EECS 328:
Numerical Methods for Engineers
Department of Electrical Engineering and Computer Science
Northwestern University
Spring 2009
Weekly Problem Set #8
Due Time:
The written problems should be
turned in on paper at the start of class on Friday, 6/5/2009.
The programming assignments should
be deposited in the Blackboard Digital Dropbox before the class on Friday,
6/5/2009.
Written Problems:
- (12.5 points) Exercise 9.1 on page
416.
- (12.5 points) Exercise 9.4
on page 417.
- (12.5 points) Exercise 9.5
on page 417. Also compute the solution values y2 and y3
for t2 = 2 and t3 = 3.
- (12.5 points) Find a
predictor for the ODE y' = f(t, y) of the form yk+1 = w0yk+w1y'k+w2yk-1+w3yk-2.
Use the method of undetermined coefficients to determine the coefficients w0,
w1, w2, and w3 by forcing the predictor to
be exact for the first four monomials, 1, t, t2, and t3.
Programming Assignments:
Write your programs in Matlab. Turn in both the programs and the outputs.
Organize the outputs neatly and comment them.
- (25 points) Computer
Problem 9.1(a) on page 418.
- (25 points) Computer
Problem 9.2 on page 418.