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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-Maclaurin 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.".
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- Homotopy_analysis_method wikiPageWikiLink Adomian_decomposition_method.
- Homotopy_analysis_method wikiPageWikiLink Aleksandr_Lyapunov.
- Homotopy_analysis_method wikiPageWikiLink Basis_function.
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- Homotopy_analysis_method wikiPageWikiLink Category:Asymptotic_analysis.
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- Homotopy_analysis_method wikiPageWikiLink Electrohydrodynamic.
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- Homotopy_analysis_method wikiPageWikiLink Heat_transfer.
- Homotopy_analysis_method wikiPageWikiLink Homotopy.
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- Homotopy_analysis_method wikiPageWikiLink Liao_Shijun.
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- Homotopy_analysis_method wikiPageWikiLink Navier-Stokes_equation.
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- Homotopy_analysis_method wikiPageWikiLink Nonlinear.
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- Homotopy_analysis_method wikiPageWikiLink Numerical_continuation.
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- Homotopy_analysis_method wikiPageWikiLink Partial_differential_equation.
- Homotopy_analysis_method wikiPageWikiLink Partial_differential_equations.
- Homotopy_analysis_method wikiPageWikiLink Perturbation_theory.
- Homotopy_analysis_method wikiPageWikiLink Poisson–Boltzmann_equation.
- Homotopy_analysis_method wikiPageWikiLink Put_option.
- Homotopy_analysis_method wikiPageWikiLink Resonance.
- Homotopy_analysis_method wikiPageWikiLink Series_(mathematics).
- Homotopy_analysis_method wikiPageWikiLink Shanghai_Jiao_Tong_University.
- Homotopy_analysis_method wikiPageWikiLink Shanghai_Jiaotong_University.
- Homotopy_analysis_method wikiPageWikiLink Spectral_method.
- Homotopy_analysis_method wikiPageWikiLink Spectral_methods.
- Homotopy_analysis_method wikiPageWikiLink Stochastic_volatility.
- Homotopy_analysis_method wikiPageWikiLink Taylor_series.
- Homotopy_analysis_method wikiPageWikiLink Topology.
- Homotopy_analysis_method wikiPageWikiLink Wave_resonance.
- Homotopy_analysis_method wikiPageWikiLink File:HomotopySmall.gif.
- Homotopy_analysis_method wikiPageWikiLinkText "Homotopy analysis method".
- Homotopy_analysis_method wikiPageWikiLinkText "homotopy analysis method".
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- 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 hypernym Technique.
- Homotopy_analysis_method type Article.
- Homotopy_analysis_method type Software.
- Homotopy_analysis_method type Article.
- Homotopy_analysis_method type Mapping.
- 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".
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