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 variable coefficient singularly perturbed reaction-diffusion problem of highly oscillatory type

Applied Mathematical Sciences ◽

10.12988/ams.2016.66200 ◽

2016 ◽

Vol 10 ◽

pp. 2313-2331

Author(s):

Brian J. McCartin

Keyword(s):

Variable Coefficient ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Higher Order ◽

Singularly Perturbed ◽

Highly Oscillatory

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

Applied Mathematical Sciences ◽

10.12988/ams.2016.6139 ◽

2016 ◽

Vol 10 ◽

pp. 1163-1179

Author(s):

Brian J. McCartin

Keyword(s):

Boundary Layer ◽

Constant 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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Periodic Boundary Layer Solutions of a Reaction–Diffusion Problem with Singularly Perturbed Boundary Conditions of the Third Kind

Differential Equations ◽

10.1134/s00122661200120083 ◽

2020 ◽

Vol 56 (12) ◽

pp. 1594-1603

Author(s):

N. N. Nefedov ◽

E. I. Nikulin

Keyword(s):

Boundary Layer ◽

Boundary Conditions ◽

Periodic Boundary ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

The Third ◽

Periodic Boundary Layer

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A higher-order accurate difference approximation of singularly perturbed reaction-diffusion problem using grid equidistribution

Ain Shams Engineering Journal ◽

10.1016/j.asej.2021.04.024 ◽

2021 ◽

Author(s):

Aastha Gupta ◽

Aditya Kaushik

Keyword(s):

Reaction Diffusion ◽

Diffusion Problem ◽

Higher Order ◽

Singularly Perturbed ◽

Difference Approximation

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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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The Existence of a Boundary-Layer Stationary Solution to a Reaction–Diffusion Equation with Singularly Perturbed Neumann Boundary Condition

Moscow University Physics Bulletin ◽

10.3103/s0027134920050185 ◽

2020 ◽

Vol 75 (5) ◽

pp. 409-414

Author(s):

N. N. Nefedov ◽

N. N. Deryugina

Keyword(s):

Boundary Layer ◽

Boundary Condition ◽

Diffusion Equation ◽

Stationary Solution ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation

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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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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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