Liao, Shijun
Homotopy Analysis Method in Nonlinear Differential Equations
Part I. Basic Ideas and Theorems
1. Introduction
Shijun Liao
2. Basic Ideas of the Homotopy Analysis Method
Shijun Liao
3. Optimal Homotopy Analysis Method
Shijun Liao
4. Systematic Descriptions and Related Theorems
Shijun Liao
5. Relationship to Euler Transform
Shijun Liao
6. Some Methods Based on the HAM
Shijun Liao
Part II. Mathematica Package BVPh and Its Applications
7. Mathematica Package BVPh
Shijun Liao
8. Nonlinear Boundary-value Problems with Multiple Solutions
Shijun Liao
9. Nonlinear Eigenvalue Equations with Varying Coefficients
Shijun Liao
10. A Boundary-layer Flow with an Infinite Number of Solutions
Shijun Liao
11. Non-similarity Boundary-layer Flows
Shijun Liao
12. Unsteady Boundary-layer Flows
Shijun Liao
Part III. Applications in Nonlinear Partial Differential Equations
13. Applications in Finance: American Put Options
Shijun Liao
14. Two and Three Dimensional Gelfand Equation
Shijun Liao
15. Interaction of Nonlinear Water Wave and Nonuniform Currents
Shijun Liao
16. Resonance of Arbitrary Number of Periodic Traveling Water Waves
Shijun Liao
Keywords: Mathematics, Partial Differential Equations, Nonlinear Dynamics, Appl.Mathematics/Computational Methods of Engineering, Ordinary Differential Equations
- Author(s)
- Liao, Shijun
- Publisher
- Springer
- Publication year
- 2012
- Language
- en
- Edition
- 1
- Page amount
- 580 pages
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (PDF)
- 9783642251320