Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions

M. Stynes; N. Kopteva

doi:10.1016/j.camwa.2006.03.013

Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions

M. Stynes, N. Kopteva

University College Cork

Research output: Contribution to journal › Article › peer-review

Abstract

Semilinear reaction-diffusion two-point boundary value problems with multiple solutions are considered. Here the second-order derivative is multiplied by a small positive parameter and consequently these solutions can have boundary or interior layers. A survey is given of the results obtained in our recent investigations into the numerical solution of these problems on layer-adapted meshes.

Original language	English
Pages (from-to)	857-864
Number of pages	8
Journal	Computers and Mathematics with Applications
Volume	51
Issue number	5 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.camwa.2006.03.013
Publication status	Published - Mar 2006

Keywords

Boundary layer
Interior transition layer
Layer-adapted mesh
Nonlinear
Reaction-diffusion

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10.1016/j.camwa.2006.03.013

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title = "Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions",

abstract = "Semilinear reaction-diffusion two-point boundary value problems with multiple solutions are considered. Here the second-order derivative is multiplied by a small positive parameter and consequently these solutions can have boundary or interior layers. A survey is given of the results obtained in our recent investigations into the numerical solution of these problems on layer-adapted meshes.",

keywords = "Boundary layer, Interior transition layer, Layer-adapted mesh, Nonlinear, Reaction-diffusion",

author = "M. Stynes and N. Kopteva",

year = "2006",

month = mar,

doi = "10.1016/j.camwa.2006.03.013",

language = "English",

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journal = "Computers and Mathematics with Applications",

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T1 - Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions

AU - Stynes, M.

AU - Kopteva, N.

PY - 2006/3

Y1 - 2006/3

N2 - Semilinear reaction-diffusion two-point boundary value problems with multiple solutions are considered. Here the second-order derivative is multiplied by a small positive parameter and consequently these solutions can have boundary or interior layers. A survey is given of the results obtained in our recent investigations into the numerical solution of these problems on layer-adapted meshes.

AB - Semilinear reaction-diffusion two-point boundary value problems with multiple solutions are considered. Here the second-order derivative is multiplied by a small positive parameter and consequently these solutions can have boundary or interior layers. A survey is given of the results obtained in our recent investigations into the numerical solution of these problems on layer-adapted meshes.

KW - Boundary layer

KW - Interior transition layer

KW - Layer-adapted mesh

KW - Nonlinear

KW - Reaction-diffusion

UR - https://www.scopus.com/pages/publications/33745953047

U2 - 10.1016/j.camwa.2006.03.013

DO - 10.1016/j.camwa.2006.03.013

M3 - Article

AN - SCOPUS:33745953047

SN - 0898-1221

VL - 51

SP - 857

EP - 864

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 5 SPEC. ISS.

ER -

Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions

Abstract

Keywords

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