This video contains a lecture on Fixed-Point methods, a way to numerically solve nonlinear equations. This lecture was generated for Chemical Engineering 263 (Undergraduate Numerical Tools) at Brigham Young University.
In the video I cover:
I. General Concepts about Nonlinear Equations (00:46)
II. General Concepts about Fixed-Point Methods (16:43)
A. Picard's Method (27:33)
B. Newton's Method (29:39)
Videos related to this example include:
- Using Newton's method in Excel: https://youtu.be/NJ-L1hi_ACk
- Using Newton's method in Python: https://youtu.be/QZcJn3NT7t4
For more information, including lecture notes, example codes and more, please visit the course website:
https://www.et.byu.edu/~treedoug/teaching/ChEn263/