Advances in the Homotopy Analysis Method

✍ Scribed by Shijun Liao, Shijun Liao (eds.)

Publisher: World Scientific Publishing Company
Year: 2014
Tongue: English
Leaves: 426
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. The HAM provides a simple way to guarantee the convergence of solution series. Such uniqueness differentiates the HAM from all other analytic approximation methods. In addition, the HAM can be applied to solve some challenging problems with high nonlinearity.

This book, edited by the pioneer and founder of the HAM, describes the current advances of this powerful analytic approximation method for highly nonlinear problems. Coming from different countries and fields of research, the authors of each chapter are top experts in the HAM and its applications.

Readership: Graduate students and researchers in applied mathematics, physics, nonlinear mechanics, engineering and finance

✦ Table of Contents

Content: A Short Review of Homotopy Analysis Method: Change and Challenge
Predictor Homotopy Analysis Method
Spectral Homotopy Analysis Method
Stability of Auxiliary Linear Operator and Convergence - Control Parameter
On the Convergence of the Homotopy Analysis Method
Homotopy Analysis Method for Some Boundary Layer Flows of Nanofluids
Homotopy Analysis Method for Fractional Swift - Hohenberg Equation
Homotopy Analysis Method-based Package NOPH for Periodic Oscillations
Homotopy Analysis Method-based Package BVPh 2.0 for Nonlinear BVPs.

✦ Subjects

Homotopie

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