»ã±¨±êÌâ (Title)£ºA parareal finite volume method for variable-order time-fractional diffusion equations (±ä½×¹¦·ò·ÖÊý½×À©É¢·½³ÌµÄpararealÓÐÏÞÌå»ý²½Öè)

»ã±¨ÈË (Speaker)£ºÁõ»¶£¨ÉϺ£²Æ¾­´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê10ÔÂ21ÈÕ(ÖÜÁù) 13:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿A203

Ô¼ÇëÈË(Inviter)£ºÅËÏþÃô

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»ã±¨ÌáÒª£ºIn this talk, we will first introduce the wellposedness and regularity of a variable-order time-fractional diffusion equation, which is often used to model the solute transport in complex porous media where the fractal dimension of the porous media changes over time. Then, we also present a finite volume approximation and provide its stability and convergence analysis in a weighted discrete norm. Furthermore, we develop an efficient parallel-in-time procedure to improve the computational efficiency of the variable-order time-fractional diffusion equations.