Find the solution of the following equation using the Newton Raphson Method:
Write a Python 3 code for this method.
We must choose an initial value of x:
Let’s plug the above value into the equation:
The next value of x will be found according to the following formula:
We will continue finding the next x values until the difference between the adjacent values is small enough:
values are equal, the root of the equation is 0.73518.
Python 3 Code
Firstly, we will define a function for the equation:
Also, we should write a function for numerical calculation of the equation’s derivative. We will use the central difference method with the step of
for each side:
And before writing the main function, we will define a function for the next x value calculation:
Lastly, let’s define the main function:
To simplify reading the variables and find the next x value:
Let’s repeat the above procedure until the difference between the adjacent x values is greater than
At last, the x value is returned:
The entire code:
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