Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation

Table 3

Absolute error of the diffusion problem with linear reaction term without and with passive/active Richardson extrapolation (with the estimated convergence order in parentheses).

Time step	Absolute error
	Euler		Passive Richardson		Active Richardson
		—		—		—
		(1.000)		(2.012)		(1.990)
		(1.000)		(2.016)		(1.986)
		(1.000)		(2.021)		(1.982)
		(1.000)		(2.027)		(1.976)
		(1.000)		(2.034)		(1.970)
		(1.000)		(2.083)		(1.926)
		(1.000)		(2.247)		(1.786)
		(1.000)		(2.402)		(1.561)
		(1.000)		(2.364)		(1.263)
		(1.000)		(0.751)		(0.668)
		(1.000)		(−0.179)		(0.040)
		(1.000)		(−0.015)		(0.001)
		(1.000)		(−0.002)		(0.000)
		(0.999)		(0.000)		(0.000)
		(0.997)		(0.000)		(0.000)
		(0.990)		(0.001)		(0.001)