A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems. (17th May 2016)

• Record Type: Journal Article
• Authors: Asante-Asamani, E. O.; Wade, Bruce A.
• Is Part Of: Communications in computational physics. Volume 19:Number 5(2016:May)
• Page Start: 1343
• Page End: 1356
• Publication Date: 2016-05-17
• Subjects: 65M12, -- 65M15, -- 65M20; Exponential time differencing, -- dimensional splitting, -- reaction diffusion equations; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.scpde14.25s
• Languages: English
• ISSNs: 1815-2406

Abstract

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.