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http://dx.doi.org/10.4134/BKMS.b160605

AN EXTRAPOLATED CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS  

Ohm, Mi Ray (Division of Mechatronics Engineering Dongseo University)
Shin, Jun Yong (Department of Applied Mathematics Pukyong National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.4, 2017 , pp. 1409-1419 More about this Journal
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;
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Times Cited By KSCI : 2  (Citation Analysis)
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