Journal of Chemistry / 2015 / Article / Tab 4

Research Article

Solving Reaction-Diffusion and Advection Problems with Richardson Extrapolation

Table 4

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

Time stepAbsolute error
EulerPassive RichardsonActive Richardson

(1.027)(2.134)(2.596)
(1.019)(2.138)(2.469)
(1.015)(2.135)(2.388)
(1.012)(2.128)(2.330)
(1.011)(2.121)(2.288)
(1.007)(2.091)(2.185)
(1.003)(2.056)(2.098)
(1.002)(2.040)(2.065)
(1.002)(2.030)(2.047)
(1.001)(2.014)(2.019)
(1.000)(1.873)(1.719)
(1.000)(1.035)(0.618)
(1.000)(0.171)(0.086)
(1.001)(0.011)(0.006)
(1.002)(0.002)(0.000)
(1.007)(−0.007)(−0.005)

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