| 书目名称 | Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems | | 编辑 | Vasile Marinca,Nicolae Herisanu,Bogdan Marinca | | 视频video | | | 概述 | Offers an introduction to the Optimal Auxiliary Functions Method and applies it to various engineering problems.Provides a simple but rigorous way to control and adjust the convergence of the solution | | 图书封面 |  | | 描述 | .This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of “optimal auxiliary functions” which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergence-control parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made...The book contains a large amount of practical models from various fields of engineering such asclassical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more...The book is a continuation of our previous books “Nonlinear Dynamical Systems in Engineering. Some Ap | | 出版日期 | Book 2021 | | 关键词 | Optimal Auxiliary Functions Method; Blasius Problem; Fluid Mechanics; Thermodynamics; Nonlinear Oscilla | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-75653-6 | | isbn_softcover | 978-3-030-75655-0 | | isbn_ebook | 978-3-030-75653-6 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 17:33:39
