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- Adomian_decomposition_method abstract "The Adomian decomposition method (ADM) is a semi-analytical method for solving ordinary and partial nonlinear differential equations. The method was developed from the 1970s to the 1990s by George Adomian, chair of the Center for Applied Mathematics at the University of Georgia. It is further extensible to stochastic systems by using the Ito integral. The aim of this method is towards a unified theory for the solution of partial differential equations (PDE); an aim which has been superseded by the more general theory of the homotopy analysis method.The crucial aspect of the method is employment of the "Adomian polynomials" which allow for solution convergence of the nonlinear portion of the equation, without simply linearizing the system. These polynomials mathematically generalize to a Maclaurin series about an arbitrary external parameter; which gives the solution method more flexibility than direct Taylor series expansion.".
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- Adomian_decomposition_method wikiPageLength "22327".
- Adomian_decomposition_method wikiPageOutDegree "31".
- Adomian_decomposition_method wikiPageRevisionID "626870198".
- Adomian_decomposition_method wikiPageWikiLink Blasius_boundary_layer.
- Adomian_decomposition_method wikiPageWikiLink Boundary_layer.
- Adomian_decomposition_method wikiPageWikiLink Category:Differential_equations.
- Adomian_decomposition_method wikiPageWikiLink Cauchy_problem.
- Adomian_decomposition_method wikiPageWikiLink Differential_equation.
- Adomian_decomposition_method wikiPageWikiLink Elliptic_partial_differential_equation.
- Adomian_decomposition_method wikiPageWikiLink Engineering.
- Adomian_decomposition_method wikiPageWikiLink George_Adomian.
- Adomian_decomposition_method wikiPageWikiLink Hilbert_space.
- Adomian_decomposition_method wikiPageWikiLink Homotopy_analysis_method.
- Adomian_decomposition_method wikiPageWikiLink Incompressible_flow.
- Adomian_decomposition_method wikiPageWikiLink Incompressible_fluid.
- Adomian_decomposition_method wikiPageWikiLink Initial_value_problem.
- Adomian_decomposition_method wikiPageWikiLink Ito_integral.
- Adomian_decomposition_method wikiPageWikiLink Itô_calculus.
- Adomian_decomposition_method wikiPageWikiLink Maclaurin_series.
- Adomian_decomposition_method wikiPageWikiLink Maple.
- Adomian_decomposition_method wikiPageWikiLink Mathematica.
- Adomian_decomposition_method wikiPageWikiLink Navier–Stokes_equations.
- Adomian_decomposition_method wikiPageWikiLink Nonlinear.
- Adomian_decomposition_method wikiPageWikiLink Nonlinear_system.
- Adomian_decomposition_method wikiPageWikiLink Ordinary_differential_equation.
- Adomian_decomposition_method wikiPageWikiLink Ordinary_differential_equations.
- Adomian_decomposition_method wikiPageWikiLink Partial_differential_equation.
- Adomian_decomposition_method wikiPageWikiLink Partial_differential_equations.
- Adomian_decomposition_method wikiPageWikiLink Poisson_equation.
- Adomian_decomposition_method wikiPageWikiLink Poissons_equation.
- Adomian_decomposition_method wikiPageWikiLink Polynomial.
- Adomian_decomposition_method wikiPageWikiLink Science.
- Adomian_decomposition_method wikiPageWikiLink Stochastic_process.
- Adomian_decomposition_method wikiPageWikiLink Stochastic_system.
- Adomian_decomposition_method wikiPageWikiLink Taylor_series.
- Adomian_decomposition_method wikiPageWikiLink University_of_Georgia.
- Adomian_decomposition_method wikiPageWikiLink Weak_convergence_(Hilbert_space).
- Adomian_decomposition_method wikiPageWikiLink File:Burgers_Fisher_equation_tanh_Adomian_plot.gif.
- Adomian_decomposition_method wikiPageWikiLink File:Dym_equation_Adomian_cos_plot.gif.
- Adomian_decomposition_method wikiPageWikiLink File:Kuramoto-Sivashinsky_equation_Adomian_solution_sin_plot.gif.
- Adomian_decomposition_method wikiPageWikiLinkText "Adomian decomposition method".
- Adomian_decomposition_method wikiPageWikiLinkText "adomian decomposition method".
- Adomian_decomposition_method hasPhotoCollection Adomian_decomposition_method.
- Adomian_decomposition_method subject Category:Differential_equations.
- Adomian_decomposition_method hypernym Method.
- Adomian_decomposition_method type Software.
- Adomian_decomposition_method comment "The Adomian decomposition method (ADM) is a semi-analytical method for solving ordinary and partial nonlinear differential equations. The method was developed from the 1970s to the 1990s by George Adomian, chair of the Center for Applied Mathematics at the University of Georgia. It is further extensible to stochastic systems by using the Ito integral.".
- Adomian_decomposition_method label "Adomian decomposition method".
- Adomian_decomposition_method sameAs Dxc3xa9composition_dAdomian.
- Adomian_decomposition_method sameAs m.06qx6x.
- Adomian_decomposition_method sameAs Adomian_bozunma_metodu.
- Adomian_decomposition_method sameAs Q3042796.
- Adomian_decomposition_method sameAs Q3042796.
- Adomian_decomposition_method sameAs 阿多米安分解法.
- Adomian_decomposition_method wasDerivedFrom Adomian_decomposition_method?oldid=626870198.
- Adomian_decomposition_method isPrimaryTopicOf Adomian_decomposition_method.