摘要
Ahigh-orderfinitedifferencePadéschemealsocalledcompactschemeforsolvingKorteweg-deVries(KdV)equations,whichpreserveenergyandmassconservations,wasdevelopedinthispaper.Thisstructure-preservingalgorithmhasbeenwidelyappliedintheseyearsforitsadvantageofmaintainingtheinheritedproperties.Forspatialdiscretization,theauthorsobtainedanimplicitcompactschemebywhichspatialderivativetermsmaybeapproximatedthroughcombiningafewknots.Bysomenumericalexamplesincludingpropagationofsinglesolitonandinteractionoftwosolitons,theschemeisprovedtobeeffective.
出版日期
2005年06月16日(中国期刊网平台首次上网日期,不代表论文的发表时间)