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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 ...
www.math.ubc.ca/~feldman/demos/demo8.html
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