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

2020 ◽  
Vol 415 ◽  
pp. 109490 ◽  
Author(s):  
E.O. Asante-Asamani ◽  
A. Kleefeld ◽  
B.A. Wade
Keyword(s):  
Reaction Diffusion ◽  
Second Order ◽  
Exponential Time ◽  
Reaction Diffusion Systems ◽  
Exponential Time Differencing ◽  
Diffusion Systems ◽  
Dimensional Splitting ◽  
Linear Reaction ◽  
Non Linear

A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems

2016 ◽  
Vol 19 (5) ◽  
pp. 1343-1356 ◽  
Author(s):  
E. O. Asante-Asamani ◽  
Bruce A. Wade
Keyword(s):  
Reaction Diffusion ◽  
Splitting Methods ◽  
Superior Performance ◽  
Computational Time ◽  
Reaction Diffusion Systems ◽  
Numerical Tests ◽  
Nonlinear Reaction ◽  
Diffusion Systems ◽  
Dimensional Splitting ◽  
Nicolson Scheme

AbstractNovel 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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