ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Tue, 09 Dec 2014 09:08:43 +0100Find oscillations of a vibrating string by solving the 1-D wave equationhttps://ask.sagemath.org/question/25174/find-oscillations-of-a-vibrating-string-by-solving-the-1-d-wave-equation/Find oscillations of a vibrating string by solving the 1-D wave equation
(1/v^2)(d^2 u/dt^2) - (d^2 u/dx^2) = 0
for u(x,t) in the interval -1<=x<=1 and t>0
with initial conditions
u(x,0) = (1- abs(x))/2
and
du/dt @ t=0
and boundary conditions u(-1,t)=u(1,t)=0
Plot u(x,t) at different points in time t.
Question: How do I go about this and how do I use sage to solve this.
Thanks.
Tue, 09 Dec 2014 00:21:25 +0100https://ask.sagemath.org/question/25174/find-oscillations-of-a-vibrating-string-by-solving-the-1-d-wave-equation/Comment by slelievre for <p>Find oscillations of a vibrating string by solving the 1-D wave equation</p>
<p>(1/v^2)(d^2 u/dt^2) - (d^2 u/dx^2) = 0</p>
<p>for u(x,t) in the interval -1<=x<=1 and t>0</p>
<p>with initial conditions </p>
<p>u(x,0) = (1- abs(x))/2</p>
<p>and </p>
<p>du/dt @ t=0 </p>
<p>and boundary conditions u(-1,t)=u(1,t)=0</p>
<p>Plot u(x,t) at different points in time t.</p>
<p>Question: How do I go about this and how do I use sage to solve this.</p>
<p>Thanks.</p>
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