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 An extrapolated Crank-Nicolson characteristic finite element method for Sobolev equations Bull. Korean Math. Soc. 2017 Vol. 54, No. 4, 1409-1419 https://doi.org/10.4134/BKMS.b160605Published online July 31, 2017 Mi Ray Ohm and Jun Yong Shin Dongseo University, Pukyong National University Abstract : We introduce an extrapolated Crank-Nicolson characteristic finite element method to approximate solutions of a convection dominated Sobolev equation. We obtain the higher order of convergence in both the spatial direction and the temporal direction in $L^{2}$ normed space for the extrapolated Crank-Nicolson characteristic finite element method. Keywords : Sobolev equation, extrapolated Crank-Nicolson characteristic finite element method, higher order of convergence MSC numbers : Primary65M15, 65N30 Downloads: Full-text PDF