3 Methods for the Control of Convergence in Obtained Solutions

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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

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本章目录

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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
- 3.1 Selection of the auxiliary linear operator and base function representation
- 3.1.1 Method of linear partition matching
- 3.1.2 Method of highest order differential matching
- 3.1.3 Method of complete differential matching
- 3.1.4 Initial versus boundary value problems
- 3.1.5 Additional options for the selection of an auxiliary linear operator.
- 3.1.6 Remarks on the solution expression.
- 3.2 The role of the auxiliary function
- 3.3 Selection of the convergence control parameter
- 3.4 Optimal convergence control parameter value and the Lane-Emden equation of the first kind
- 3.4.1 Physical background
- 3.4.2 Analytic solutions via Taylor series
- 3.4.3 Analytic solutions via homotopy analysis
- References

3 Methods for the Control of Convergence in Obtained Solutions

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