Differential Equations
|
The Telegraph Equation (animated)
The Animated Telegraph Equation This demonstration illustrates the behaviour of solutions of the telegraph equation u_{tt} +(a+b)u_t+abu= c^2 u_{xx} u(0, t) = 0 u(l, t) = 0 u(x, 0) = f(x) u_t(x, 0) = g(x) 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 ...
|
| |
Courses