A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems

被引：5
|
作者：
Asante-Asamani, E. O. [1 ]
Wade, Bruce A. [1 ]
机构：
[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA
来源：
COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2016年 / 19卷 / 05期
关键词：
Exponential time differencing; dimensional splitting; reaction diffusion equations; MODEL;
D O I：
10.4208/cicp.scpde14.25s
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Novel dimensional splitting techniques are developed for ETD Schemes which are second-order convergent and highly efficient. By using the ETD-Crank-Nicolson scheme we show that the proposed techniques can reduce the computational time for nonlinear reaction-diffusion systems by up to 70%. Numerical tests are performed to empirically validate the superior performance of the splitting methods.
引用
收藏
页码：1343 / 1356
页数：14
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