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SMALL-STENCIL PAD SCHEMES TO SOLVE NONLINEAR EVOLUTION EQUATIONS
作者姓名:刘儒勋  吴玲玲
作者单位:Department of Mathematics,University of Science and Technology of China,Hefei 230026,P.R.China,Department of Mathematics,University of Science and Technology of China,Hefei 230026,P.R.China
基金项目:ProjectsupportedbytheNationalNaturalScienceFoundationofChina(Nos.10371118and90411009),theScienceFoundationofStateKeyLaboratoryofFireScience(SKLFS)andtheScienceFoundationofBeijingComputationalPhysicsLaboratory
摘    要:Introduction High ordernonlinearevolutionequationshaveanextensiveandprofoundbackgroundin bothphysicaltheoryandreality.Itisdifficulttoavailablydealwiththehigh orderderivative fornumericalsolutionofthenonlinearevolutionequations.Andpeopleareallinterestedin conservationphenomenainsimulationofsoliton.Therearemanyfamousmathematiciansto investigatehigh order,conservationandprofile preservingschemesforthenonlinearevolution equations.Althoughtherearealotofsuccessfulexamples[1,2],itisstillnotofsatisfa…

关 键 词:evolution equation  compact scheme  Padé scheme  node stencil  soliton
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