What is the best numerical method for

hunt_mat
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An equation of the form:
<br /> \frac{\partial A}{\partial t}+\frac{\partial B}{\partial x}=C<br />
I am thinking Lax-Wendroff.
 
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I would think so, seeing as how it fits the Wikipedia example fairly well.
 
I have been thinking about this, would I have to define:
<br /> C=\frac{\partial}{\partial x}\int Cdx<br />
and then define
<br /> B&#039;=B-\int Cdx<br />
to get
<br /> \frac{\partial A}{\partial t}+\frac{\partial B&#039;}{\partial x}=0<br />
and then apply Lax-Wendroff to the above equation?
 
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