The main aim of this paper is to analyze the numerical method based upon the spectral element technique for the numerical solution of the fractional advection-diffusion equa-tion.The time variable has been discretized by a second-order finite difference procedure.The stability and the convergence of the semi-discrete formula have been proven.Then,the spatial variable of the main PDEs is approximated by the spectral element method.The convergence order of the fully discrete scheme is studied.The basis functions of the spectral element method are based upon a class of Legendre polynomials.The numerical experiments confirm the theoretical results.
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机译:Impactênciadadexmedetomidinanesocraçãorexiradado sevoflurano:avaliaçãoluleíndicesenspectral,taxadesupressãoeanáliseespectraldapotênciadoeletroencefalograma Influencia de la dexmedetomidina enlaprecentraciónexpiradadel sevoflurano:evaluationaciónporelíndicesenspectral,tasadesupresiónyanílisisespectralde la potencia del eletroencefalograma右美托咪定对七氟醚呼气末浓度的影响:双频指数评估,抑制率和脑电功率谱分析