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Homotopy Analysis Method in Nonlinear Differential Equations - Hardcover

 
9783642251313: Homotopy Analysis Method in Nonlinear Differential Equations

Synopsis

"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. 

"synopsis" may belong to another edition of this title.

  • PublisherSpringer
  • Publication date2012
  • ISBN 10 3642251315
  • ISBN 13 9783642251313
  • BindingHardcover
  • LanguageEnglish
  • Number of pages400

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9783642251337: Homotopy Analysis Method in Nonlinear Differential Equations

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ISBN 10:  3642251331 ISBN 13:  9783642251337
Publisher: Springer
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International Edition
International Edition

Liao, Shijun
Published by Springer, 2012
ISBN 10: 3642251315 ISBN 13: 9783642251313
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Hardcover. Condition: New. Dust Jacket Condition: New. International Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-7970845521

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International Edition
International Edition

Liao, Shijun
ISBN 10: 3642251315 ISBN 13: 9783642251313
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International Edition

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Hardcover. Condition: New in new dust jacket. First edition. 2012. INTERNATIONAL EDITI. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. 400 p. Audience: Professional and scholarly. Seller Inventory # K031H0000684

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