thermodynamics - Heat equation with heat radiation and heat transfer

If I want to calculate steady temperature distribution on a one-dimensional stick, and I need to consider both the heat radiation and heat transfer, then my equation will be in the form: $$ \frac{\partial ^2 T}{\partial x^2}=A(T^4-T_{env}^4) + B(T-T_{env}). $$

$T_{env}$ is the environment temperature which varies at different places.

Is there any algorithm that can solve this kind of equation numerically? Most of numerical algorithms focus on equation like $H\phi=a\phi$.