Homework Statement
Solve Fisher's equation
u_t = u_{xx} + u(1 - u)
numerically, with the initial condition (step function)
u(x,0) = heaviside(-x)
Homework Equations
One can assume a traveling wave solution:
u(x,t) = u(\xi)
where \xi = x-vt
such that
u_{\xi \xi} = -vu_{\xi} - u(1...