Journal of Chemistry / 2015 / Article / Tab 3

Research Article

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 stepAbsolute error
EulerPassive RichardsonActive 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)

Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.