The Resource Homotopy analysis method in nonlinear differential equations, Shijun Liao
Homotopy analysis method in nonlinear differential equations, Shijun Liao
Resource Information
The item Homotopy analysis method in nonlinear differential equations, Shijun Liao represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Homotopy analysis method in nonlinear differential equations, Shijun Liao represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Extent
 1 online resource (xiv, 565 pages)
 Contents

 Part II.
 Mathematica Package BVPh and Its Applications
 Mathematica Package BVPh
 Nonlinear Boundaryvalue Problems with Multiple Solutions
 Nonlinear Eigenvalue Equations with Varying Coefficients
 A Boundarylayer Flow with an Infinite Number of Solutions
 Nonsimilarity Boundarylayer Flows
 Unsteady Boundarylayer Flows
 Part III.
 Applications in Nonlinear Partial Differential Equations
 Part I.
 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
 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
 Isbn
 9783642251320
 Label
 Homotopy analysis method in nonlinear differential equations
 Title
 Homotopy analysis method in nonlinear differential equations
 Statement of responsibility
 Shijun Liao
 Subject

 Differential Equations.
 Differential equations, Nonlinear
 Differential equations, Nonlinear
 Differential equations, Nonlinear
 Differential equations, Partial
 Differential equations, Partial
 Differential equations, Partial
 Differential equations, partial.
 Engineering mathematics.
 Appl. Mathematics/Computational Methods of Engineering.
 Homotopy theory
 Homotopy theory
 MATHEMATICS  Differential Equations  General
 Mathematical analysis
 Mathematical analysis
 Mathematical analysis
 Mathematics
 Ordinary Differential Equations.
 Partial Differential Equations.
 Homotopy theory
 Language
 eng
 Summary
 Annotation
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1963
 http://library.link/vocab/creatorName
 Liao, Shijun
 Dewey number
 515/.355
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA372
 LC item number
 .L53 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 NLM call number
 Online Book
 http://library.link/vocab/subjectName

 Differential equations, Nonlinear
 Differential equations, Partial
 Homotopy theory
 Mathematical analysis
 Mathematics
 MATHEMATICS
 Differential equations, Nonlinear
 Differential equations, Partial
 Homotopy theory
 Mathematical analysis
 Summary expansion
 "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 equationtype of linear subproblems 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 HAMbased Mathematica package BVPh 1.0 for nonlinear boundaryvalue 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
 Label
 Homotopy analysis method in nonlinear differential equations, Shijun Liao
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Part II.
 Mathematica Package BVPh and Its Applications
 Mathematica Package BVPh
 Nonlinear Boundaryvalue Problems with Multiple Solutions
 Nonlinear Eigenvalue Equations with Varying Coefficients
 A Boundarylayer Flow with an Infinite Number of Solutions
 Nonsimilarity Boundarylayer Flows
 Unsteady Boundarylayer Flows
 Part III.
 Applications in Nonlinear Partial Differential Equations
 Part I.
 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
 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
 Control code
 796995045
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 565 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783642251320
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 9786613768537
 Other physical details
 illustrations (some color)
 http://library.link/vocab/ext/overdrive/overdriveId
 376853
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)796995045
 Label
 Homotopy analysis method in nonlinear differential equations, Shijun Liao
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Part II.
 Mathematica Package BVPh and Its Applications
 Mathematica Package BVPh
 Nonlinear Boundaryvalue Problems with Multiple Solutions
 Nonlinear Eigenvalue Equations with Varying Coefficients
 A Boundarylayer Flow with an Infinite Number of Solutions
 Nonsimilarity Boundarylayer Flows
 Unsteady Boundarylayer Flows
 Part III.
 Applications in Nonlinear Partial Differential Equations
 Part I.
 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
 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
 Control code
 796995045
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 565 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783642251320
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 9786613768537
 Other physical details
 illustrations (some color)
 http://library.link/vocab/ext/overdrive/overdriveId
 376853
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)796995045
Subject
 Differential Equations.
 Differential equations, Nonlinear
 Differential equations, Nonlinear
 Differential equations, Nonlinear
 Differential equations, Partial
 Differential equations, Partial
 Differential equations, Partial
 Differential equations, partial.
 Engineering mathematics.
 Appl. Mathematics/Computational Methods of Engineering.
 Homotopy theory
 Homotopy theory
 MATHEMATICS  Differential Equations  General
 Mathematical analysis
 Mathematical analysis
 Mathematical analysis
 Mathematics
 Ordinary Differential Equations.
 Partial Differential Equations.
 Homotopy theory
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