Volume 19, Issue 5
A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems

E. O. Asante-Asamani & Bruce A. Wade

Commun. Comput. Phys., 19 (2016), pp. 1343-1356.

Published online: 2018-04

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  • Abstract

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.

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@Article{CiCP-19-1343, author = {}, title = {A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems}, journal = {Communications in Computational Physics}, year = {2018}, volume = {19}, number = {5}, pages = {1343--1356}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.scpde14.25s}, url = {http://global-sci.org/intro/article_detail/cicp/11132.html} }
TY - JOUR T1 - A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems JO - Communications in Computational Physics VL - 5 SP - 1343 EP - 1356 PY - 2018 DA - 2018/04 SN - 19 DO - http://doi.org/10.4208/cicp.scpde14.25s UR - https://global-sci.org/intro/article_detail/cicp/11132.html KW - AB -

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.

E. O. Asante-Asamani & Bruce A. Wade. (2020). A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems. Communications in Computational Physics. 19 (5). 1343-1356. doi:10.4208/cicp.scpde14.25s
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