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- Homotopy_analysis_method abstract "The homotopy analysis method (HAM) is a semi-analytical technique to solve nonlinear ordinary/partial differential equations. The homotopy analysis method employs the concept of the homotopy from topology to generate a convergent series solution for nonlinear systems. This is enabled by utilizing a homotopy-Mclaurin series to deal with the nonlinearities in the system.The HAM was first devised in 1992 by Liao Shijun of Shanghai Jiaotong University in his PhD dissertation and further modified in 1997 to introduced a non-zero auxiliary parameter, referred to as the convergence-control parameter, c0, to construct a homotopy on a differential system in general form. The convergence-control parameter is a non-physical variable that provides a simple way to verify and enforce convergence of a solution series. The capability of the HAM to naturally show convergence of the series solution is unusual in analytical and semi-analytic approaches to nonlinear partial differential equations.".
- Homotopy_analysis_method thumbnail HomotopySmall.gif?width=300.
- Homotopy_analysis_method wikiPageExternalLink APO.htm.
- Homotopy_analysis_method wikiPageExternalLink BVPh.htm.
- Homotopy_analysis_method wikiPageID "22844401".
- Homotopy_analysis_method wikiPageRevisionID "589141346".
- Homotopy_analysis_method hasPhotoCollection Homotopy_analysis_method.
- Homotopy_analysis_method subject Category:Asymptotic_analysis.
- Homotopy_analysis_method subject Category:Homotopy_theory.
- Homotopy_analysis_method subject Category:Partial_differential_equations.
- Homotopy_analysis_method comment "The homotopy analysis method (HAM) is a semi-analytical technique to solve nonlinear ordinary/partial differential equations. The homotopy analysis method employs the concept of the homotopy from topology to generate a convergent series solution for nonlinear systems.".
- Homotopy_analysis_method label "Homotopy analysis method".
- Homotopy_analysis_method sameAs m.06425g1.
- Homotopy_analysis_method sameAs Q17030668.
- Homotopy_analysis_method sameAs Q17030668.
- Homotopy_analysis_method wasDerivedFrom Homotopy_analysis_method?oldid=589141346.
- Homotopy_analysis_method depiction HomotopySmall.gif.
- Homotopy_analysis_method isPrimaryTopicOf Homotopy_analysis_method.