Homotopy Analysis Method in Nonlinear Differential Equations

• Main Author: Liao, Shijun (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Subjects: Mathematics.; Differential equations.; Partial differential equations.; Statistical physics.; Applied mathematics.; Engineering mathematics.; Partial Differential Equations.; Nonlinear Dynamics.; Appl.Mathematics/Computational Methods of Engineering.; Ordinary Differential Equations.

"Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM).  Unlike perturbation methods, the HAM has nothing to do with small...

Table of Contents:

• Basic Ideas
• Systematic Descriptions
• Advanced Approaches
• Convergent Series For Divergent Taylor Series
• Nonlinear Initial Value Problems
• Nonlinear Eigenvalue Problems
• Nonlinear Problems In Heat Transfer
• Nonlinear Problems With Free Or Moving Boundary
• Steady-State Similarity Boundary-Layer Flows
• Unsteady Similarity Boundary-Layer Flows
• Non-Similarity Boundary-Layer Flows
• Applications In Numerical Methods.