A SOLUTION OF THE LINEAR TRANSPORT-EQUATION USING CHEBYSHEV POLYNOMIALS AND LAPLACE TRANSFORM
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作者:
CARDONA, AV
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PONTIFICIA UNIV CATOLICA RIO GRANDE DO SUL,DEPT NUCL ENGN,BR-90000 PORTO ALEGRE,BRAZILPONTIFICIA UNIV CATOLICA RIO GRANDE DO SUL,DEPT NUCL ENGN,BR-90000 PORTO ALEGRE,BRAZIL
CARDONA, AV
[1
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VILHENA, MT
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PONTIFICIA UNIV CATOLICA RIO GRANDE DO SUL,DEPT NUCL ENGN,BR-90000 PORTO ALEGRE,BRAZILPONTIFICIA UNIV CATOLICA RIO GRANDE DO SUL,DEPT NUCL ENGN,BR-90000 PORTO ALEGRE,BRAZIL
VILHENA, MT
[1
]
机构:
[1] PONTIFICIA UNIV CATOLICA RIO GRANDE DO SUL,DEPT NUCL ENGN,BR-90000 PORTO ALEGRE,BRAZIL
A new approximate solution of the one-group linear transport equation with anisotropic scattering is established utilizing the Chebyshev polynomials. The resulting system of linear differential equations is solved analytically using the Laplace transform technique. Numerical results are presented.