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Bull. Korean Math. Soc. 2017; 54(4): 1409-1419

Online first article July 6, 2017      Printed July 31, 2017

https://doi.org/10.4134/BKMS.b160605

Copyright © The Korean Mathematical Society.

An extrapolated Crank-Nicolson characteristic finite element method for Sobolev equations

Mi Ray Ohm and Jun Yong Shin

Dongseo University, Pukyong National University

Abstract

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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

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