| 書(shū)目名稱 | Nonlinear Ordinary Differential Equations | | 副標(biāo)題 | Analytical Approxima | | 編輯 | Martin Hermann,Masoud Saravi | | 視頻video | http://file.papertrans.cn/668/667612/667612.mp4 | | 概述 | Investigates various new analytical and numerical approximation techniques used in solving nonlinear oscillators and structural systems problems.Discusses many applications of analytical and numerical | | 圖書(shū)封面 |  | | 描述 | The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. It also discusses using these methods to solve some strong nonlinear ODEs.? There are two chapters devoted to solving nonlinear ODEs using numerical methods, as in practice high-dimensional systems of nonlinear ODEs that cannot be solved by analytical approximate methods are common. Moreover, it studies analytical and numerical techniques for the treatment of parameter-depending ODEs..The book explains various methods for solving nonlinear-oscillator and structural-system problems, including the energy balance method, harmonic balance method, amplitude frequency formulation, variational iteration method, homotopy perturbation method, iteration perturbation method, homotopy analysis method, simple and multiple shooting method, and the nonlinear stabilized march method. This book comprehensively investigates various new analytical and numerical approximation techniques that are used in solving nonlinear-oscillator and structural-syst | | 出版日期 | Textbook 2016 | | 關(guān)鍵詞 | Adomian Decomposition Method; Energy Balance Method; Homotopy Analysis Method; Perturbation Method; Vari | | 版次 | 1 | | doi | https://doi.org/10.1007/978-81-322-2812-7 | | isbn_softcover | 978-81-322-3845-4 | | isbn_ebook | 978-81-322-2812-7 | | copyright | Springer India 2016 |
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