Modeling and analysis of modern fluid problems
著者
書誌事項
Modeling and analysis of modern fluid problems
（Mathematics in science and engineering / series editor, Goong Chen）
Academic Press, an imprint of Elsevier, c2017
- pbk.
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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 Pade 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.
目次
1. Introduction2. Embedding-Parameters Perturbation Method3. Adomian Decomposition Method4. Homotopy Analytical Method5. Differential Transform Method6. Variational Iteration Method and Homotopy Perturbation Method7. Exact Analytical Solutions for Fractional Viscoelastic Fluids8. Numerical Methods
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