By Shijun Liao
In contrast to different analytic suggestions, the Homotopy research procedure (HAM) is self sustaining of small/large actual parameters. along with, it offers nice freedom to decide on equation variety and resolution expression of comparable linear high-order approximation equations. The HAM offers an easy solution to warrantly the convergence of resolution sequence. Such distinctiveness differentiates the HAM from all different analytic approximation equipment. additionally, the HAM will be utilized to resolve a few tough issues of excessive nonlinearity.
This ebook, edited by means of the pioneer and founding father of the HAM, describes the present advances of this strong analytic approximation process for hugely nonlinear difficulties. Coming from assorted international locations and fields of study, the authors of every bankruptcy are most sensible specialists within the HAM and its purposes.
Readership: Graduate scholars and researchers in utilized arithmetic, physics, nonlinear mechanics, engineering and finance.
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Additional resources for Advances in the Homotopy Analysis Method
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22] V. Marinca and N. Heri¸sanu: Application of optimal homotopy asymptotic method for solving nonlinear equations arising in heat transfer, Int. Commun. Heat Mass. 35: 710–715 (2008). A. Van Gorder: Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function H(x) in the homotopy analysis method, Commun. Nonlinear Sci. Numer. Simulat. 17: 1233–1240 (2012).  K. A. Van Gorder, Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer. Springer, Heidelberg, 2012.