What is the best numerical method for

[hunt_mat]

An equation of the form:
$$\frac{\partial A}{\partial t}+\frac{\partial B}{\partial x}=C$$
I am thinking Lax-Wendroff.

 

[timthereaper]

I would think so, seeing as how it fits the Wikipedia example fairly well.

 

[hunt_mat]

I have been thinking about this, would I have to define:
$$C=\frac{\partial}{\partial x}\int Cdx$$
and then define
$$B'=B-\int Cdx$$
to get
$$\frac{\partial A}{\partial t}+\frac{\partial B'}{\partial x}=0$$
and then apply Lax-Wendroff to the above equation?