SMALL-STENCIL PAD SCHEMES TO SOLVE NONLINEAR EVOLUTION EQUATIONS |
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作者姓名: | 刘儒勋 吴玲玲 |
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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 |
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基金项目: | ProjectsupportedbytheNationalNaturalScienceFoundationofChina(Nos.10371118and90411009),theScienceFoundationofStateKeyLaboratoryofFireScience(SKLFS)andtheScienceFoundationofBeijingComputationalPhysicsLaboratory |
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摘 要: | Introduction High ordernonlinearevolutionequationshaveanextensiveandprofoundbackgroundin bothphysicaltheoryandreality.Itisdifficulttoavailablydealwiththehigh orderderivative fornumericalsolutionofthenonlinearevolutionequations.Andpeopleareallinterestedin conservationphenomenainsimulationofsoliton.Therearemanyfamousmathematiciansto investigatehigh order,conservationandprofile preservingschemesforthenonlinearevolution equations.Althoughtherearealotofsuccessfulexamples[1,2],itisstillnotofsatisfa…
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关 键 词: | evolution equation compact scheme Padé scheme node stencil soliton |
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