errata 5thed first printing

8/4/2019 Errata 5thEd First Printing

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Chapra and CanaleNumerical Methods for Engineers, 5th Ed.

Errata for first printing(Last updated: 2/6/06)

p. 44; First line of function at bottom of page should be

function yy = euler(dt,ti,tf,yi,m,cd)

Last line should be

yy = y;

p. 45; Function at top of page should be

function dydt = dy(t, v, m, cd)

g = 9.8;

dydt = g (cd/m) * v;

p. 131; Figure P5.14, change dimensions as shown.

4 2

p. 132; Prob. 5.16; Equation should be (delete 2 at end)

[ ]3

32 hRhV

=

p. 159; Prob. 6.23;

Use an initial guess ofx0 = 3.2.

p. 181 Example 7.7; 4th

line of Problem Statement:

delete the minus sign.

p. 204; Prob. 8.11; Equation should be (first epsilon should be cubed)

1


2/5

75.1)/(

1150

1

3

2+

=

op

p

oGDL

D

G

P

p. 207; Prob. 8.27; Equation should be (x 8 term should be cubed)

[ ] xxxxxxxuy 25.2386577758

61550

65)( 3

2344+++=

p. 209; Prob. 8.37;

compute the time at which v = 750 m/s.

p. 210; Prob. 8.42; Last equation should be (changeIItoIII)

yzxzxyxyzzxzyyyzxxzzyyxxIII 2222 +=

p. 240; 2nd

to last line from bottom of page. Delete bi and replace with sum.

p. 261; 3rd

line from top of page, delete multiply/divide

p. 261; delete denominators of 2 in Eq. (9.37)

p. 283; prob. 10.2;

Change in Sec. 10.2 to Sec. 10.1.2

p. 284; Prob. 10.19; Last equation should read (change first b to 6 and delete first c):

( ) ( ) kcjbiaCABAr

rrrrrr

)14()23()65( ++++=+

p. 346; 5th

equation should be modified to

765.110

528.1)528.1sin(2)528.1()(

2

2 === fxf

p. 357; first line of computer code should read

maxf = -1E9

p. 365; Equations (14.7) and (14.8) should read

22

2 ),(),(2),(

x

yxxfyxfyxxf

x

f

++=

(14.7)

22

2 ),(),(2),(

y

yyxfyxfyyxf

y

f

++=

(14.8)

2


3/5

p. 384; Change next to last sentence to read:

Because 8 is the smallest possible intercept,

p. 399; Prob. 15.6; Change Minimize to Maximize

p. 421; Prob. 16.30

A manufacturing firm produces four types

p. 506; Prob. 18.9;

Note that the values in the table were generated with the functionf(x) = x2/(1 + x

2).

p. 506; Prob. 18.19; (delete 0 from the data to be evaluated)

Test your program for f(x) = lnx using data fromx = 1, 2, ... , 10.

p. 518; Second equation in right column of box:

=

=

+=10

00)(k

tik

k

k

tik

k ecectf

p. 542; Prob. 19.1; Add "Note that the period is 24 hrs."

p. 556; Prob. 20.21; In table at bottom of page change 0.02 in first column to 0.20.

p. 560; Prob. 20.47; The units of speed should be changed from m/h to km/h.

p. 620; Fig. 22.4; The equation for the approximate error should be (change term I1,itertoI2,iter)

ea = ABS((I1,iter+1 I2,iter) / I1,iter+1) * 100

p. 631; Prob 22.9 (c); Equation should be

dyyy

++

0 22

)2/(1)(1

1

Prob 22.9 (e); Equation should be

(e) dxex

0

2/

2

1

2

p. 650; First line; change Fto d.

p. 657; Prob. 24.9; Equation should be (changeA to a),

3


4/5

)1( = ao ea

E

p. 658; Prob. 24.9; Equation should be (changex to ),

)1(1

=

a

a ee

p. 659; Prob. 24.10; Change last line in problem statement to with a step size of2 s.

p. 665; Prob. 24.47. Change beginning of second sentence to Use second-order accurate

derivative approximations

p. 665; Prob. 24.49; Change (b) to

(b) Use multiple-application Simpsons rule to integrate.

p. 665; Prob. 24.50; Change the parenthetical phrase before the equation to

(evaluate the integral from 0.1 atm to 50 atm)

p. 715; Main or "Driver" Program; Change first loop to:

DOFOR i = 1, n

ypi,m = yiiyi = yii

END DO

p. 725; Prob. 25.24; Change depth of liquid in tank from h toH.

p. 804; Prob. 28.24; Change equation to (add minus)

)(2)(4

2

ehghA

d

dt

dh+=

p. 806; Prob. 28.38; units should be changed to k= 6 N/m.

p. 807; Prob. 28.39; Change equation to (add minus)

02

2

2

=

+ pu

dx

du

xdx

ud

p. 854; Example 30.5; Change to

T1,1 = 3.01597

p. 854; Example 30.5; Change to (13.0639 12.0639)

4


5/5

=

0619.82577.00639.12

167.20835.00835.0167.20835.0

0835.0167.2

1,3

1,2

1,1

T

T

T

p. 867; Eq. (31.24); Change to

( )( )21

122

12

21 12

1

TTxx

dxxx

TTx

x

=

p. 867; Eq. (31.25); Change to

( )( )21

122

12

21 12

1

TTxx

dxxx

TTx

x+

=

+

p. 886; Eq. (32.7); Change to

in10 2222 c

DxUc

xUDc

DxU

Uxk

xUD

+=

+++

p. 887; Eq. (32.10); Change to

022

1 =

+

+

nn cU

xk

xU

Dc

xU

D

5

errata 5thed first printing

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