the wave is")
The equation of a wave travelling on a string is y=4sin[(pi)/(2)(8t-(x)/(8))], where x,y are in cm and t in second. They velocity of the wave is
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SOLVED: The vibration of a tight string of 2 m long is described by the following partial differential equation: 02u 900- dt2 Dx2 with boundary conditions u(0,+) = u(2,+) = 0 and
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