Numerical Solution of the Multigroup Neutron Diffusion Equation by the Meshless RBF Collocation Method

Mathematical and Computational Applications ◽

10.3390/mca18030399 ◽

2013 ◽

Vol 18 (3) ◽

pp. 399-407 ◽

Author(s):

Tayfun Tanbay ◽

Bilge Ozgener

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Collocation Method ◽

Neutron Diffusion ◽

Multigroup Neutron ◽

Neutron Diffusion Equation

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SYMMETRIES AND NUMERICAL SOLUTION TO THE MULTIGROUP NEUTRON DIFFUSION EQUATION

Acta Physica Sinica ◽

10.7498/aps.49.1947 ◽

2000 ◽

Vol 49 (10) ◽

pp. 1947

Author(s):

ZHANG SHAO-HONG ◽

XIE ZHONG-SHENG

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Neutron Diffusion ◽

Multigroup Neutron ◽

Neutron Diffusion Equation

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Variational nodal method for three-dimensional multigroup neutron diffusion equation based on arbitrary triangular prism

Annals of Nuclear Energy ◽

10.1016/j.anucene.2021.108285 ◽

2021 ◽

Vol 158 ◽

pp. 108285

Author(s):

Kun Zhuang ◽

Wen Shang ◽

Ting Li ◽

Jiangtao Yan ◽

Sipeng Wang ◽

...

Keyword(s):

Diffusion Equation ◽

Three Dimensional ◽

Triangular Prism ◽

Neutron Diffusion ◽

Nodal Method ◽

Multigroup Neutron ◽

Neutron Diffusion Equation

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NUMERICAL SOLUTION OF THE NEUTRON DIFFUSION EQUATION

Nuclear Reactor Physics and Engineering ◽

10.1002/9781119582342.ch6 ◽

2020 ◽

pp. 131-164

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Neutron Diffusion ◽

Neutron Diffusion Equation

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The Application of the Finite Element Method to the Multigroup Neutron Diffusion Equation

Nuclear Science and Engineering ◽

10.13182/nse72-a22416 ◽

1972 ◽

Vol 47 (3) ◽

pp. 302-310 ◽

Author(s):

L. A. Semenza ◽

E. E. Lewis ◽

E. C. Rossow

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Neutron Diffusion ◽

The Finite Element Method ◽

Multigroup Neutron ◽

Neutron Diffusion Equation ◽

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A New Method for the Numerical Solution of the Two-Dimensional Neutron Diffusion Equation

Nuclear Science and Engineering ◽

10.13182/nse75-a40342 ◽

1975 ◽

Vol 57 (1) ◽

pp. 53-62 ◽

Author(s):

Katsutada Aoki ◽

Makoto Tsuiki

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Neutron Diffusion ◽

Two Dimensional ◽

Neutron Diffusion Equation

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Development of Galerkin Finite Element Method Three-dimensional Computational Code for the Multigroup Neutron Diffusion Equation with Unstructured Tetrahedron Elements

Nuclear Engineering and Technology ◽

10.1016/j.net.2015.10.009 ◽

2016 ◽

Vol 48 (1) ◽

pp. 43-54 ◽

Author(s):

Seyed Abolfazl Hosseini

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Three Dimensional ◽

Neutron Diffusion ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Computational Code ◽

Multigroup Neutron ◽

Neutron Diffusion Equation

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Development of the nodal collocation method for solving the neutron diffusion equation

Annals of Nuclear Energy ◽

10.1016/0306-4549(87)90074-0 ◽

1987 ◽

Vol 14 (10) ◽

pp. 527-541 ◽

Author(s):

A. Hébert

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Neutron Diffusion ◽

Neutron Diffusion Equation

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The Application of the Symmetric SOR and the Symmetric SIP Methods for the Numerical Solution of the Neutron Diffusion Equation

Nuclear Science and Engineering ◽

10.13182/nse78-a15433 ◽

1978 ◽

Vol 67 (2) ◽

pp. 162-171 ◽

Author(s):

H. H. Wang

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Neutron Diffusion ◽

Neutron Diffusion Equation

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Application of the collocation method to the solution of the time-dependent neutron diffusion equation

Transport Theory and Statistical Physics ◽

10.1080/00411458308211636 ◽

1983 ◽

Vol 12 (3) ◽

pp. 285-306 ◽

Author(s):

S. H. Bian

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Time Dependent ◽

Neutron Diffusion ◽

Neutron Diffusion Equation

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APPLICATIONS OF FINITE ELEMENT METHODS IN REACTOR MATHEMATICS. NUMERICAL SOLUTION OF THE NEUTRON DIFFUSION EQUATION.

10.2172/4638470 ◽

1972 ◽

Author(s):

H.G. Kaper ◽

G.K. Leaf ◽

A.J. Lindeman

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Numerical Solution ◽

Finite Element Methods ◽

Neutron Diffusion ◽

Neutron Diffusion Equation

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