Contents

A vibrating string

The following commands create and show an animation of the solution of the wave equation $u(x,t) = \sin(5x)\cos(5t),\ 0 < x < \pi,\ 0 < t < 2 \pi$. In the animation, $t = n\pi/50$. This solves the equation with initial value $sin(5x)$ and boundary values $u(0,t)=0, \ u_t(0,t)=0$.

X = 0:0.01:pi;
for n = 0:100
    plot(X, sin(5*X)*cos(n*pi/10)), axis([0,pi,-2,2])
    hold on
    plot(X,0*X, 'k')
    hold off
    M(n+1) = getframe;
end

mplay(M,6)


Published with MATLAB® 7.13