MATHEMATICS III | NEWTON'S RAPHSON| PART 2 | NUMERICAL METHODS
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- เผยแพร่เมื่อ 22 พ.ค. 2024
- Welcome to our in-depth tutorial on the Newton-Raphson Method, a powerful technique used in numerical analysis for finding successively better approximations to the roots (or zeroes) of a real-valued function. In this video, we will cover:
Introduction to the Newton-Raphson Method: Learn the basic principles and how this iterative method is used to find roots of functions.
Mathematical Foundation: Understand the derivation of the Newton-Raphson formula from Taylor series expansion.
Step-by-Step Example: Watch a detailed example demonstrating each step of the Newton-Raphson process.
Algorithm and Pseudocode: Learn how to implement the method with clear and concise pseudocode.
Convergence and Error Analysis: Discover the criteria for convergence and how to analyze errors.
Applications: Explore various applications of the Newton-Raphson method in engineering, physics, and computer science.
Advantages and Limitations: Understand the benefits and potential pitfalls of using this method.
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