A second order linear energy stable numerical method for the Cahn–Hilliard–Hele–Shaw system

2022 ◽  
Vol 403 ◽  
pp. 113788
Author(s):  
Danxia Wang ◽  
Xingxing Wang ◽  
Hongen Jia
Keyword(s):  
Numerical Method ◽  
Second Order ◽  
Order Linear ◽  
Energy Stable ◽  
Stable Numerical Method

Determination of rate constants of redox reactions of second order from current-less potential-time curves by a simplified graphical-numerical method

1983 ◽  
Vol 48 (5) ◽  
pp. 1358-1367 ◽  
Author(s):  
Antonín Tockstein ◽  
František Skopal
Keyword(s):  
Numerical Method ◽  
Explicit Form ◽  
Rate Constant ◽  
Optimization Algorithm ◽  
Rate Constants ◽  
Redox Reactions ◽  
Second Order ◽  
Wide Region ◽  
Recurrent Formula

A method for constructing curves is proposed that are linear in a wide region and from whose slopes it is possible to determine the rate constant, if a parameter, θ, is calculated numerically from a rapidly converging recurrent formula or from its explicit form. The values of rate constants and parameter θ thus simply found are compared with those found by an optimization algorithm on a computer; the deviations do not exceed ±10%.

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