A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting

被引：17

作者：

Asante-Asamani, E. O. ^{[1
]}

Kleefeld, A. ^{[2
]}

Wade, B. A. ^{[3
]}

机构：

[1] Clarkson Univ, Dept Math, Potsdam, NY 13699 USA

[2] Forschungszentrum Julich, Julich Supercomp Ctr, D-52425 Julich, Germany

[3] Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2020年 / 415卷

关键词：

Exponential time differencing; Real distinct pole; Dimensional splitting; Reaction-diffusion systems; Matrix exponential; RUNGE-KUTTA METHODS; INTEGRATION FACTOR METHOD; SMOOTHING SCHEMES; CHEBYSHEV METHODS; EXPLICIT METHODS; STABILITY; COMPUTE; SOLVER; MODEL;

D O I：

10.1016/j.jcp.2020.109490

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A second-order L-stable exponential time-differencing (ETD) method is developed by combining an ETD scheme with approximating the matrix exponentials by rational functions having real distinct poles (RDP), together with a dimensional splitting integrating factor technique. A variety of non-linear reaction-diffusion equations in two and three dimensions with either Dirichlet, Neumann, or periodic boundary conditions are solved with this scheme and shown to outperform a variety of other second-order implicit-explicit schemes. An additional performance boost is gained through further use of basic parallelization techniques. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：18

共 70 条

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