Give several examples of functions that satisfy this condition or give several examples of functions that do not satisfy this condition.

In your own words describe the Lipschitz condition? Give several examples of functions that satisfy this condition or give several examples of functions that do not satisfy this condition.
References APA style

Choose a 41-grid point mesh with

Hello,
Please write code as per given instructions mentioned in PDF
Instruction: If you were caught copying program or code from online source, you will receive
zero score for this project.
Project Prompt:
Solve the wave equation
0
u u
t x
 
+ =
 
using
i. First order upwind scheme
ii. MacCormack scheme
for the initial conditions
u x( ,0) 1 = x 10
u x( ,0) 0 = x 10
and Dirichlet boundary conditions. Choose a 41-grid point mesh with
 =x 1
and
compute to t=18. Solve this project for

= 1.0, 0.6, and 0.3.
Each student has to submit the following items to Canvas portal to receive full credits:
a. Tabulated results of u for exact and numerical solutions at t=18 (2 points)
b. Graphs for comparison between exact and numerical solutions (4 points)
c. An electronic MATLAB file for my code execution. (4 point )