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. This module contain some basic Functions so that it makes easyer to reuse them
Project description
VERSION 1.0.0
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.
Official Release
How to Install
Pip install this module from your console
pip install numerical-analysis-aman
Import this module to your Work Space
# Import In Python File
import Numerical_Analysis_Aman as na
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 Methodx.Simpson_13(itration=2)
Simpson 1/3x.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 )
Eularx.EularModified( itration = 4 )
EularModifiedx.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()
Langrangianx.Newton_Divided()
Newton Divided Differencesx.Newton_Forward()
Newton Forwardx.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)
Jacobix.Gauss_Seidel(itration=6)
Gauss Seidelx.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
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
If any Issue Contact Me through Email aman.kanojiya4203@gmail.com
license
This repository is licensed under the MIT license.
See LICENSE for details.
Project details
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