Skip to main content

Predictor-Corrector Method

Predictor-Corrector Method is one of the important method as it predicts the values and then corrects itself.  This method is different from the Runge-Kutta method as the Runge-Kutta method needs only the information of only the previous one value. Second, the Predictor-Corrector method requires less computation at each step than the Runge-Kutta method.
In this article, we will discuss two methods. One is Milne's method and the other is the Adams-Bashforth method. We discussed a few solved examples of both the methods and in the end we provide a few unsolved questions for practice.
Conclusion: So, we have discussed here the Predictor-Corrector methods, that is, Milne's method and Adams-Bashforth formula and discussed a few numerical based on these methods. Try to solve these numerical to understand the procedure of the Predictor-Corrector method.
Labels:

Comments

Post a Comment

Popular posts from this blog

Newton‑Raphson Method | Root‑finding Tutorial with Examples (GATE / Engineering Math)

What is the Newton‑Raphson Method? Derivation of the Algorithm Step-by-Step Example Convergence and Limitations Application in GATE / Engineering Maths Download PDF Notes Newton-Raphson Method:     In this article, we discuss the formula of the Newton-Raphson method, its limitations, and its advantages. Also, we provide a few solved examples and a few unsolved questions for practice.       We discuss Newton iterative formula and then solve a few questions using these iterative formulae. For practice unsolved questions are also provided. This method is generally used to improve the results obtained by one of the previous methods. This method can be derived from Taylor's series.  The formula used as follows: $x_{n+1}= x_n - \frac{f(x_n)}{f'(x_n)}$  NOTE: (1)] This method is useful in cases of large values of $f'(x)$ that is , when the graph of $f(x)$ while crossing the x-axis is nearly vertical. (2)] If $f'(x)$ is zero or nearly zero, the me...
Post a Comment
Read more

Surface Area and Volume- Exercise 13.1 questions 1 to 5- Easy to understand

Surface area and volume- An important topic of NCERT class 10th class but students feel this chapter is very difficult because they are not relating this concept in their daily routine. In our day-to-day life, we come across a number of solids made up of combinations of two or more of the basic solids.  You may have seen an object a small test tube funnel. You would have used one in your science laboratory. This funnel is also a combination of a cylinder and a cone. Similarly, you may have seen some big and beautiful resorts made up of a combination of solids like a cylinder and hemisphere. Surface Area of a Combination of Solids: Let us consider the funnel seen above picture. How do we find the surface area of such a solid? We first try to see, if we can break it down into smaller problems, we have earlier solved. We can see that this solid is made up of a cylinder with a cone. It would look like what we have below diagram after we put the pieces all together. If we consider the s...
Post a Comment
Read more