Journal of Chemistry / 2015 / Article / Tab 1

Research Article

Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation

Table 1

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

Time stepAbsolute error
EulerPassive RichardsonActive Richardson

(1.000)(2.019)(1.991)
(1.000)(2.027)(1.987)
(1.000)(2.035)(1.978)
(1.000)(2.043)(1.971)
(1.000)(2.054)(1.961)
(1.000)(2.117)(1.852)
(1.000)(2.109)(1.413)
(1.000)(1.183)(0.934)
(1.000)(0.520)(0.650)
(1.000)(0.252)(0.308)
(1.000)(0.016)(0.024)
(1.000)(−0.004)(−0.001)
(0.999)(0.000)(0.000)
(0.997)(−0.001)(0.001)
(0.991)(0.000)(0.000)
(0.975)(0.002)(0.000)

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