ENGR 6101: C
OMPUTATIONAL
E
NGINEERING
Problem Set 2
(due Wednesday in my mailbox by 4pm, 09/08)
Questions:
The concentration of pollutant bacteria
c
in a lake decreases according to
c
=
75
e

1
.
5
t
+
20
e

0
.
075
t
Determine the time required for the bacteria concentration to be reduced to 15.
1. (3 pts.) Write a Matlab code to solve this problem using Newton’s method with an initial guess of
t
=
6 and stopping criterion of 0
.
5% approximate relative error. At each iteration, your code should
print
(
i
)
iteration number,
(
ii
)
approximated value of t, and
(
iii
)
estimated error
1
. Print your code, and
the output of your code, and include them in your solution. Name your code as
newton.m
and submit
soft copy as an email attachment to
[email protected]
2. (3 pts.) Write a Matlab code to solve this problem using bisection method. Take your initial interval to
be
[
0
,
6
]
. Use the current interval length for error and stopping criterion of 0
.
5% approximate relative
error. At each iteration, your code should print
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This note was uploaded on 03/16/2011 for the course ENGR 8101 taught by Professor Canor during the Fall '08 term at UGA.
 Fall '08
 CANOR

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