Singularly perturbed convection–diffusion problems with boundary and weak interior layers

P.A. Farrell; A.F. Hegarty; J.J.H. Miller; E. O'Riordan; G.I. Shishkin

doi:10.1016/j.cam.2003.09.033

Singularly perturbed convection–diffusion problems with boundary and weak interior layers

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2003.09.033 ◽

2004 ◽

Vol 166 (1) ◽

pp. 133-151 ◽

Cited By ~ 42

Author(s):

P.A. Farrell ◽

A.F. Hegarty ◽

J.J.H. Miller ◽

E. O'Riordan ◽

G.I. Shishkin

Keyword(s):

Singularly Perturbed ◽

Convection Diffusion ◽

Interior Layers ◽

Diffusion Problems

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Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers

Journal of Applied Mathematics and Computing ◽

10.1007/bf02896460 ◽

2006 ◽

Vol 22 (1-2) ◽

pp. 49-65 ◽

Cited By ~ 20

Author(s):

V. Shanthi ◽

N. Ramanujam ◽

S. Natesan

Keyword(s):

Singularly Perturbed ◽

Convection Diffusion ◽

Mesh Method ◽

Interior Layers ◽

Boundary And Interior Layers ◽

Diffusion Problems

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Robust computational method for singularly perturbed system of parabolic convection‐diffusion problems with interior layers

Computational and Mathematical Methods ◽

10.1002/cmm4.1146 ◽

2021 ◽

Author(s):

Srinivasan Natesan ◽

Maneesh K. Singh

Keyword(s):

Computational Method ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Convection Diffusion ◽

Perturbed System ◽

Interior Layers ◽

Diffusion Problems

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A UNIFORMLY CONVERGENT NUMERICAL METHOD FOR A WEAKLY COUPLED SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS WITH BOUNDARY AND WEAK INTERIOR LAYERS

Journal of applied mathematics & informatics ◽

10.14317/jami.2015.635 ◽

2015 ◽

Vol 33 (5_6) ◽

pp. 635-648 ◽

Cited By ~ 2

Author(s):

SHEETAL CHAWLA ◽

S. CHANDRA SEKHARA RAO

Keyword(s):

Numerical Method ◽

Coupled System ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Uniformly Convergent ◽

Interior Layers ◽

Diffusion Problems

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A high order robust numerical scheme for singularly perturbed delay parabolic convection diffusion problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01512-1 ◽

2021 ◽

Author(s):

Gajendra Babu ◽

Komal Bansal

Keyword(s):

Numerical Scheme ◽

High Order ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Diffusion Problems

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A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.08.020 ◽

2017 ◽

Vol 313 ◽

pp. 152-167 ◽

Cited By ~ 9

Author(s):

Li-Bin Liu ◽

Yanping Chen

Keyword(s):

Error Estimation ◽

Coupled System ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Strongly Coupled ◽

Convection Diffusion ◽

Diffusion Problems

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Parameter‐uniform numerical method for singularly perturbed 2‐D parabolic convection–diffusion problem with interior layers

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7975 ◽

2021 ◽

Author(s):

Anirban Majumdar ◽

Srinivasan Natesan

Keyword(s):

Numerical Method ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Interior Layers

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A Novel Adaptive Mesh Strategy for Singularly Perturbed Parabolic Convection Diffusion Problems

Differential Equations and Dynamical Systems ◽

10.1007/s12591-017-0394-2 ◽

2017 ◽

Vol 27 (1-3) ◽

pp. 203-220 ◽

Cited By ~ 1

Author(s):

Vivek Kumar ◽

Balaji Srinivasan

Keyword(s):

Adaptive Mesh ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Diffusion Problems

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The Error Function in the Study of Singularly Perturbed Convection-Diffusion Problems with Discontinuous Boundary Data

Progress in Industrial Mathematics at ECMI 2008 - Mathematics in Industry ◽

10.1007/978-3-642-12110-4_9 ◽

2010 ◽

pp. 105-110

Author(s):

J. J. López ◽

E. Pérez Sinusía ◽

N. M. Temme

Keyword(s):

Boundary Data ◽

Error Function ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Discontinuous Boundary ◽

Discontinuous Boundary Data ◽

Diffusion Problems

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$L^\infty$ estimation of the LDG method for 1-d singularly perturbed convection-diffusion problems

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2013.18.1493 ◽

2013 ◽

Vol 18 (5) ◽

pp. 1493-1505

Author(s):

Huiqing Zhu ◽

◽

Runchang Lin ◽

Keyword(s):

Singularly Perturbed ◽

Convection Diffusion ◽

Ldg Method ◽

Diffusion Problems

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The SDFEM for singularly perturbed convection–diffusion problems with discontinuous source term arising in the chemical reactor theory

International Journal of Computer Mathematics ◽

10.1080/00207160.2010.521815 ◽

2011 ◽

Vol 88 (8) ◽

pp. 1664-1680

Author(s):

A. Ramesh Babu ◽

N. Ramanujam

Keyword(s):

Source Term ◽

Chemical Reactor ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Discontinuous Source Term ◽

Diffusion Problems

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