Analytical solutions for the neutron transport using the spectral methods
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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/16214 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |