Fully discrete approximation of general nonlinear Sobolev equations

被引：0
|
作者：
F. Bekkouche
W. Chikouche
S. Nicaise
机构：
[1] Univ. Valenciennes,Université de Jijel
[2] EA 4015 - LAMAV - FR CNRS 2956,undefined
[3] Laboratoire LMPA,undefined
来源：
Afrika Matematika | 2019年 / 30卷
关键词：
Fully discrete scheme; Sobolev equations; Error estimates; 65N30; 65M12; 65M15; 35G30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider abstract quasilinear evolution equations of Sobolev type in a Hilbert setting. We propose two fully discrete schemes and prove some error estimates under minimal assumptions. Various examples that enter into our abstract framework are considered, for each of them our theoretical results are confirmed by several numerical experiments.
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页码：53 / 90
页数：37
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