期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2006
卷号：2006
DOI：10.1155/IJMMS/2006/16214
出版社：Hindawi Publishing Corporation
摘要：We present a method for solving the two-dimensional equation of
transfer. The method can be extended easily to the general linear
transport problem. The used technique allows us to reduce the
two-dimensional equation to a system of one-dimensional equations.
The idea of using the spectral method for searching for solutions
to the multidimensional transport problems leads us to a solution
for all values of the independant variables, the proposed method
reduces the solution of the multidimensional problems into a set
of one-dimensional ones that have well-established deterministic
solutions. The procedure is based on the development of the
angular flux in truncated series of Chebyshev polynomials which
will permit us to transform the two-dimensional problem into a set
of one-dimensional problems.
