The Solution of the Space-Time Neutron Group Diffusion Equations by a Time-Discontinuous Synthesis Method

Nuclear Science and Engineering ◽

10.13182/nse67-a17285 ◽

1967 ◽

Vol 29 (3) ◽

pp. 381-391 ◽

Author(s):

J. B. Yasinsky

Keyword(s):

Synthesis Method ◽

Diffusion Equations

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Fast algorithms for high-dimensional variable-order space-time fractional diffusion equations

Computational and Applied Mathematics ◽

10.1007/s40314-021-01496-5 ◽

2021 ◽

Vol 40 (4) ◽

Author(s):

Lei Zhang ◽

Guo-Feng Zhang

Keyword(s):

Fast Algorithms ◽

Fractional Diffusion ◽

Diffusion Equations ◽

High Dimensional ◽

Variable Order ◽

Fractional Diffusion Equations ◽

Dimensional Variable

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Analytical solutions of the space–time fractional Telegraph and advection–diffusion equations

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2017.09.105 ◽

2018 ◽

Vol 491 ◽

pp. 810-819 ◽

Author(s):

Ashraf M. Tawfik ◽

Horst Fichtner ◽

Reinhard Schlickeiser ◽

A. Elhanbaly

Keyword(s):

Analytical Solutions ◽

Diffusion Equations ◽

Advection Diffusion

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Iterative methods for solving space-time one dimensional multigroup diffusion equations

International Journal of Nuclear Energy Science and Technology ◽

10.1504/ijnest.2010.030553 ◽

2010 ◽

Vol 5 (2) ◽

pp. 114

Author(s):

Y. Yulianti ◽

Z. Su'ud ◽

A. Waris ◽

S.N. Khotimah

Keyword(s):

Iterative Methods ◽

Diffusion Equations ◽

One Dimensional

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A space-time backward substitution method for three-dimensional advection-diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.025 ◽

2021 ◽

Vol 97 ◽

pp. 77-85

Author(s):

HongGuang Sun ◽

Yi Xu ◽

Ji Lin ◽

Yuhui Zhang

Keyword(s):

Three Dimensional ◽

Diffusion Equations ◽

Substitution Method ◽

Advection Diffusion

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Reaction–diffusion equations in space–time periodic media

Comptes Rendus Mathematique ◽

10.1016/j.crma.2007.10.004 ◽

2007 ◽

Vol 345 (9) ◽

pp. 489-493 ◽

Author(s):

Grégoire Nadin

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Periodic Media ◽

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Computation accuracy and efficiency of a coarse-mesh analytic nodal method for LWR transient problems, in comparison with a space-time synthesis method

Annals of Nuclear Energy ◽

10.1016/0306-4549(81)90119-5 ◽

1981 ◽

Vol 8 (10) ◽

pp. 509-524 ◽

Author(s):

E. Brega ◽

F. Di Pasquantonio ◽

E. Salina

Keyword(s):

Synthesis Method ◽

Coarse Mesh ◽

Nodal Method ◽

Transient Problems

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Solving linear and non-linear space-time fractional reaction-diffusion equations by the Adomian decomposition method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2165 ◽

2007 ◽

Vol 74 (1) ◽

pp. 138-158 ◽

Author(s):

Q. Yu ◽

F. Liu ◽

V. Anh ◽

I. Turner

Keyword(s):

Linear Space ◽

Decomposition Method ◽

Adomian Decomposition Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Adomian Decomposition ◽

Fractional Reaction

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Space‐time finite element adaptive AMG for multi‐term time fractional advection diffusion equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5876 ◽

2019 ◽

Author(s):

Xiaoqiang Yue ◽

Menghuan Liu ◽

Shi Shu ◽

Weiping Bu ◽

Yehong Xu

Keyword(s):

Finite Element ◽

Diffusion Equations ◽

Advection Diffusion

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A space-time least-square finite element scheme for advection-diffusion equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(84)90012-4 ◽

1984 ◽

Vol 42 (3) ◽

pp. 331-342 ◽

Author(s):

H. Nguyen ◽

J. Reynen

Keyword(s):

Finite Element ◽

Least Square ◽

Diffusion Equations ◽

Finite Element Scheme ◽

Element Scheme ◽

Advection Diffusion

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On the Quasi-Static Synthesis Method for Space-Time Dynamics Problems

Nuclear Science and Engineering ◽

10.13182/nse79-a19072 ◽

1979 ◽

Vol 71 (3) ◽

pp. 343-344

Author(s):

J. B. Doshi

Keyword(s):

Synthesis Method ◽

Time Dynamics ◽

Dynamics Problems

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