In transport of number in a equation and addition change to a
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=> The transport equation is a partial differential equation of the form
u t + c u x = 0 . (1)
Here, u is a function of two variables (x,t) and the subscripts denote partial derivatives. We will assume that c is a fixed constant. Given an initial condition
u(x,0)=f(x) (2)
we would like to find a function of two variables that satisfies both the transport equation (1) and the initial condition (2).
For discussion and simulation of more general conservation laws, including shock wave phenomena, see Scott Sarra's article.
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