Solutions Manual for Numerical and Analytical Methods with MATLAB 1st Edition by Bober

Chapters 2 – 14 Covered
M M M M




SOLUTIONS

, SOLUTION MANUAL M




NUMERICAL AND ANALYTICAL METHODS WITH
M M M M




MATLAB

Table of Contents
M M




Page

ChapterM2 1

ChapterM3 46

ChapterM4 58

ChapterM5 98

ChapterM6 107

ChapterM7 176

ChapterM8 180

ChapterM9 188

ChapterM10 214

ChapterM11 271

ChapterM12 303

ChapterM13 309

ChapterM14 339




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, CHAPTERM2

P2.1.MTaylorMseriesMexpansionMofM fM(Mx)M aboutMxM=M0Mis:

fM'M'M( 2 fM'M'M'M( 3 fM1 4
fM(Mx)MM fM(0)MM fM'M(0 xM x M V xM M...
)MxM 0)M  0)M3 
4!
2! !

For fM(Mx)MMcosM(M fM(0)MM1,
x)M,

fM(Mx)MMMsin(Mx),M fM'M(0)MM0,

fM'M'M(Mx)MM cos(Mx),M fM'M'M(0)MMM1,

fM'M'M'M(Mx)MM Msin(Mx),M fM'M'M'M(0)MM0,

fM1VM(Mx)MMMcos(Mx),M fM1VM(0)MM1

WeMcanMseeMthat

x x4
2 M xM6 8
cos(Mx)M1MM   xM MMM
4! 6! ...M8!

M


2!

andMthat

xM2
termM(k)MMMtermM(kMM
1)M 2MkM(2MkM
1)

TheMfollowingMprogramMevaluatesM cos(Mx)MbyMbothManMarithmeticMstatementMandMbyMt

heMaboveMseriesMforM-πM≤MxM≤MπMinMstepMofM0.1MM.

%Mcosf.m

%MThisMprogramMevaluatesMcos(x)MbyMbothMarithmeticMstatementMandMby

%MseriesMforM-πM≤MxM≤MπM inMstepsMofM0.1Mπ

clear;Mclc;

xi=-

pi;Mdx=0.1*pi;MforMj=

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, 1:21

x(j)=xi+(j-1)*dx;

cos_arith(j)=Mcos(x(j));




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