»ã±¨±êÌâ (Title)£ºRadial basis function methods for PDEs with integral fractional Laplacian(´øÓзÖÊý½×À­ÆÕÀ­Ë¹µÄƫ΢·Ö·½³ÌµÄ¾¶Ïò»ùº¯Êý·¨)

»ã±¨ÈË (Speaker)£º ÕÅÖÐÇ¿ ¸±½ÌÊÚ£¨ÃÀ¹úÎé˹ÌØÀí¹¤Ñ§Ôº£©

»ã±¨¹¦·ò (Time)£º2022Äê11ÔÂ4ÈÕ(ÖÜÎå) 10£º00-11£º30

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒé 426-278-452

Ô¼ÇëÈË(Inviter)£ºÀƷ¡¢²ÌÃô

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»ã±¨ÌáÒª£ºWe consider radial basis function methods for fractional PDEs on general bounded domains. Efficient computation of such problems with high accuracy on bounded domains is challenging, due to the intrinsic singularity and nonlocal nature of the fractional Laplacian. We develop a numerical method that can accurately compute the fractional Laplacian of any radial basis function. We also present a flexible formulation for collocation. We present several examples to compare our method with some existing methods and illustrate the efficiency in two dimensions.