| NEUMANN SERIES SOLUTION TO A NEUTRON TRANSPORT EQUATION OF SLAB GEOMETRY |
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| 作者姓名： | WANG Zaihua YANG Mingzhu QIN Guoqiang Institute of Atomic Energy Beijing China College of Engineer Corps Nanjing China |
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| 作者单位： | WANG Zaihua;YANG Mingzhu;QIN Guoqiang Institute of Atomic Energy，Beijing 102413，China College of Engineer Corps，Nanjing 210007，China |
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| 摘 要： | This paper deals with the solution to an energy, dependent stationary neutrontransport equation of slab geometry. In L~p space, the equation is converted into an equiva-lent integral equation. By the study of the corresponding integral operator and its spectralradius, results of Neumann series solution are obtained, and an easy-verified condition thatthe transport equation has a nonnegative solution is given.
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NEUMANN SERIES SOLUTION TO A NEUTRON TRANSPORT EQUATION OF SLAB GEOMETRY |
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| WANG Zaihua,YANG Mingzhu,QIN Guoqiang Institute of Atomic Energy,Beijing ,China College of Engineer Corps,Nanjing ,China.NEUMANN SERIES SOLUTION TO A NEUTRON TRANSPORT EQUATION OF SLAB GEOMETRY[J].Journal of Systems Science and Complexity,1993(1). |
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| Authors: | WANG Zaihua YANG Mingzhu QIN Guoqiang Institute of Atomic Energy Beijing China College of Engineer Corps Nanjing China |
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| Institution: | WANG Zaihua,YANG Mingzhu,QIN Guoqiang Institute of Atomic Energy,Beijing 102413,China College of Engineer Corps,Nanjing 210007,China |
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| Abstract: | This paper deals with the solution to an energy, dependent stationary neutron
transport equation of slab geometry. In L~p space, the equation is converted into an equiva-
lent integral equation. By the study of the corresponding integral operator and its spectral
radius, results of Neumann series solution are obtained, and an easy-verified condition that
the transport equation has a nonnegative solution is given. |
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| Keywords: | Neutron transport equation series solution spectral radius |
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