We can solve non-linear algebraic equations numerically by Bisection method, Regula-Falsi method, and Newton Raphson method. All methods are iterative method and we will discuss them one by one with the help of video lectures. Each video lecture covers one example, so watch the series of video tutorials to learn the numerical method to solve the non-linear algebraic equation.
We have already discussed the solution of the system of linear equations, numerical solution of definite integrals, and the numerical solution of differential equations in our previous posts. If you want to learn these concepts then click on their respective links.
In the bisection method, we choose two points (say a and b) and then we take the average of these two points as our first approximation. This means we bisect the line joining two points a and b. Hence this method is known as the bisection method. Learn this method by video tutorials given below.
The Regula-Falsi method is also called the method of false position. In this method, we choose two points as initial points and find the equation of the chords connecting these points. The root of the chord is our first approximation of the root of the algebraic equation. You can better understand this concept with the help of the video tutorial given below.
Newton-Raphson method is a very popular method to find the root of algebraic non-linear equations numerically. Here we guess the initial approximation of the root and find the next approximations with the help of previous approximations. Watch the video lecture given below to grab the topic efficiently.
That is all of this post. Each video lecture contains at least one example to illustrate the topic effectively. Learn each topic with full potential and watch the video on repeat until you get the concept. We are continuously bringing higher engineering mathematics videos and basic maths videos. Hope! you like them.
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