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Homotopy analysis method in nonlinear differential equations /

Bibliographic Details
Main Author: Liao, Shijun, 1963-
Corporate Author: Ebook Library
Format: eBook
Language:English
Published: Beijing : Heidelberg ; New York, N.Y. : Higher Education Press ; Springer, [2012]
Dordrecht : Springer, 2012.
Subjects:
Differential equations, Nonlinear.
Differential equations, Partial.
Homotopy theory.
Mathematical analysis.
Dynamics.
Mathematics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Part I. Basic Ideas and Theorems
  • Introduction
  • Basic Ideas of the Homotopy Analysis Method
  • Optimal Homotopy Analysis Method
  • Systematic Descriptions and Related Theorems
  • Relationship to Euler Transform
  • Some Methods Based on the HAM
  • Part II. Mathematica Package BVPh and Its Applications
  • Mathematica Package BVPh
  • Nonlinear Boundary-value Problems with Multiple Solutions
  • Nonlinear Eigenvalue Equations with Varying Coefficients
  • A Boundary-layer Flow with an Infinite Number of Solutions
  • Non-similarity Boundary-layer Flows
  • Unsteady Boundary-layer Flows
  • Part III. Applications in Nonlinear Partial Differential Equations
  • Applications in Finance: American Put Options
  • Two and Three Dimensional Gelfand Equation
  • Interaction of Nonlinear Water Wave and Nonuniform Currents
  • Resonance of Arbitrary Number of Periodic Traveling Water Waves.