Lab for Newton's 2D Method

Lab for Newton's 2D Method

Newton-Raphson Method in 2-Dimensions. To solve the non-linear system

given one initial approximation and using Newton-Raphson iteration.

First load Mathematica's subroutine "ImplicitPlot" and the graphics package "Colors".

Report to be handed in.

Computer Exercises



 




 

Exercise 1. Use Newton's method to find the solutions of the nonlinear system:

Now, use the Newton-Raphson method to find a numerical approximation to the root near (2, 0.25).

Next, use the Newton-Raphson method to find a numerical approximation to the root near (0.0, 1.0).

Exercise 2. Use Newton's method to find the solutions of the nonlinear system:

Four starting values, near the four solution points must be used.

(c) John H. Mathews, 1998