Sára Till, Péter Csizmadia, Richárd Wéber

Fluid Flow Systems

Newton’s method

Newton’s method (or Newton-Raphson method; Figure 3.16) is one of the most well-known methods developed for approximating the roots of real functions. In the method, we start from a point relatively close to the real root—according to our guess. The function value is located on the tangent drawn to this point. We calculate the point of intersection of this tangent with the

axis, which point is probably a better approximation of the sought root. By iterating in this way, we get closer and closer to the solution. The tangent is found using the derivative, so the function must be differentiable at the given point.

Tartalomjegyzék

Kiadó: Akadémiai Kiadó

Online megjelenés éve: 2024

ISBN: 978 963 664 044 6

This university textbook is the joint work of the colleagues of the Department of Hydrodynamic Systems, Faculty of Mechanical Engineering at the Budapest University of Technology and Economics. Its main aim is to help students deepen their knowledge of the subject Fluid Flow Systems. It also provides a brief historical overview and a basic introduction to fluid mechanics. It discusses each chapter in varying degrees of detail based on the course material. At the end of each chapter, check questions guide students in their learning.

Hivatkozás: https://mersz.hu/till-csizmadia-weber-fluid-flow-systems//

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