【摘要】Thebackwardheatequationisatypicalill-posedproblem.Inthispaper,weshallapplyadualleastsquaresmethodconnectingShannonwavelettothefollowingequationut(x,y,t)=uxx(x,y,t)+uyy(x,y,t),x∈R,y∈R,0≤t<1,u(x,y,1)=(x,y),x∈R,y∈R.MotivatedbyRegińska'swork,weshallgivetwononlinearapproximatemethodstoregularizeth
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