EXPLICITLY SOLVABLE CHARACTERISTIC METHOD FOR CONVECTION DIFFUSION PROBLEMS

(整期优先)网络出版时间:1998-01-11
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Inthispaper,anewmethodfornumericallysolvingnonlinearconvection-dominateddiffusionproblemsisdevisedandanalysed.Thediscretetimeapproximationswithtimesteppingalongcharactcristicsarecstablishedandsolvedinspacesposscssingreproducingkernelfunctions.Ateachtimestep,theexactsolutionoftheapproximateproblemisgivenbyexplicitexpression.Thecomputationaladvantageofthismethodisthattheschemesareabsolutelystable,andareexplicitlysolvableaswell.Thestabilityanderrorestimatesarederived.Somenumericalresultsaregiven.