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My situation
Class start time
 After mid
 Before final
Presentration topic
NUMERICAL METHOD(The
application of numerical
methods in real life)
Some problem
1. The population of a village in the last six censuses was
recorded as follows.Estimate the population for the year
1945.
2. Estimate the production of cotton in the year 1935 from
the data given below:
YAER 1941 1951 1961 1971 1981 1991
Popul
ation
2500 2800 3200 3700 4350 5225
Year (x) 1931 1932 1934 1936 1938
Produc
tion (y)
17.1 13.0 14 9.6 12.4
Real life application of Mathmatics
in Numerical Analysis
 Estimation of ocean currents
 Modeling combustion flow in a coal power plant
 Shuttle/tank separation
Scientific programming
 Modeling of airflow over airplane bodies
 Electromagnetics analysis for detection by radar
 Design and analysis of control systems for aircraft
 Electromagnetics
 Large scale shock wave physics code development
 Curve fitting of tabular data
Bisection method
 1. Define F(x)
 2. Read ‘a’
 3. Read ‘b’
 4. Set k=1
 5. Calculate x=(A+B)/2
 6. Calculate f=f(x)
 7. Print k,x,f
 8.
0001.0||
1

kk
xxif
0001.0||
1

kk
xxif
 Then Goto
 Step 11
 Else if
 F(a). f<0 then b=x
 Else
 F(b). F<0 then a=x
 Endif
 9. Set k=k+1
 10. Goto step 5
 11. Print x
 12. stop
Using bisection method
What are the advantages
of numerical method ?
Thank you sir

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NUMERICAL METHOD

  • 1.
  • 2. My situation Class start time  After mid  Before final
  • 3. Presentration topic NUMERICAL METHOD(The application of numerical methods in real life)
  • 4. Some problem 1. The population of a village in the last six censuses was recorded as follows.Estimate the population for the year 1945. 2. Estimate the production of cotton in the year 1935 from the data given below: YAER 1941 1951 1961 1971 1981 1991 Popul ation 2500 2800 3200 3700 4350 5225 Year (x) 1931 1932 1934 1936 1938 Produc tion (y) 17.1 13.0 14 9.6 12.4
  • 5. Real life application of Mathmatics in Numerical Analysis  Estimation of ocean currents  Modeling combustion flow in a coal power plant  Shuttle/tank separation Scientific programming  Modeling of airflow over airplane bodies  Electromagnetics analysis for detection by radar  Design and analysis of control systems for aircraft  Electromagnetics  Large scale shock wave physics code development  Curve fitting of tabular data
  • 6. Bisection method  1. Define F(x)  2. Read ‘a’  3. Read ‘b’  4. Set k=1  5. Calculate x=(A+B)/2  6. Calculate f=f(x)  7. Print k,x,f  8. 0001.0|| 1  kk xxif 0001.0|| 1  kk xxif
  • 7.  Then Goto  Step 11  Else if  F(a). f<0 then b=x  Else  F(b). F<0 then a=x  Endif  9. Set k=k+1  10. Goto step 5  11. Print x  12. stop
  • 8.
  • 10. What are the advantages of numerical method ?