Numerical methods are techniques for solving complex mathematical problems that cannot be easily resolved analytically, particularly in science and engineering. They involve formulation, implementation, and validation of mathematical models, leveraging computational power and software for accurate and affordable solutions. Practical applications include estimating ocean currents, modeling airflow over airplanes, and general simulations in engineering.

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.

8. APPLICATIONS OF NUMERICALMETHODS

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

14. Curve fitting

15. THANK YOU !!!