I'm looking for solution to this non-homogeneus problem.
$\frac{\partial u}{\partial t}-\frac{\partial^2 u}{\partial x^2}=F(x,t)$ for $0
$u(x,0)=0$
$u(0,t)=\frac{\partial u}{\partial x}(x=\pi)=0$
Does anyone know how to proceed?
I'm looking for solution to this non-homogeneus problem.
$\frac{\partial u}{\partial t}-\frac{\partial^2 u}{\partial x^2}=F(x,t)$ for $0
$u(x,0)=0$
$u(0,t)=\frac{\partial u}{\partial x}(x=\pi)=0$
Does anyone know how to proceed?