What is the best numerical method for

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SUMMARY

The discussion focuses on the application of the Lax-Wendroff method to solve the partial differential equation given by \(\frac{\partial A}{\partial t}+\frac{\partial B}{\partial x}=C\). The user proposes defining \(C\) as \(\frac{\partial}{\partial x}\int Cdx\) and adjusting \(B\) to \(B'=B-\int Cdx\) to reformulate the equation into a suitable form for Lax-Wendroff. This approach aligns with established practices for numerical methods in computational mathematics.

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An equation of the form:
[tex] \frac{\partial A}{\partial t}+\frac{\partial B}{\partial x}=C[/tex]
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:
[tex] C=\frac{\partial}{\partial x}\int Cdx[/tex]
and then define
[tex] B'=B-\int Cdx[/tex]
to get
[tex] \frac{\partial A}{\partial t}+\frac{\partial B'}{\partial x}=0[/tex]
and then apply Lax-Wendroff to the above equation?
 

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