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力学基础与工程技术前沿
流动非线性及其同伦分析: 流体力学和传热(英文版)(Nonlinear Flow
作 者:
Kuppalapalle Vajravelu等
ISBN:978-7-04-035449-2 出版时间:2012-09-07
全书目录
本章目录
内封
版权
目录
Front Matter
1 Introduction
2 Principles of Homotopy Analysis.
3 Methods for the Control of Convergence in Obtained Solutions
4 Additional Techniques
5 Application of the Homotopy Analysis Method to Fluid Flow Problems
6 Further Applications of the Homotopy Analysis Method
Subject Index
Author Index
2.1 Principles of homotopy and the homotopy analysis method
2.2 Construction of the deformation equations
2.3 Construction of the series solution
2.4 Conditions for the convergence of the series solutions
2.5 Existence and uniqueness of solutions obtained by homotopy analysis
2.6 Relations between the homotopy analysis method and other analytical methods
2.7 Homotopy analysis method for the Swift-Hohenberg equation
2.7.1 Application of the homotopy analysis method
2.7.2 Convergence of the series solution and discussion of results
2.8 Incompressible viscous conducting fluid approaching a permeable stretching surface.
2.8.1 Exact solutions for some special cases
2.8.2 The case of G _= 0
2.8.3 The case of G = 0
2.8.4 Numerical solutions and discussion of the results
2.9 Hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet
2.9.1 Formulation of the mathematical problem
2.9.2 Exact solutions
2.9.3 Constructing analytical solutions via homotopy analysis
References
2 Principles of Homotopy Analysis.
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