The formulation and analysis of the nine-point finite difference approximation for the neutron diffusion equation in cylindrical geometry

Neutron Diffusion ◽

The formulation and analysis of the nine-point finite difference approximation for the neutron diffusion equation in cylindrical geometry

10.31274/rtd-180813-2761 ◽

1975 ◽

Author(s):

Hamza Khudhair Al-Dujaili

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Cylindrical Geometry ◽

Neutron Diffusion ◽

Improved nodal expansion method for solving neutron diffusion equation in cylindrical geometry

Nuclear Engineering and Design ◽

10.1016/j.nucengdes.2010.04.021 ◽

2010 ◽

Vol 240 (8) ◽

pp. 1997-2004 ◽

Cited By ~ 5

Author(s):

Dengying Wang ◽

Fu Li ◽

Jiong Guo ◽

Jinfeng Wei ◽

Jingyu Zhang ◽

...

Keyword(s):

Diffusion Equation ◽

Expansion Method ◽

Cylindrical Geometry ◽

Neutron Diffusion ◽

Nodal Expansion Method ◽

Analysis of high order finite difference approximations to the 3-D neutron diffusion equation

Annals of Nuclear Energy ◽

10.1016/0306-4549(87)90044-2 ◽

1987 ◽

Vol 14 (5) ◽

pp. 235-239 ◽

Cited By ~ 1

Author(s):

M. Benghanem ◽

A.F. Rohach

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

High Order ◽

Neutron Diffusion ◽

Finite Difference Approximations ◽

Difference Approximations ◽

High Order Finite Difference ◽

High-Order Finite Difference Nodal Method for Neutron Diffusion Equation

Journal of Nuclear Science and Technology ◽

10.1080/18811248.1991.9731357 ◽

1991 ◽

Vol 28 (4) ◽

pp. 285-292

Author(s):

Kazuo AZEKURA ◽

Kunitoshi KURIHARA

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

High Order ◽

Neutron Diffusion ◽

Nodal Method ◽

High Order Finite Difference ◽

Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.02.047 ◽

2009 ◽

Vol 212 (2) ◽

pp. 435-445 ◽

Cited By ~ 99

Author(s):

R. Lin ◽

F. Liu ◽

V. Anh ◽

I. Turner

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Stability And Convergence ◽

Variable Order ◽

Explicit Finite Difference

Development of a Nodal Method for the Solution of the Neutron Diffusion Equation in General Cylindrical Geometry

10.2172/910654 ◽

2002 ◽

Cited By ~ 3

Author(s):

Abderrafi Mohammed-El-Ami Ougouag ◽

William Knox Terry

Keyword(s):

Diffusion Equation ◽

Cylindrical Geometry ◽

Neutron Diffusion ◽

Nodal Method ◽

A Second Order Finite Difference Approximation for the Fractional Diffusion Equation

International Journal of Applied Physics and Mathematics ◽

10.7763/ijapm.2013.v3.212 ◽

2013 ◽

pp. 237-243 ◽

Cited By ~ 15

Author(s):

H. M. Nasir ◽

B. L. K. Gunawardana ◽

H. M. N. P. Abeyrathna

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Second Order ◽

Fractional Diffusion Equation ◽

Difference Approximation

Lie group invariant finite difference schemes for the neutron diffusion equation

10.2172/10165908 ◽

1994 ◽

Cited By ~ 1

Author(s):

Peter James Jaegers

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Lie Group ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Neutron Diffusion ◽

Group Invariant ◽

Formulation and analysis of higher order finite difference approximations to the neutron diffusion equation

10.31274/rtd-180813-11993 ◽

1986 ◽

Author(s):

Mohammed Benghanem

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Higher Order ◽

Neutron Diffusion ◽

Finite Difference Approximations ◽

Difference Approximations ◽

Explicit Saul’yev finite difference approximation for two-dimensional fractional sub-diffusion equation

10.1063/1.5041642 ◽

2018 ◽

Cited By ~ 1

Author(s):

Umair Ali ◽

Farah Aini Abdullah

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Two Dimensional