Analytical solutions for transient diffusion problems in infinite media

Analytical solutions are given to a class of unsteady one-dimensional convective-diffusion problems assuming power-law velocity profiles close to the transport-active surface.

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APPROXIMATE ANALYTICAL SOLUTIONS FOR DIFFUSION PROBLEMS IN UNBOUNDED MEDIA AND THEIR APPLICATION IN INFINITE ELEMENTS

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/eb017552 ◽

1996 ◽

Vol 6 (7) ◽

pp. 63-80 ◽

Cited By ~ 1

Author(s):

Y.C. LI

Keyword(s):

Analytical Solutions ◽

Infinite Elements ◽

Approximate Analytical Solutions ◽

Unbounded Media ◽

Diffusion Problems

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Comment on “Analytical solutions to one-dimensional advection–diffusion equation with variable coefficients in semi-infinite media” by Kumar, A., Jaiswal, D.K., Kumar, N., J. Hydrol., 2010, 380: 330–337

Journal of Hydrology ◽

10.1016/j.jhydrol.2011.12.045 ◽

2012 ◽

Vol 424-425 ◽

pp. 278-279 ◽

Cited By ~ 8

Author(s):

Baoqing Deng ◽

Yinfeng Qiu

Keyword(s):

Diffusion Equation ◽

Analytical Solutions ◽

Variable Coefficients ◽

One Dimensional ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Infinite Media

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SOLUTION CONTOUR-BASED ADAPTIVE REGRIDDIIMG SCHEME FOR TRANSIENT DIFFUSION PROBLEMS

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407799208944924 ◽

1992 ◽

Vol 21 (1) ◽

pp. 99-124 ◽

Cited By ~ 2

Author(s):

V. N. Parthasarathy ◽

Subrata Sengupta

Keyword(s):

Transient Diffusion ◽

Diffusion Problems

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Analytical solutions of convection–diffusion problems by combining Laplace transform method and homotopy perturbation method

Alexandria Engineering Journal ◽

10.1016/j.aej.2015.05.004 ◽

2015 ◽

Vol 54 (3) ◽

pp. 645-651 ◽

Cited By ~ 18

Author(s):

Sumit Gupta ◽

Devendra Kumar ◽

Jagdev Singh

Keyword(s):

Laplace Transform ◽

Perturbation Method ◽

Analytical Solutions ◽

Homotopy Perturbation Method ◽

Laplace Transform Method ◽

Transform Method ◽

Convection Diffusion ◽

Homotopy Perturbation ◽

Diffusion Problems

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An Unconditionally Stable Laguerre Based Finite Difference Method for Transient Diffusion and Convection-Diffusion Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0026 ◽

2019 ◽

Vol 12 (3) ◽

pp. 681-708

Author(s):

Wescley T. B. de Sousa and Carlos F. T. Matt

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Unconditionally Stable ◽

Convection Diffusion ◽

Transient Diffusion ◽

Diffusion And Convection ◽

Diffusion Problems

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A partition of unity finite element method for three-dimensional transient diffusion problems with sharp gradients

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.062 ◽

2019 ◽

Vol 396 ◽

pp. 702-717 ◽

Cited By ~ 7

Author(s):

Mustapha Malek ◽

Nouh Izem ◽

M. Shadi Mohamed ◽

Mohammed Seaid ◽

Omar Laghrouche

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Three Dimensional ◽

Partition Of Unity ◽

Transient Diffusion ◽

Diffusion Problems ◽

Element Method

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A partition of unity finite element method for nonlinear transient diffusion problems in heterogeneous materials

Computational and Applied Mathematics ◽

10.1007/s40314-019-0782-z ◽

2019 ◽

Vol 38 (2) ◽

Cited By ~ 4

Author(s):

Mustapha Malek ◽

Nouh Izem ◽

Mohammed Seaid ◽

M. Shadi Mohamed ◽

Mohamed Wakrim

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Heterogeneous Materials ◽

Partition Of Unity ◽

Transient Diffusion ◽

Nonlinear Transient ◽

Diffusion Problems ◽

Element Method

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A METHOD FOR SOLVING TRANSIENT DIFFUSION PROBLEMS

Numerical Heat Transfer ◽

10.1080/10407788608913500 ◽

1986 ◽

Vol 9 (6) ◽

pp. 663-676 ◽

Cited By ~ 2

Author(s):

Yi-Hsu Ju ◽

Wen-Chien Lee

Keyword(s):

Transient Diffusion ◽

Diffusion Problems

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