Choose a 41-grid point mesh with

Posted: November 1st, 2022

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Hello,
Please answer the following exercise as per given instructions
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

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