EGR 103/Fall 2022/Lab 11
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Assignment
You will be using root-finding to solve several engineering problems. The main Python methods you will be using are:
Note that generally we will bring in scipy.optimize
with
import scipy.optimize as opt
so the function calls will look like
opt.brentq() opt.root()
In the documentation on Scipy, they bring in the entire optimize package with
from scipy import optimize
so their function calls look like
optimize.brentq() optimize.root()
Chapra 6.13
- See Python:Finding_roots
- For the plot, use $$T$$ values from 0 to 1200 K
- Use
opt.brentq()
for this. Remember that you do not need to work too hard to make a narrow bracket - just look at the graph and figure out values to the left and right of the root you want.
Chapra 6.14
- See Python:Finding_roots
- Use
opt.brentq()
for this. Remember that you do not need to work too hard to make a narrow bracket - just look at the graph and figure out values to the left and right of the root you want.
Chapra 6.16
- See Python:Finding_roots
- You should probably use
opt.brentq()
for this as using an open method likeopt.root()
could fail.
Chapra 6.33
- See Python:Finding_roots
- You must use
opt.root()
rather thanopt.brentq()
to get full credit here. You do not need to write a Newton-Raphson routine.