problem 2 the following steady state transport model is to be used to
The following steady-state transport model is to be used to determine the concentration profile
of a proppant in a fracturing operation:
(a) Set up the numerical solution to solve this problem using explicit finite-difference with a
step size of 1 m. Set up the solution matrix, and state how you would solve it to obtain
the concentration profile over the full range 0 ≤ x ≤ 100m.
What error order would you expect, and how can you improve quality of your solution?
Write a Matlab program to solve the above system of ODEs using the explicit finite-
difference method in the interval: [x = 0 to x=100]. Investigate the effect of step size on
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