简介：Thispaperinvestigatesthestabilityandconvergenceofsomeknowndifferenceschemesforthenumericalsolutiontoheatconductionequationwithderivativeboundaryconditionsbythefictitiousdomainmethod.Thediscretevari-ablesatthefalsemeshpointsarefirstlyeliminatedfromthedifferenceschemesandthelocaltruncationerrorsarethenanalyzedindetail.Thestabilityandconvergenceoftheschemesareprovedbyenergymethod.Animprovementisproposedtoobtainbetterschemesovertheoriginalones.Severalnumericalexamplesandcomparisonswithotherschemesarepresented.
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