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NUMERICAL METHOD AND ITS
APPLICATION
Name ID
Fatema Akter 181-15-1710
Rezaul Karim Refath 181-15-1871
Rashedul Islam 181-15-1762
What is Numerical Method ?
1. Approach for solving complex mathematical problem using
arithmetic operation
2. Involves the formulation of model of physical situations that
can be solved by arithmetic operation
Need of Numerical Method
1. Mathematical models are a central piece of
science and engineering
2. Some models have closed-form solutions,
therefore they can be solved analytically.
Many models can not be solved analytically or
the analytic solution is too costly to be
practical.
3. All models can be solved computationally and
the result may not be the exact answer but it can
be useful.
Steps involved to solve
 FORMULATION OF MATHEMATICALMODEL.
 CONSTRUCTION OF AN APPROPRIATE
NUMERICALMETHOD.
 IMPLEMENTATIONOF THE NUMERICALMETHOD.
 OBTAIN THE SOLUTION BY SOLVING.
 VALIDATION OF THE SOLUTION.
Why are numerical methods used in
Engineering?
 Engineers use mathematical modelling which
includes various equations and data to describe
and predict the behavior of systems.
 Computers are widely used which give accurate
results and are cheap and affordable to all.
 Many software packages are available that can be
used to solve the problems.
APPLICATIONS OF NUMERICALMETHODS
SCIENTIFIC COMPUTING USING
NUMERICAL METHODS
 Design and analysis for numerically solving
mathematical problems in science and
engineering.
 Effect of approximations and performs error
analysis.
 Modern simulations of engineeringapplications.
How it is applied
 Develop a mathematical problem with your skills
and the requirement.
 Come up with a numerical algorithm.
 Implement the algorithm.
 Run, debug, test the code.
 Visualize and interpret the result.
 Validate the result.
APPLICATION OF NUMERICAL METHODSIN DAY-TO-
DAY LIFE
ESTIMATION OF OCEAN CURRENTS
• Numerical circulation models provide estimates of ocean
currents that are increasingly important in leading this
field. Probably the most common application of these tools
is to study the large-scale, low frequency currents of the
global ocean using a general circulation model
MODELLING OF AIRFLOW OVER AIRPLANES
Curve fitting
THANK YOU !!!

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NUMERICAL METHOD AND ITS APPLICATION

  • 1. NUMERICAL METHOD AND ITS APPLICATION
  • 2. Name ID Fatema Akter 181-15-1710 Rezaul Karim Refath 181-15-1871 Rashedul Islam 181-15-1762
  • 3. What is Numerical Method ? 1. Approach for solving complex mathematical problem using arithmetic operation 2. Involves the formulation of model of physical situations that can be solved by arithmetic operation
  • 4. Need of Numerical Method 1. Mathematical models are a central piece of science and engineering 2. Some models have closed-form solutions, therefore they can be solved analytically. Many models can not be solved analytically or the analytic solution is too costly to be practical.
  • 5. 3. All models can be solved computationally and the result may not be the exact answer but it can be useful.
  • 6. Steps involved to solve  FORMULATION OF MATHEMATICALMODEL.  CONSTRUCTION OF AN APPROPRIATE NUMERICALMETHOD.  IMPLEMENTATIONOF THE NUMERICALMETHOD.  OBTAIN THE SOLUTION BY SOLVING.  VALIDATION OF THE SOLUTION.
  • 7. Why are numerical methods used in Engineering?  Engineers use mathematical modelling which includes various equations and data to describe and predict the behavior of systems.  Computers are widely used which give accurate results and are cheap and affordable to all.  Many software packages are available that can be used to solve the problems.
  • 9. SCIENTIFIC COMPUTING USING NUMERICAL METHODS  Design and analysis for numerically solving mathematical problems in science and engineering.  Effect of approximations and performs error analysis.  Modern simulations of engineeringapplications.
  • 10. How it is applied  Develop a mathematical problem with your skills and the requirement.  Come up with a numerical algorithm.  Implement the algorithm.  Run, debug, test the code.  Visualize and interpret the result.  Validate the result.
  • 11. APPLICATION OF NUMERICAL METHODSIN DAY-TO- DAY LIFE
  • 12. ESTIMATION OF OCEAN CURRENTS • Numerical circulation models provide estimates of ocean currents that are increasingly important in leading this field. Probably the most common application of these tools is to study the large-scale, low frequency currents of the global ocean using a general circulation model
  • 13. MODELLING OF AIRFLOW OVER AIRPLANES