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Theory and Modern Applications

Table 1 Comparison between both numerical methods (Brusselator model)

From: A novel time efficient structure-preserving splitting method for the solution of two-dimensional reaction-diffusion systems

Numerical methods

Step sizes (for exec. time)

Exec. time

Positivity

Convergence

Forward Euler

h = 0.1, τ = 0.1

0.4214 Seconds

Failure

Divergence

NSFD operator splitting

h = 0.1, τ = 0.1

0.0625 Seconds

Preserved

Convergence