Beyond Perturbation: Introduction to the Homotopy Analysis Method
Beyond Perturbation: Introduction to the Homotopy Analysis Method
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DOI：
10.1115/1.1818689
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发表时间：
2003-10
期刊：
影响因子：
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通讯作者：
S. Liao;S. Sherif
中科院分区：
文献类型：
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作者：
S. Liao;S. Sherif
第一部分基本思想介绍说明性描述系统描述与以前的一些分析方法的关系优点、局限性和公开问题第二部分应用非线性问题的简单分支非线性问题的多解Thomas-Fermi原子模型Volterra种群模型具有二次非线性极限环的奇异非线性自由振动系统Blasius具有指数特性的粘性流动边界层流动具有代数性质的边界层流动具有代数性质的Von Karman涡流深水流动中的非线性行进波
PART I BASIC IDEAS Introduction Illustrative Description Systematic Description Relations to Some Previous Analytic Methods Advantages, Limitations, and Open Questions PART II APPLICATIONS Simple Bifurcation of a Nonlinear Problem Multiple Solutions of a Nonlinear Problem Nonlinear Eigenvalue Problem Thomas-Fermi Atom Model Volterra's Population Model Free Oscillation Systems with Odd Nonlinearity Free Oscillation Systems with Quadratic Nonlinearity Limit Cycle in a Multidimensional System Blasius' viscous Flow Boundary-layer Flow with Exponential Property Boundary-layer Flow with Algebraic Property Von Karman Swirling Flow Nonlinear Progressive Waves in Deep Water BIBLIOGRAPHY INDEX