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https://github.com/amankanojiya/numerical_analysis
This Module is Numerical analysis, an area of mathematics and computer science that creates, analyzes, and implements algorithms for obtaining numerical solutions to problems involving continuous variables. Such problems arise throughout the natural sciences, social sciences, engineering, medicine, and business.
https://github.com/amankanojiya/numerical_analysis
contribution contributions-welcome gauss-seidel hacktoberfest iit india integration interpolation module numerical-analysis numpy pypi pypi-package pypi-packages python python3 scipy simpsons
Last synced: 3 months ago
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This Module is Numerical analysis, an area of mathematics and computer science that creates, analyzes, and implements algorithms for obtaining numerical solutions to problems involving continuous variables. Such problems arise throughout the natural sciences, social sciences, engineering, medicine, and business.
- Host: GitHub
- URL: https://github.com/amankanojiya/numerical_analysis
- Owner: AMANKANOJIYA
- License: apache-2.0
- Created: 2021-05-25T17:45:54.000Z (over 3 years ago)
- Default Branch: master
- Last Pushed: 2023-10-31T16:40:57.000Z (about 1 year ago)
- Last Synced: 2024-10-11T12:21:47.009Z (3 months ago)
- Topics: contribution, contributions-welcome, gauss-seidel, hacktoberfest, iit, india, integration, interpolation, module, numerical-analysis, numpy, pypi, pypi-package, pypi-packages, python, python3, scipy, simpsons
- Language: Python
- Homepage:
- Size: 762 KB
- Stars: 8
- Watchers: 1
- Forks: 2
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
- Code of conduct: CODE_OF_CONDUCT.md
Awesome Lists containing this project
README
# VERSION 1.0.1
[](https://pepy.tech/project/numerical-analysis-aman)
[](https://pepy.tech/project/numerical-analysis-aman)
[](https://pepy.tech/project/numerical-analysis-aman)
# Numerical Analysis
This Module is Numerical analysis, area of mathematics and computer science that creates, analyzes, and implements algorithms for obtaining numerical solutions to problems involving continuous variables. Such problems arise throughout the natural sciences, social sciences, engineering, medicine, and business.
## New Added
- [Numerical-analysis](README.md)
- **[Vector](Vector.md)**
## Official Release
## How to Install
Pip install this module from your console
```bash
pip install numerical-analysis-aman
```
Import this module to your Work Space
```python
# Import In Python File
from Numerical_Analysis_Aman import
# =>> _MODULES_
# -> Numerical_Algebra
# -> Numerical_Analysis
# -> Numerical_Integration
# -> Numerical_Interpolation
# Import all
from Numerical_Analysis_Aman import *
```
## Explore (How It Works)
This at present contain 4 parts You can explore them from Below and have some
idea about all methods and Functions
### Numerical Integration
This part contain interpolation.
`x=Numerical_Analysis_Aman.Numerical_Integration(lower,upper,function)`
- `x.Trapazoid(itration=2)` Trapazoid Method
- `x.Simpson_13(itration=2)` Simpson 1/3
- `x.Simpson_38(itration=2)` Simpson 3/8
### Numerical Analysis
This part contain Integration Method having Three method
`x = Numerical_Analysis_Aman.Numerical_Analysis(x_0,y_0,x_given,gap,function)`
- `x.Eular( itration = 4 )` Eular
- `x.EularModified( itration = 4 )` EularModified
- `x.RungaKutta( itration = 4 )` RungaKutta
### Numerical Interpolation
This part contain Analysis Method having Four method
`x=Numerical_Analysis_Aman.Numerical_Interpolation(x_list,y_list,find_value)`
- `x.Langrangian()` Langrangian
- `x.Newton_Divided()` Newton Divided Differences
- `x.Newton_Forward()` Newton Forward
- `x.Newton_Backward()` Newton Backward
### Numerical Algebra
This part contain Analysis Method having Three method
`x=Numerical_Analysis_Aman.Numerical_Algebra(list_1,list_2,list_3)`
- `x.Jacobi(itration=6)` Jacobi
- `x.Gauss_Seidel(itration=6)` Gauss Seidel
- `x.Gauss_Seidel_4(list_4,itration=6)` Gauss Seidel for 4 variable
## Usage/Examples
Example and sample for input and how to work on it
```python
import Numerical_Analysis_Aman as na
x = na.Numerical_Integration(2,7,"1/(5*x+3)")
y = na.Numerical_Analysis(0,1,0.2,0.1,"((x**3)*(math.e**(-2*x))-(2*y))")
z = na.Numerical_Interpolation([1891,1901,1911,1921,1931],[46,66,81,93,101],1925)
w = na.Numerical_Algebra([10,1,-1,11.19],[1,10,1,28.08],[-1,1,10,35.61])
# All of them are Initiated at once you can use them individualy as per requirement
# default Itrations - 2
print(x.Trapazoid( ))
print(x.Simpson_13( ))
print(x.Simpson_38( ))
# default Itrations - 4
print(y.Eular( ))
print(y.EularModified( ))
print(y.RungaKutta( ))
print(z.Langrangian( ))
print(z.Newton_Divided( ))
print(z.Newton_Forward( ))
print(z.Newton_Backward( ))
# default Itrations - 6
print(w.Jacobi( ))
print(w.Gauss_Seidel( ))
# needed Additional list for 4 variable
# print(w.Gauss_Seidel_4(list_4))
```
## Contact
### Authors
- [@AmanKanojiya](https://www.github.com/AMANKANOJIYA)
If any Issue Contact Me through Email [email protected]
## license
[](https://github.com/tterb/atomic-design-ui/blob/master/LICENSEs)
This repository is licensed under the MIT license.
See LICENSE for details.