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

页码：257 / 270

页数：14

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