We deal with the triangular mesh-discontinuous finite element method for solving the time-dependent anisotropic neutron transport problem in two-dimensional cylindrical geometry. A priori estimate of the numerical solution is given. Stability is proved. We have computed a two dimensional anisotropic neutron transport problem and a Tungsten-Carbide critical assembly problem by using the numerical method. In comparision with DSN method and the experiments the method is satisfactory.

Discrete-Collocation method is considered for Solving the neutron transport equation in two-dimensional cylindrical geometry. Conservation and equivalence of the collocation method to the DSN method are derived. Finally, Some numerical results are presented.

A discontinuous finite element numerical method for treating transient or steady neutron ransport problem with 2-D Cylindrical symmetry is presented.We use central difference of Crank-Nicholson type for time variable, while the discritization in phase space is shown in fig.1 for a special case.In geometrical space triangular mesh is used, which can be generated automatically in our program.Numerical analysis starts from an aprioestimate of a normal.From which uniqueness and stability follow.Satisfactory numerical tests are shown including comparison with an exact solution as well as with results obtained using DSN method.