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Liao, Shijun

Homotopy Analysis Method in Nonlinear Differential Equations

Liao, Shijun - Homotopy Analysis Method in Nonlinear Differential Equations, ebook

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Ebook, PDF with Adobe DRM
ISBN: 9783642251320
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Table of contents

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)
Publisher
Springer
Publication year
2012
Language
en
Edition
1
Page amount
580 pages
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783642251320

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