This presentation introduces numerical methods and their applications. Numerical methods use numerical approximations to solve mathematical problems. They are used in various fields like engineering, scientific computing, weather forecasting, estimating ocean currents, modeling airplanes, solving heat equations, and crime detection. The document provides examples of how numerical methods are applied to structural analysis, hydrological forecasting, transportation modeling, integrating and solving differential equations, root finding, numerical optimization, modeling ocean circulation, simulating aircraft wings, and predicting crime patterns.
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NUmerical Method
1. Welcome To My Presentation
Submitted by: Md Takrimuzzaman
ID: 152-15-6130
Submitted to: Mosammat Arifa Aktar
Senior Lecturer in Mathematics
Department Of GED
Daffodil International university
2. Application of Numerical Method
Contents
What is Numerical Method?
Applications of Numerical Method
Weather Forecasting
Engineering
Scientific Computing
Estimation of Ocean Currents
Modeling of Airplane
Heat Equation
Crime Detection
3. What is Numerical Method ?
Numerical Method is the study of algorithms that use
numerical approximation for the problems
of mathematical analysis.
History of Numerical analysis is very long. The first
numerical analysis is Babylonian approximation.
4. Applications of Numerical Method
Engineering
Scientific Computing
Finding Roots
Heat equation
Crime detection
Modeling of Airplane
Estimation of Ocean Currents
Weather Forecasting
5. Weather Forecasting
Modern weather forecasting is now using
the techniques of Numerical Weather
Prediction (NWP).
This method is based on the fact of gases
of the atmosphere, flow of fluids.
6. Numerical Method in Engineering
Structural Analysis
Hydrological Forecasting
Transportation Model
7. Scientific Computing
Computing integrals and derivatives
Solving differential equations
Root finding and numerical optimization
8. Estimation of Ocean Currents
Numerical Method is used to estimate the
value of Ocean Currents.
It make a model of ocean circulation.
9. Modeling of Airplane
Numerical simulations are performed for a
prototype aircraft wing.
A method for predicting aircraft flying
qualities using neural networks
pilot model.
10. Heat Equation
To solve the problem which involve heat
equation in science or engineering fields
we can use the numerical method.
11. Crime Detection
Crime Prediction can be performed by
using Numerical Method.
It predicts Crime by analyzing the data.