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The project involves using Matlab to analyze non-linear equations. The aim is to gain a deeper understanding of the equations by using computer-aided numerical analysis and visualizing the results through graphs and charts.

License: MIT License

MATLAB 100.00%
bisection-method false-position-method matlab newton-raphson numerical-analysis secant-method

non-linear-equations-analysis-with-matlab's Introduction

Non-Linear Equations Analysis With Matlab ๐Ÿ”ข๐Ÿ“ˆ

The project involves using Matlab to analyze non-linear equations. The aim is to gain a deeper understanding of the equations by using computer-aided numerical analysis and visualizing the results through graphs and charts.

Explaination ๐Ÿ“–

Why we need numerical analysis?

Non-linear equations are commonly found in many real-world phenomena, such as in the fields of physics, biology, economics, and more. These equations are often too complex to be solved analytically, and therefore, numerical analysis is needed to understand their behavior.

A project analyzing non-linear equations using Matlab provides the ability to study the equations in greater detail, identify patterns and relationships, and make predictions about their behavior. This is useful in many applications, such as understanding complex systems, making informed decisions, and developing new technologies.

Numerical Methods to solve equations ๐Ÿš€

  • Bisection
  • False Postion
  • Fixed Point
  • Newton-Raphson
  • Secant

Code Need to Know ๐Ÿ“Š

You can find the implementation of each code and it's psuedocode in the report

Demo Example ๐Ÿงช

Using Bisection Method Using Secant Method

  • Further Cases can be found in the report associated with the project. Feel free to expriment yourself or add other Demos.

Table of contents ๐Ÿท๏ธ

File Name Description
Report.pdf Contains the psuedocode,it's implementation,and running cases with various functions.
techinques.m Contains matlab code of functions implementation.
v1.m Contains matlab code of Visuals.

Pre-requisites ๐Ÿช›

  • Matlab

Run ๐ŸŸข

  • Open Directory in matlab
  • Run The Figure

Licensing ๐Ÿ“

This code is licensed under the MIT License.

Authors ๐Ÿ–Š๏ธ

  • Marwan Radwan
  • Mariam Atef Hassan
  • Sarah Sherien Abdel-Fattah
  • Yasmine Emad

Contribution ๐Ÿฅ‚

Feel free to contribute just make a pull request and do what you wish. ๐Ÿ˜ผ

License

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