9th WSEAS International Conference on Systems Theory and Scientific Computation, Moscow, Rusya, 20 - 22 Ağustos 2009, ss.157-158
In this paper a numerical method for solving a two-dimensional stationary transport equation is presented. Using the techniques of the variational calculus and method of the fictitious domain, we create an algorithm that leads to the solution of a boundary - value problem for the set D, which has an arbitrary shape. In this approach, the initial domain D (called physical domain) is immersed in a square domain D-2. The theoretical results are verified with the help of a numerical example.