Generating pseudo random numbers To find value of pi using Monte Carlo simulations.

To determine the root of polynomial of third degree or quadratic.

To determine roots of f(x)=x-tan(x), then using the root calculate normalized Intensity in single slit Fraunhofer diffraction using formula –

Recursive method for finding the root for the polynomials by successive approximation. Similar to Regular-Falsi.

The fixed point iteration method uses the concept of a fixed point in a repeated manner to compute the solution of the given equation.

The trapezoidal rule is applied to solve the definite integral of the form b∫a f(x) dx, by approximating the region under the graph of the function f(x) as a trapezoid and calculating its area.

Simpson's rule is one of the numerical methods which is used to evaluate the definite integral. Usually, to find the definite integral, we use the fundamental theorem of calculus, where we have to apply the antiderivative techniques of integration.

This rule is also known as Newton's 3/8 rule. The first two arguments (function expression and range) can be replaced by a definite integral. If the independent variable can be uniquely determined from the expression, the parameter x need not be included in the calling sequence.

In mathematics and computational science, the Euler method (also called forward Euler method) is a first-order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value.

In mathematics and computational science, It works first by approximating a value to yi+1 and then improving it by making use of average slope.

A palindrome is a word, number, phrase, or other sequence of characters which reads the same backward as forward, such as madam or racecar.

LCM stands for least common multiple. The least common multiple of two numbers is the smallest number that is a multiple of both of them.

The sequence follows the rule that each number is equal to the sum of the preceding two numbers. The Fibonacci sequence begins with the following 14 integers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ... Each number, starting with the third, adheres to the prescribed formula.