Page 5 - NUMERICAL METHOD

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TABLE OF CONTENT

DECLARATION ……………………………………………………...i

ACKNOWLEDGEMENT ……….…………...………………………ii

SYNOPSIS …....................................................................………….iii

INTRODUCTION ……………………….………………………..….1

SOLVING LINEAR EQUATIONS ……………………….………….4

Gauss Elimination Method …….………………………..……5

LU Decomposition : Doolittle Method …...…....…...…………8

LU Decomposition : Crout Method …….………….…..……12

Tutorial 1 …..……………………..….………………………...15

SOLVING NON-LINEAR EQUATION ……………….…….......…18

Fixed Point Iteration Method ..……………………………….19

Newton-Raphson Method ………...………………………....23

Tutorial 2 .………..………………………………..…………...27

APPLICATION OF NUMERICAL METHOD IN ENGINEERING

PROBLEM …………………………………………………………29

ANSWERS ………………………………………………………....42

REFERENCES ……………………………………………………..45