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1. Neutron equations
Depending on the time scales considered when describing the neutronic behavior of a reactor, a distinction is usually made between :
time-independent "static" behavior (steady-state Boltzmann equation);
slow" temporal evolution dealing with changes in nuclear fuel composition (Bateman equations);
fast" transient phases, during which delayed neutrons play a more or less important role, depending on the kinetics of the transient (kinetic equations). The kinetic equations are derived from the time-dependent Boltzmann equation.
It's the large "size" of the Boltzmann equation that makes it so difficult to solve. In the general case, the problem has to be solved in 7 dimensions (three in space, two for the direction of propagation, one for the...
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Neutron equations
Bibliography
Software tools
Code DRAGON http://www.polymtl.ca/nucleaire/DRAGON/
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The Ultimate Scientific and Technical Reference