ChEn263 — Lecture 13

• Link to Course Notes

Lecture 13 - Fixed Point Methods

• These notes cover iterative “fixed-point” methods to solve a non-linear equation. These methods include Picard’s method and Newton’s method.

• Handwritten Notes
• Video Notes
• Plots of Examples of Non-Linear Equations
• Newton’s Method Gif (Courtesy of Wikipedia).

Examples

• This video contains examples solving nonlinear equations using Picard’s method and Netwon’s method in Excel.

• Example - Picard and Newton in Excel
• This video contains examples solving nonlinear equations using Picard’s method and Netwon’s method in Python.

• Example - Video Notes
• Example - Picard’s Method in Python
• Example - Newton’s Method in Python

Homework

• Similar to Lecture 11, the codes for Picard’s method and Newton’s method are given above for your learning, but are made to be difficulty to copy and paste. Please learn the algorithms, and don’t just copy the codes. You will increase your learning significantly by coding it for yourself.
• HW 13 Problem Set