Download presentation

Presentation is loading. Please wait.

Published byMuhammad Want Modified over 2 years ago

1
Muller ‘ s mothod Hun Hee Lee

2
Muller ’ s method Muller ’ s method for solving an equation of one variable f(x)=0. Muller ’ s method is an iterative method that requires three starting values (x i,f(x i )), (x i-1,f(x i-1 )),(x i-2,f(x i-2 )). A parabola is constructed that passes though the three point; then the quadratic formula is use to fine of the quadratic equation for the next approximation

3
g(X)=ax 2 +bx+c y=g(x) y=f(x) h x1 x2 h x3 f(x)=0

4
Algorithm: Muller ’ s method to sovle an quation of one variable Input: intial values x 0,x 1,x 2,Error bound Calculate: Approximate solution x I+1 compute f(x 0 ), f(x 1 ), f(x 2 ) compute h 2 =x 2 -x 1, h 1 =x 1 -x 0 Eliminating c of g(x)

5
set i=2 Do { Let G=c i if Set x i+1 =x i +h i+1 Comute f(x i+1 )and Set i= i+1 }WHILE ( |h| ) Output :x i+1 END a of g(x)

6
g(X)=ax 2 +bx+c y=g(x) x= G-S x i x i x= G+s S>0,G<0 h i+1 S>0,G>0 h i+1 S<0 h i+1

7
#include #include #include #include double f,X,err; double F(double X); double M(double x1); void main() {int loop_index; double x1; err=1.0e-12; printf("type initial vaule:"); scanf("%lf",&x1); X=M(x1); printf("root=%f",X); getch(); } Program source double M(double x1) { double xr,xl,xc,h,hi,fc,fr,fl,DLR,f1,f2,f3,G,S,DEN; hi=1.0e-8; h=hi; xr=x1+h;fr=F(xr); xl=x1-h;fl=F(xl); f1=(fr-fc)/h; xc=x1; fc=F(xc); X=xc; do { f2=(fc-fl)/h; f3=(f2-f1)/(2*h); f1=f2; G=f2+f3*h; S=G*G-4.0*fc*f3; if(S>=0) S=sqrt(S); if (G>=0) DEN=G+S; else DEN=G-S; h=-2.0*fc/DEN; fl=fc; X=X+h; fc=F(X);f2=(fc-fl)/h; printf("%20.16lf",h);getch(); } while(fabs(h)>=err); return (X); }

8
double F(double X) { f=pow(X,5)-2*pow(X,4)+4*pow(X,3)-8*X*X+4*X-8; return f; }

Similar presentations

OK

Radical Equations Quadratic Formula. Remember: 1. Simplify x 2 – x = 6 is therefore a 2 nd degree equation Aim: Use the quadratic formula in order to.

Radical Equations Quadratic Formula. Remember: 1. Simplify x 2 – x = 6 is therefore a 2 nd degree equation Aim: Use the quadratic formula in order to.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on old testament history Ppt on phonetic transcription symbols Ppt on venture capital for mba students Ppt on loops in c language Pancreas anatomy and physiology ppt on cells Ppt on panel discussion presentation Ppt on stock market indices Ppt on indian primary resources Ppt on diode family tree Ppt on computer science department