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

页码：1343 / 1356

页数：14

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