A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems

A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems

Year:    2016

Communications in Computational Physics, Vol. 19 (2016), Iss. 5 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.scpde14.25s

Communications in Computational Physics, Vol. 19 (2016), Iss. 5 : pp. 1343–1356

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords: