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A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems

Part of: Partial differential equations, initial value and time-dependent initial-boundary value problems

Published online by Cambridge University Press:  17 May 2016

E. O. Asante-Asamani  and
Bruce A. Wade
E. O. Asante-Asamani*
Affiliation:
Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI, 53201-0413, USA
Bruce A. Wade*
Affiliation:
Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI, 53201-0413, USA
*
*Corresponding author. Email addresses:eoa@uwm.edu (E. O. Asante-Asamani), wade@uwm.edu (B. A. Wade)
*Corresponding author. Email addresses:eoa@uwm.edu (E. O. Asante-Asamani), wade@uwm.edu (B. A. Wade)
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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.

Keywords

Exponential time differencingdimensional splittingreaction diffusion equations

MSC classification

Secondary: 65M12: Stability and convergence of numerical methods 65M15: Error bounds 65M20: Method of lines
Type
Research Article
Information
Communications in Computational Physics , Volume 19 , Issue 5 , May 2016 , pp. 1343 - 1356
Copyright
Copyright © Global-Science Press 2016 

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