Chapter 11, Problem 9P

Recall from Prob. 10.8, that the following system of equations is designed to determine concentrations $\left(\text{the }c\text{'}s{\text{ in g/m}}^3\right)$ in a series of coupled reactors as a function of amount of mass input to each reactor (the right-hand sides in g/d),

$\begin{array}{c}15c_1-3c_2-c_3=3800\\ -3c_1+18c_2-6c_3=1200\\ -4c_1-c_2+12c_3=2350\end{array}$

Solve this problem with the Gauss-Seidel method to ${\epsilon }_s=5\%$.