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Journal of Chemistry
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2015
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Article
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Tab 1
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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 step
Absolute error
Euler
Passive Richardson
Active 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)