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

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Comparison between both numerical methods (SIR epidemic model)

Numerical methods	Step sizes (for exec. time)	Exec. time	Positivity	Convergence
Forward Euler	h = 0.1, τ = 0.067	1.9679 Seconds	Failure	Divergence
NSFD operator splitting	h = 0.1, τ = 0.067	0.7152 Seconds	Preserved	Convergence