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http://dx.doi.org/10.7858/eamj.2016.051

A 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
East Asian mathematical journal / v.32, no.5, 2016 , pp. 729-744 More about this Journal
Abstract
A Crank-Nicolson characteristic finite element method is introduced to construct approximate solutions of a Sobolev equation with a convection term. The higher order of convergences in the temporal direction and in the spatial direction in $L^2$ normed space are verified for the Crank-Nicolson characteristic finite element method.
Keywords
Sobolev equation; an extrapolated Crank-Nicolson characteristic finite element method; Higher order of convergence;
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