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

被引：1
|
作者：
Ohm, Mi Ray [1 ]
Shin, Jun Yong [2 ]
机构：
[1] Dongseo Univ, Div Mechatron Engn, Busan 47011, South Korea
[2] Pukyong Natl Univ, Dept Appl Math, Coll Nat Sci, Busan 48513, South Korea
来源：
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2018年 / 36卷 / 3-4期
关键词：
nonlinear Sobolev equation; an extrapolated Crank-Nicolson characteristic finite element method; higher order of convergence;
D O I：
10.14317/jami.2018.257
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An extrapolated Crank-Nicolson characteristic finite element method is introduced for approximate solutions of nonlinear Sobolev equations with a convection term. And we obtain the higher order of convergence for approximate solutions in the temporal and the spatial directions with respect to L-2 norm.
引用
收藏
页码：257 / 270
页数：14
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