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.
Auflage
Sprache
Verlagsort
Zielgruppe
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 235 mm
Breite: 155 mm
ISBN-13
978-1-907343-80-3 (9781907343803)
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Schweitzer Klassifikation
D. D. Ganji is a Professor of Mechanica1 Engineering, and the Director of Graduate program at Babol Noshirvani University of technology as well as a consultant in the field of nonlinear dynamics and also dean of National Elite Foundation of Iran (Bonyad Melli Nokhbeghan), Elite Foundation of Mazandaran province, sari, Iran. He is member of researcher of scopous. He has a PhD in Mechanical Engineering from Tarbiat Modarres University, Iran (2005), MS in Mechanical Engineering from Tehran University, Iran (2000), a BS in Mechanical Engineering Tehran University, Iran (1996) and a Post Graduate Diploma in Mathematics and physics from Iran (1991). Dr. Ganji's specialised areas of teaching and research include mechanical design, vibrations, control systems, engineering system dynamics and statics, advanced engineering mathematics and fluid mechanic. Previously, Dr. Ganji worked at Institute of Industrial research. He has published more than 450 papers in national and international ISI journals and conferences and numerous technical reports. He has authored/co-authored more than 15 engineering books spanning a range of topics that includes control systems, engineering system dynamics, advanced engineering mathematics and numerical methods. Dr. Ganji was selected as scientist in field of engineering from Thompson Reuters for 2008 ~2010 and he has 10 hot papers in field of nonlinear dynamics. He is currently a Professor at the department mechanical engineering, Babol Noshirvani University. His research interests are based on finite difference method, finite volume method, inverse problem, fluid mechanics, aerodynamics, analysis of partial differential equation (PDE) using analytical methods such as homotopy perturbation method (HPM), variational iteration method (VIM), piecewise parabolic method (PPM). He was honored an Appreciation Certificate from the President, Appreciation Certificates from the Minister of Higher Education and Culture, Appreciation Certificates from the Head of Regime Interest Committee. He is the Editor-in-chief of International Journal of Nonlinear Dynamic and Engineering Science (IJNDES), and an Editor of International Journal of Nonlinear Sciences and Numerical Simulation (IJNSNS) and International Journal of Differential Equations (IJDE).
Selected Publications:
1. A new modification of He's homotopy perturbation method for rapid convergence of nonlinear undamped oscillators
Journal of Applied Mathematics and Computing
2. Periodic Solution for Strongly Nonlinear Vibration Systems by He's Energy Balance Method
Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications
3. Application of Homotopy Perturbation Method and Variational Iteration Method to Nonlinear Oscillator Differential Equations
Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications, Volume 104, Number 2 / November, 2008
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.
