Analytical solution of advection–diffusion equation in heterogeneous infinite medium using Green’s function method

Advection Diffusion

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 ◽

A Fast Direct Solver for the Advection-Diffusion Equation Using Low-Rank Approximation of the Green’s Function

10.1007/978-3-319-65870-4_30 ◽

2017 ◽

pp. 423-435

Author(s):

Jonathan R. Bull

Keyword(s):

Diffusion Equation ◽

Green’S Function ◽

Green's Function ◽

Low Rank ◽

Low Rank Approximation ◽

Direct Solver ◽

Advection Diffusion ◽

Fast Direct Solver ◽

Rank Approximation

Analytical solution of two-dimensional advection–dispersion equation with spatio-temporal coefficients for point sources in an infinite medium using Green’s function method

Environmental Fluid Mechanics ◽

10.1007/s10652-018-9578-8 ◽

2018 ◽

Vol 18 (3) ◽

pp. 739-757 ◽

Cited By ~ 2

Author(s):

Abhishek Sanskrityayn ◽

Vijay P. Singh ◽

Vinod Kumar Bharati ◽

Naveen Kumar

Keyword(s):

Analytical Solution ◽

Dispersion Equation ◽

Green's Function ◽

Function Method ◽

Infinite Medium ◽

Point Sources ◽

Two Dimensional ◽

Advection Dispersion ◽

Spatio Temporal

Green's function method for time-fractional diffusion equation on the star graph with equal bonds

Nanosystems Physics Chemistry Mathematics ◽

10.17586/2220-8054-2021-12-3-271-278 ◽

2021 ◽

Vol 12 (3) ◽

pp. 271-278

Author(s):

Z.A. Sobirov ◽

K.U. Rakhimov ◽

R.E. Ergashov

Keyword(s):

Diffusion Equation ◽

Green’S Function ◽

Green's Function ◽

Function Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Star Graph ◽

Time Fractional Diffusion Equation

The infinite medium Green's function method for multigroup discrete ordinates transport problems in multi-layered slab geometry

Annals of Nuclear Energy ◽

10.1016/s0306-4549(00)00116-x ◽

2001 ◽

Vol 28 (11) ◽

pp. 1101-1114 ◽

Cited By ~ 6

Author(s):

Ser Gi Hong ◽

Nam Zin Cho

Keyword(s):

Green’S Function ◽

Green's Function ◽

Function Method ◽

Infinite Medium ◽

Discrete Ordinates ◽

Slab Geometry ◽

Transport Problems

A novel semi-analytical solution for calculating the temperature distribution of the lithium-ion batteries during nail penetration based on Green’s function method

Applied Thermal Engineering ◽

10.1016/j.applthermaleng.2020.115129 ◽

2020 ◽

Vol 174 ◽

pp. 115129 ◽

Cited By ~ 1

Author(s):

Mengqi Ye ◽

Guangdi Hu ◽

Feng Guo ◽

Wencai Huang ◽

Zhichen Wang ◽

...

Keyword(s):

Temperature Distribution ◽

Analytical Solution ◽

Green’S Function ◽

Lithium Ion Batteries ◽

Green's Function ◽

Function Method ◽

Lithium Ion ◽

Green’S Function Method

The Relationship between the Transilient Matrix and the Green’s Function for the Advection-Diffusion Equation

Journal of the Atmospheric Sciences ◽

10.1175/1520-0469(1999)056<2447:trbttm>2.0.co;2 ◽

1999 ◽

Vol 56 (14) ◽

pp. 2447-2453 ◽

Cited By ~ 5

Author(s):

Vincent E. Larson

Keyword(s):

Diffusion Equation ◽

Green’S Function ◽

Green's Function ◽

Advection Diffusion ◽

The Relationship

Three-dimensional analytical solution for transport problem during convection drying using Green's function method (GFM)

Applied Thermal Engineering ◽

10.1016/j.applthermaleng.2015.04.016 ◽

2015 ◽

Vol 85 ◽

pp. 264-277 ◽

Cited By ~ 10

Author(s):

J.A. Esfahani ◽

S.M. Vahidhosseini ◽

E. Barati

Keyword(s):

Analytical Solution ◽

Green’S Function ◽

Green's Function ◽

Function Method ◽

Three Dimensional ◽

Transport Problem ◽

Green’S Function Method

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

Annual Reviews of Heat Transfer ◽

10.1615/annualrevheattransfer.2014006986 ◽

2014 ◽

Vol 17 (N/A) ◽

pp. 89-145 ◽

Cited By ~ 35

Author(s):

Sridhar Sadasivam ◽

Yuhang Che ◽

Zhen Huang ◽

Liang Chen ◽

Satish Kumar ◽

...

Keyword(s):

Green’S Function ◽

Green's Function ◽

Function Method ◽

Phonon Transport ◽

Green’S Function Method

Analytical Solution for the Transient Two-Dimensional Advection-Diffusion Equation Considering Nonlocal Closure of the Turbulent Diffusion

Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer ◽

10.1615/ichmt.2006.turbulheatmasstransf.1530 ◽

2006 ◽

Author(s):

Davidson M. Moreira ◽

Marco Tulio de Vilhena ◽

D. Buske ◽

Tiziano Tirabassi

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Turbulent Diffusion ◽

Two Dimensional ◽

Advection Diffusion

The Calculation of the π-Electron Orbital Energies of the Allyl Cation, Butadiene, and Cyclic Polyenes by Means of Green’s Function Method

Bulletin of the Chemical Society of Japan ◽

10.1246/bcsj.46.392 ◽

1973 ◽

Vol 46 (2) ◽

pp. 392-397 ◽

Cited By ~ 2

Author(s):

Katsumi Shimada ◽

Sadao Okido ◽

Osamu Tanimoto

Keyword(s):

Green’S Function ◽

Green's Function ◽

Function Method ◽

Allyl Cation ◽

Orbital Energies ◽

Electron Orbital ◽

Cyclic Polyenes