Numerical Method

The fixed-point iteration method is a numerical technique used to approximate the roots of a function. Itis based on the concept of a fixed point, which is a point at which a function f(x) takes on the same valueas x.The basic idea of the fixed-point iteration method is to start with an initial guess 𝑥0,

The Newton-Raphson method is a technique for approximating the roots of a continuous anddifferentiable function that uses the tangent line to the function at each iteration. The method aims toquickly find a good approximation for the root of the function by approximating it with a straight line thatis tangent to the function. This method is

The false position method is a type of bracketing method, which means that it always generates asequence of intervals that contains the root. It is guaranteed to converge to a root if the function iscontinuous and changes sign within the interval [a,b]. However, the method may converge very slowly ornot at all if the function

Nonlinear equations are mathematical expressions that describe a relationship between two or morevariables where the relationship is not proportional or linear. In other words, nonlinear equations arethose that involve at least one term that has a power greater than one, or products or ratios of variables,which create curves and nonlinear relationships between the variables.For any