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Advances in the Homotopy Analysis Method

by Liao Shijun

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An applied mathematics volume on the Homotopy Analysis Method

$165.54 USD
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AlbakiReads Editorial

An applied mathematics volume on the Homotopy Analysis Method

This 417-page collection surveys developments in the Homotopy Analysis Method (HAM), an analytic approximation approach presented here for highly nonlinear problems. Its chapters bring together work from researchers in different countries and fields, addressing the method and its applications. The description highlights HAM’s independence from small or large physical parameters, its flexibility in setting up approximation equations, and its approach to convergence in solution series. The volume is therefore centered on both the method’s mathematical framework and its use across research applications, making it a reference-oriented treatment of a specialized area of applied mathematics.

Good fit for readers who enjoy

  • Researchers working on nonlinear problems and analytic approximation methods.
  • Graduate-level readers seeking a survey of HAM and its applications.
  • Applied mathematicians interested in solution-series methods.

Themes

Homotopy Analysis MethodNonlinear problemsAnalytic approximationConvergence of solution seriesApplied mathematics

Based on publisher information and book metadata.

Book overview

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.
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