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http://dx.doi.org/10.7858/eamj.2017.022

A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR 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.33, no.3, 2017 , pp. 295-308 More about this Journal
Abstract
We introduce a Crank-Nicolson characteristic finite element method to construct approximate solutions of a nonlinear Sobolev equation with a convection term. And for the Crank-Nicolson characteristic finite element method, we obtain the higher order of convergence in the temporal direction and in the spatial direction in $L^2$ normed space.
Keywords
a nonlinear Sobolev equation; a 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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