How To Solve The Damped Wave Equation. With initial conditions u(x,0)=f(x), u t (x,0)=g(x) and boundary conditions u(0,t)=0 and u x (l,t)=0. In this work, the damped vibration of a string with fixed ends is considered.

If your sine curve is exponentially damped, drawing a line from peak to peak will result in an exponential decay curve, which has the general formula n(t) = a e (kt). You can edit the initial values of both u and u t by clicking your mouse on the white frames on the left. We make a complete deduction of its fundamental solutions, both for positive and negative times.