numerical methods and its applications.

1. NUMERICAL METHODS
-By NITISH KUMAR
GITAM UNIVERSITY
E-mail:pnk040498@gmail.com

2. IMPORTANCE

3. SCOPE OF NUMERICAL
METHODS

4. CALCULATOR PREPARATION
 Press shft+modesetup+6 FIX and press4.
 Press shft+modesetup+4 RAD

5. EASE OF NUMERICAL METHODS
 REG FORMULA
 ‘R’ stands for remember the formulae
 ‘E’ execute the operation
 ‘G’ get the result

6. BISECTION METHOD
 Find F(n) where n=0,1,2,3……n stop after
consecutive opposite sign[f(cn)]
 Find x1=[f(cn1)]+[f(cn2)]/2=smthng
 Find F(x1)=…..smthng > or<0
 If f(x1)<0 x1=a+x1;x1=b+x1/2 changes
are done inn accordance of the value
attained

7. SECANT METHOD
 Find F(n) where n=0,1,2,3……n stop after
consecutive opposite sign[f(cn)]
 Find x2=x0.f(x1)-x1.f(x0)/f(x1)-f(x0)
 Substitute all the values till the decimal
places and get the result in your finger
tips.

8. NEWTON RAPHSON METHOD
 Find F(n) where n=0,1,2,3……n stop after
consecutive opposite sign[f(cn)].
 X1=x0-[f(x0)/f’(x0)];similarly procced till
the decimal places are achieved

9. FALSE POSITION METHOD
 Find F(n) where n=0,1,2,3……n stop after
consecutive opposite sign[f(cn)].
 Formula is x2={x0.f(x1)-x1.f(x0)/f(x1)-
f(x0)}
 Similarly for x3,x4,x5 and so on…
 Get the desired result under the deimal
places

10. THANK YOU