Homotopy Analysis Method in Nonlinear Differential Equations

Authors: Liao, Shijun

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  • Develops a powerful analytic method for strongly nonlinear differential equations
  • Offers the latest theoretical developments of the method
  • Demonstrates various novel, interesting applications in science, engineering and finance
  • Includes free symbolic computation codes for easy understanding and use
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  • ISBN 978-3-642-25132-0
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About this book

"Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM).  Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters.  In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution.  Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts.  Part I provides its basic ideas and theoretical development.  Part II presents the HAM-based Mathematica package BVPh 1.0 for nonlinear boundary-value problems and its applications.  Part III shows the validity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves.  New solutions to a number of nonlinear problems are presented, illustrating the originality of the HAM.  Mathematica codes are freely available online to make it easy for readers to understand and use the HAM.   

This book is suitable for researchers and postgraduates in applied mathematics, physics, nonlinear mechanics, finance and engineering.

Dr. Shijun Liao, a distinguished professor of Shanghai Jiao Tong University, is a pioneer of the HAM. 

Table of contents (16 chapters)

Table of contents (16 chapters)

Buy this book

eBook 74,89 €
price for India (gross)
  • ISBN 978-3-642-25132-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Homotopy Analysis Method in Nonlinear Differential Equations
Authors
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Higher Education Press,Beijng and Springer-Verlag GmbH Berlin Heidelberg
eBook ISBN
978-3-642-25132-0
DOI
10.1007/978-3-642-25132-0
Edition Number
1
Number of Pages
X, 400
Number of Illustrations
50 b/w illustrations
Additional Information
Jointly published with Higher Education Press
Topics