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Physics - Complexity | Nonlinear Equations - Analytical Methods and Applications

Nonlinear Equations

Analytical Methods and Applications

Kachapi, Seyed Habibollah Hashemi, Ganji, Davood Domairry

2015, Approx. 275 p.

A product of Cambridge International Science Publishing Ltd.

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ISBN 978-1-907343-81-0

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  • Over 300 references
  • Provides examples of applications for the methods discussed
  • Introduces and discusses different methods in separate chapters and provides examples for each method described
The present text reflects developments in the literature on nonlinear systems, while retaining a reader-friendly presentation. It has been developed from problems on nonlinear differential equations given over several years in the nonlinear dynamics team  at the Mechanical Department of Babol Noshirvani University of Technology.  A large variety of applied processes in both linear and nonlinear forms for important nonlinear differential equations are covered, enabling readers to  solve  problems without needing  to refer to other sources.  An introduction to  systems in the context of nonlinear differential equations is provided and is suitable for courses of varying emphasis. The chapters  are designed to be self-contained so readers can easily navigate to the material of interest.  Emphasis is given to direct applications of the subject matter, and will therefore be of particular  interest  to students of engineering, mathematics and the natural sciences.  The most recent analytic methods and developments are included and  over 300 references are given. In addition to discussing  linear and nonlinear problems, demonstrated solutions  are provided.

Content Level » Research

Keywords » Analytical and Numerical Analysis - Applications of Homotopy Peturbation method - Applications of Nonlinear Analysis - F-Expansion Methods in Partials and beyond - Generalized Tan-Coth Method in Practice - Homotopy Analysis and Usage of - Nonlinear Dynamic and Vibratory Systems

Related subjects » Complexity - Computational Intelligence and Complexity - Computational Science & Engineering - Statistical Physics & Dynamical Systems

Table of contents 

From the Contents: Exp –Function Method.- F-Expansion Method.- (G' G) -Expansion Method.- Sine-Cosine Function Method.- Tanh-Coth Method.- Homotopy Perturbation Method.- Variational Iteration Method.- Coupled Method of Homotopy Perturbation and Variational Method.- Homotopy Analysis Method.- Adomian’s Decomposition Method.- Differential Transformation Method.- Energy Balance Method.- Applied Problems in Engineering and Applied sciences.

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