【摘要】InthispaperwestudyGalerkinapproximationstothesolutionofthenonlinearSobolevequationc(u)u_t=▽·{a(u)▽u_t+b(u)▽u}+f(u)intwospatialdimensionsandderiveoptimalL~2errorestimatesforthecontinuous-time,Crank-NicolsonandextrapolatedCrank-Nicolsondiscrete-timeapproximations.
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