Numerical solution of a two-dimensional singularly perturbed reaction-diffusion problem with discontinuous coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.04.027 ◽

2006 ◽

Vol 182 (1) ◽

pp. 631-643 ◽

Author(s):

Iliya A. Brayanov

Keyword(s):

Numerical Solution ◽

Reaction Diffusion ◽

Discontinuous Coefficients ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Two Dimensional

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The Existence and Stability of Periodic Solutions with a Boundary Layer in a Two-Dimensional Reaction-Diffusion Problem in the Case of Singularly Perturbed Boundary Conditions of the Second Kind

Moscow University Physics Bulletin ◽

10.3103/s0027134920020083 ◽

2020 ◽

Vol 75 (2) ◽

pp. 116-122 ◽

Author(s):

N. N. Nefedov ◽

E. I. Nikulin

Keyword(s):

Boundary Layer ◽

Boundary Conditions ◽

Periodic Solutions ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Two Dimensional ◽

Existence And Stability

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Improvement of numerical solution by boundary value technique for singularly perturbed one dimensional reaction diffusion problem

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00312-0 ◽

2003 ◽

Vol 142 (2-3) ◽

pp. 417-447 ◽

Author(s):

J Jayakumar

Keyword(s):

Numerical Solution ◽

Boundary Value ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

One Dimensional

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Parameter-uniform numerical method for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.03.016 ◽

2021 ◽

Author(s):

S. Chandra Sekhara Rao ◽

Abhay Kumar Chaturvedi

Keyword(s):

Numerical Method ◽

Boundary Layers ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Two Dimensional

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A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem

Advances in Computational Mathematics ◽

10.1007/s10444-014-9395-7 ◽

2014 ◽

Vol 41 (6) ◽

pp. 987-1014 ◽

Author(s):

Niall Madden ◽

Stephen Russell

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Sparse Grid ◽

Singularly Perturbed ◽

Two Dimensional ◽

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Numerical Solution of a Class of Singularly Perturbed Parabolic Reaction-Diffusion Problem

Advances in Applied Mathematics ◽

10.12677/aam.2019.86136 ◽

2019 ◽

Vol 08 (06) ◽

pp. 1181-1191

Author(s):

辰辉赵

Keyword(s):

Numerical Solution ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed

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Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drl020 ◽

2006 ◽

Vol 27 (3) ◽

pp. 576-592 ◽

Author(s):

N. Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error

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Higher-order accurate schemes for a variable coefficient singularly perturbed reaction-diffusion problem of boundary layer type

Applied Mathematical Sciences ◽

10.12988/ams.2016.6140 ◽

2016 ◽

Vol 10 ◽

pp. 1181-1199

Author(s):

Brian J. McCartin

Keyword(s):

Boundary Layer ◽

Variable Coefficient ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Higher Order ◽

Singularly Perturbed

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Higher-order accurate schemes for a constant coefficient singularly perturbed reaction-diffusion problem of highly oscillatory type

Applied Mathematical Sciences ◽

10.12988/ams.2016.66199 ◽

2016 ◽

Vol 10 ◽

pp. 2295-2312

Author(s):

Brian J. McCartin

Keyword(s):

Constant Coefficient ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Higher Order ◽

Singularly Perturbed ◽

Highly Oscillatory

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Guaranteed a posteriori error estimates for nonconforming finite element approximations to a singularly perturbed reaction–diffusion problem

Applied Numerical Mathematics ◽

10.1016/j.apnum.2015.02.002 ◽

2015 ◽

Vol 94 ◽

pp. 1-15 ◽

Author(s):

Bei Zhang ◽

Shaochun Chen ◽

Jikun Zhao

Keyword(s):

Finite Element ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Nonconforming Finite Element ◽

A Posteriori ◽

A Posteriori Error ◽

Finite Element Approximations

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Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction–diffusion problem

Numerische Mathematik ◽

10.1007/s00211-011-0395-y ◽

2011 ◽

Vol 119 (4) ◽

pp. 787-810 ◽

Author(s):

Natalia Kopteva ◽

Martin Stynes

Keyword(s):

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

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