ABSTRACT
This chapter deals with the solution of the multigroup neutron diffusion equation under an uncertain environment. Here, the multigroup neutron diffusion equation for the steady-state case is considered, and a two-group neutron diffusion equation for an example problem is investigated by using the fuzzy finite element method. An example benchmark problem is demonstrated with uncertain parameters. Various parameters such as thermal conductivity, diffusion, group fission and neutron interaction constants are taken as fuzzy, and uncertain solutions, viz. thermal- and fast-group fluxes, are discussed.
