The Animated Telegraph equation
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Description: This demonstration illustrates the behaviour of solutions of the telegraph equation
The Telegraph Equation (animated) The Animated Telegraph Equation This demonstration illustrates the behaviour of solutions of the u_{tt} +(a+b)u_t+abu= c^2 u_{xx} In this example c=1, l=10, the intial amplitude consists of one bump centered on x=3. The initial speed is chosen to be g(x) = -cf'(x) - (a+b)f(x)/2, so that, when there is no dispersion the bump just translates with speed c and decays with rate (a+b)/2. The demonstration simultaneously plots, in gray, the solution to the wave equation (i.e. a=b=0) and, in black, the solution to the telegraph equation with the current values of a and b. The animation runs for a time interval of length 20. Once it stops you may change the current values of and b. To ensure that all modes remain underdamped, a and b are required to obey a>=0, b>=0 and a+b
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WEBSITE Info
| Page title: | The Telegraph Equation (animated) |
| Keywords: | Joel Feldman, telegraph equation |
| Description: | The Telegraph Equation (animated) |
| IP-address: | 137.82.36.73 |
WHOIS Info
| NS | Name servers: dns3.ubc.ca 142.103.1.1 hub.ubc.ca 137.82.1.1 |
| WHOIS | status: registered |
| Date | Creation date: 2000/10/05 Expiry date: 2015/01/13 |