Continuous symmetries of the discrete nonlinear telegraph equation

被引：9
|
作者：
Ody, MS [1 ]
Common, AK
Sobhy, MI
机构：
[1] Univ Kent, Inst Math & Stat, Canterbury CT2 7NF, Kent, England
[2] Univ Kent, Elect Engn Labs, Canterbury CT2 7NT, Kent, England
来源：
EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 1999年 / 10卷
关键词：
D O I：
10.1017/S0956792599003708
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The method of classical Lie symmetries, generalised to differential-difference equations by Quispel, Capel and Sahadevan, is applied to the discrete nonlinear telegraph equation. The symmetry reductions thus obtained are compared with analogous results for the continuous telegraph equation. Some of these 'continuous' reductions are used to provide initial data for a numerical scheme which attempts to solve the corresponding discrete equation.
引用
收藏
页码：265 / 284
页数：20
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