Abstract: The neutron flux is obtained as the solution of a Boltzmann transport equation. In its various integro-differential forms, this equation can be used to solve problems from the following fields: nuclear physics, astrophysics, radiative transport and transport of particles in porous media. In the literature there are several approaches based on the numerical methods as: the least squares method , the finite element method, Monte Carlo method, Fourier transform, Laplace transform, spherical harmonics or PN method, Jacobi polynomials approximation, truncated series of Chebyshev polynomials. In this paper we replace our neutron transport problem with an equivalent problem of radiative transfer. The exact solutions for stationary and non-stationary neutron transport equations corresponding to various source functions are presented. Some adjustments were made to agree the neutron transport theory with astrophysical applications.

Brief Biography of the Speaker:
Olga Martin graduated the Faculty of Mathematics and Mechanics, University of Bucharest, Romania. She received his PhD in mathematics with the specialization in Dynamic Plasticity with paper work 'Applications of the Finite Element Method in Dynamic Plasticity'. During of twenty years, she had been senior researcher in Aircraft Institute, Strength Materials Department. Technical experience: structural strength computing reports using ANSYS program (wing-fuselage, fuselage frame, fin, elevator, rudder and aileron), dynamic and static test-programs for aircraft structures, fatigue test-programs for aircraft structures, iterative methods for the study of the reactions, which correspond to movable control surfaces, attached at n – points to an elastic structure and program of this, static and fatigue computation of the propeller (mono-bloc hub, blades and blades retention system).
Nowadays, she is Professor at Applied Sciences Faculty, University "Politehnica" of Bucharest. Fields of specialization: Mathematical Analysis, Mathematical Physics, Computational and Experimental Solid Mechanics, Numerical Analysis, Statistical Calculus. She has published over 90 research papers and 18 books.
Member of the editorial boards: Politehnica Sci. Bull. Series A, WSEAS Transactions on Applied and Theoretical Mechanics, WSEAS Transactions on Mathematics and she was involved in the program/organizing committees for many international conferences.
Membership of Professional Societies: Society of Computer Aided Engineering – Member National Union of Romanian Scientists (Founding member), Balkan Society of Geometers member, Romanian Society of Mathematicians.
Reviewer: WSEAS Press (books and journals), Scientific Bulletin, University "Politehnica" of Bucharest
Scientific Evaluation Societies: RELANSIN, University "Politehnica" of Bucharest, ARACIS, Bucharest, Bucharest, National Science Fund of Bulgaria.