Chapter 30, Problem 7P

To determine

To calculate: The advection-diffusion equation numerically and test it for $k=0.15,D=100$ and $U=1$ for a tank length of $\text{10 m}$.

$\frac{\partial c}{\partial t}=D\frac{{\partial }^{2}c}{\partial x}-U\frac{\partial c}{\partial x}-kc$

Here, $\Delta x=\text{1 m}$, inflow concentration is $100$, initial concentration is zero and a step size $\Delta t=0.005$.