简介:Asetofsmall-stencilnewPadeschemeswiththesamedenominatorarepresentedtosolvehigh-ordernonlinearevolutionequations.Usingthisscheme,thefourth-orderprecisioncannotonlybekept,butalsothefinalthree-diagonaldiscretesystemsaresolvedbysimpleDoolittlemethods,orODEsystemsbyRunge-Kuttatechnique.Numericalsamplesshowthattheschemesareverysatisfactory.Andtheadvantageoftheschemesisveryclearcomparedtootherfinitedifferenceschemes.