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Homotopy analysis method in nonlinear differential equations

Author: Shijun Liao
Publisher: Beijing : Higher Education Press ; Heidelberg ; New York, N.Y. : Springer, ©2012.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
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Liao, Shijun, 1963-
Homotopy analysis method in nonlinear differential equations.
Beijing : Higher Education Press ; Heidelberg ; New York, N.Y. : Springer, ©2012
(DLC) 2011941367
(OCoLC)756595131
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Shijun Liao
ISBN: 9783642251320 3642251323 7040322986 9787040322989
OCLC Number: 796995045
Description: 1 online resource (xiv, 565 pages) : illustrations (some color)
Contents: Part I. Basic Ideas and Theorems --
Introduction --
Basic Ideas of the Homotopy Analysis Method --
Optimal Homotopy Analysis Method --
Systematic Descriptions and Related Theorems --
Relationship to Euler Transform --
Some Methods Based on the HAM --
Part II. Mathematica Package BVPh and Its Applications --
Mathematica Package BVPh --
Nonlinear Boundary-value Problems with Multiple Solutions --
Nonlinear Eigenvalue Equations with Varying Coefficients --
A Boundary-layer Flow with an Infinite Number of Solutions --
Non-similarity Boundary-layer Flows --
Unsteady Boundary-layer Flows --
Part III. Applications in Nonlinear Partial Differential Equations --
Applications in Finance: American Put Options --
Two and Three Dimensional Gelfand Equation --
Interaction of Nonlinear Water Wave and Nonuniform Currents --
Resonance of Arbitrary Number of Periodic Traveling Water Waves.
Responsibility: Shijun Liao.

Abstract:

This book presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Reviews basic concepts and  Read more...

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