arsham1024 / numerical_methods

This package has the implementation of 5 numerical methods: bisection, false-position, secant, modified secant, and Newton

Numerical Methods

I developed these algorithms to find approximate the value of the root(s) of a function: 1. Bisection 2. False-Position 3. Secant 4. Modified-Secant 5. Newton

This was done for CS 3010 Numerical Methods

Description:

All of these methods are used to approximate the value of a root of a function, These are all itterative methods that can converge to a specific root or diverge if the inital value is not chosen correctly. There is an accompanying write up doc for more explanation.

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Specifications:

These methods are very similar to each other with minor difference.

Both methods will run 50 times maximum.

There are 2 functions to solve.

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Functions:

Function 1:

f(X) = 2X³ – 11.7X² + 17.7x – 5

Function 2:

f(X) = X + 10 – Xcosh(50/X)