Modeling and analysis of modern fluid problems / by Liancun Zheng and, Xinxin Zhang

By:

Zheng, Liancun [Author]

Contributor(s):

Zhang, Xinxin [Author]

Material type: Text

TextSeries: Mathematics in science and engineeringPublication details: London: Academic Press is an imprint of Elsevier, 2017Edition: 1st edDescription: xii, 467 pages : ill. ; 24 cmISBN:

9780128117538

Subject(s):

DDC classification:

518 ZHM

Contents:

1. Introduction

1.1 BASIC IDEALS OF ANALYTICAL METHODS

1.2 REVIEW OF ANALYTICAL METHODS

1.4 NUMERICAL METHODS;

1.5 MODELING AND ANALYSIS FOR MODERN FLUID PROBLEMS;

1.6 OUTLINE; REFERENCES

2. Embedding-Parameters Perturbation Method

3. Adomian Decomposition Method

Summary: Summary:Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and 'exact' solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers PadïÅ½ approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth

Item type:

Books List(s) this item appears in: Mathematics School

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Holdings
Item type	Current library	Collection	Shelving location	Call number	Copy number	Status	Date due	Barcode
Books	KU Central Library	Rack No. : 16 Annex : 01 Shelve No. : A-01	Reference Section (Non-Issuable Books)	518 ZHM 2017 (Browse shelf(Opens below))	C-1 (NI)	Not For Loan		51837

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Previous	516.24 MUT 1989 A text book on higher trigonometry.	516.35 MIT 1996 A textbook of differential geometry/	517.8 BRD 1996 Complex variables and applications	518 ZHM 2017 Modeling and analysis of modern fluid problems /	519.053 FRB 2021 Business Statistics /

includes index

1. Introduction

1.1 BASIC IDEALS OF ANALYTICAL METHODS

1.2 REVIEW OF ANALYTICAL METHODS

1.4 NUMERICAL METHODS;

1.5 MODELING AND ANALYSIS FOR MODERN FLUID PROBLEMS;

1.6 OUTLINE; REFERENCES

2. Embedding-Parameters Perturbation Method

3. Adomian Decomposition Method

Summary:Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and 'exact' solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers PadïÅ½ approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth

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