Differential equation background information

In the following sections some background information on stiff ordinary differential equations will be given and the general finite difference approximations for particle temperatures will be derived. Later, the technique will be applied to coal pyrolysis in a transport reactor where the difference equations for reaction kinetics will be discussed and the calculation results will be compared with those obtained by the previously established techniques. 

Solutions of the differential equation systems including initial and boundary conditions as discussed in the previous sections are generally provided by simulation. Mathematical models describing the basic physico-chemical processes are numerically resolved [25]. LSV and CV are among the main methods treated in electrochemical simulations. Further information on this subject can be found in Chapter 1.3 of this Volume and (with mechanistic background) in Chapter 1 of Volume 8. 

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