On the numerical solution of diffusion–reaction equations with singular source terms

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.04.017 ◽

2008 ◽

Vol 216 (1) ◽

pp. 20-38 ◽

Author(s):

M. Ashyraliyev ◽

J.G. Blom ◽

J.G. Verwer

Keyword(s):

Numerical Solution ◽

Diffusion Reaction ◽

Source Terms ◽

Singular Source ◽

Reaction Equations

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An efficient HOC scheme for transient convection-diffusion-reaction equations with discontinuous coefficients and singular source terms

PAMM ◽

10.1002/pamm.200700967 ◽

2007 ◽

Vol 7 (1) ◽

pp. 1025603-1025604 ◽

Author(s):

Rajendra K Ray ◽

Jiten C Kalita ◽

Anoop K Dass

Keyword(s):

Discontinuous Coefficients ◽

Diffusion Reaction ◽

Source Terms ◽

Convection Diffusion ◽

Singular Source ◽

Reaction Equations

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Numerical solution of convection–diffusion–reaction equations by a finite element method with error correlation

AIP Advances ◽

10.1063/5.0050792 ◽

2021 ◽

Vol 11 (8) ◽

pp. 085225

Author(s):

Sadia Akter Lima ◽

Md. Kamrujjaman ◽

Md. Shafiqul Islam

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Solution ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Error Correlation ◽

Reaction Equations ◽

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On the numerical solution of hyperbolic equations with singular source terms

10.1063/1.4893863 ◽

2014 ◽

Author(s):

Irfan Turk ◽

Maksat Ashyraliyev

Keyword(s):

Numerical Solution ◽

Hyperbolic Equations ◽

Source Terms ◽

Singular Source

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On the numerical solution of advection-diffusion problems with singular source terms

10.1063/1.5049055 ◽

2018 ◽

Author(s):

Ezgi Soykan ◽

Mehmet Ahlatcioglu ◽

Maksat Ashyraliyev

Keyword(s):

Numerical Solution ◽

Source Terms ◽

Advection Diffusion ◽

Singular Source ◽

Diffusion Problems

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Preconditioned Conjugate Gradient and Multigrid Methods for Numerical Solution of Multicomponent Mass Transfer Equations II. Convection-Diffusion-Reaction Equations

Numerical Heat Transfer Part A Applications ◽

10.1080/10407782.2014.915669 ◽

2014 ◽

Vol 66 (11) ◽

pp. 1297-1319 ◽

Author(s):

Gheorghe Juncu ◽

Aurelian Nicola ◽

Constantin Popa ◽

Elena Stroila

Keyword(s):

Mass Transfer ◽

Numerical Solution ◽

Conjugate Gradient ◽

Multigrid Methods ◽

Diffusion Reaction ◽

Preconditioned Conjugate Gradient ◽

Convection Diffusion ◽

Transfer Equations ◽

Multicomponent Mass Transfer ◽

Reaction Equations

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Preconditioned Conjugate Gradient and Multigrid Methods for Numerical Solution of Multicomponent Mass Transfer Equations I. Diffusion-Reaction Equations

Numerical Heat Transfer Part A Applications ◽

10.1080/10407782.2014.915674 ◽

2014 ◽

Vol 66 (11) ◽

pp. 1268-1296 ◽

Author(s):

Gheorghe Juncu ◽

Aurelian Nicola ◽

Constantin Popa ◽

Elena Stroila

Keyword(s):

Mass Transfer ◽

Numerical Solution ◽

Conjugate Gradient ◽

Multigrid Methods ◽

Diffusion Reaction ◽

Preconditioned Conjugate Gradient ◽

Transfer Equations ◽

Multicomponent Mass Transfer ◽

Reaction Equations

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A combined FIC-TDG finite element approach for the numerical solution of coupled advection-diffusion-reaction equations with application to a bioregulatory model for bone fracture healing

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4338 ◽

2012 ◽

Vol 92 (3) ◽

pp. 301-317 ◽

Author(s):

A. Sapotnick ◽

U. Nackenhorst

Keyword(s):

Finite Element ◽

Numerical Solution ◽

Bone Fracture ◽

Diffusion Reaction ◽

Bone Fracture Healing ◽

Finite Element Approach ◽

Advection Diffusion ◽

Element Approach ◽

Reaction Equations ◽

Advection Diffusion Reaction Equations

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On the numerical solution of diffusion problem with singular source terms

10.1063/1.4747668 ◽

2012 ◽

Author(s):

Irfan Turk ◽

Maksat Ashyraliyev

Keyword(s):

Numerical Solution ◽

Diffusion Problem ◽

Source Terms ◽

Singular Source

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Aerosol Uptake Described by Numerical Solution of the Diffusion−Reaction Equations in the Particle

The Journal of Physical Chemistry A ◽

10.1021/jp021843a ◽

2003 ◽

Vol 107 (45) ◽

pp. 9582-9587 ◽

Author(s):

Geoffrey D. Smith ◽

Ephraim Woods ◽

Tomas Baer ◽

Roger E. Miller

Keyword(s):

Numerical Solution ◽

Diffusion Reaction ◽

Reaction Equations

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Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations

10.1007/978-3-662-09017-6 ◽

2003 ◽

Author(s):

Willem Hundsdorfer ◽

Jan Verwer

Keyword(s):

Numerical Solution ◽

Time Dependent ◽

Diffusion Reaction ◽

Advection Diffusion ◽

Reaction Equations ◽

Advection Diffusion Reaction Equations

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