ON CONSTRUCTION OF A GLOBAL NUMERICAL SOLUTION FOR A SEMILINEAR SINGULARLY-PERTURBED REACTION DIFFUSION BOUNDARY VALUE PROBLEM

Математички билтен/BULLETIN MATHÉMATIQUE DE LA SOCIÉTÉ DES MATHÉMATICIENS DE LA RÉPUBLIQUE MACÉDOINE ◽

10.37560/matbil2020131k ◽

2020 ◽

pp. 131-148

Author(s):

Samir Karasuljić

Keyword(s):

Boundary Value Problem ◽

Numerical Solution ◽

Boundary Value ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Diffusion Boundary

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A uniformly convergent difference scheme on a modified Shishkin mesh for the singularly perturbed reaction-diffusion boundary value problem

Journal of Modern Methods in Numerical Mathematics ◽

10.20454/jmmnm.2015.971 ◽

2015 ◽

Vol 6 (1) ◽

pp. 28

Author(s):

Vedad Pasic ◽

Enes Duvnjakovic ◽

Samir Karasuljic ◽

Helena Zarin

Keyword(s):

Boundary Value Problem ◽

Difference Scheme ◽

Boundary Value ◽

Reaction Diffusion ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Diffusion Boundary ◽

Uniformly Convergent ◽

Convergent Difference Scheme

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A Uniformly Convergent NIPG Method for a Singularly Perturbed System of Reaction–Diffusion Boundary-Value Problems

Mathematics and Computing - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-981-13-2095-8_33 ◽

2018 ◽

pp. 429-440

Author(s):

Gautam Singh ◽

Srinivasan Natesan

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Diffusion Boundary ◽

Perturbed System ◽

Uniformly Convergent

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Numerical solution of singularly perturbed fifth order two point boundary value problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.01.003 ◽

2005 ◽

Vol 170 (2) ◽

pp. 1085-1094 ◽

Cited By ~ 11

Author(s):

Muhammed I. Syam ◽

Basem S. Attili

Keyword(s):

Boundary Value Problem ◽

Numerical Solution ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary ◽

Fifth Order

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The finite difference method on adaptive mesh for singularly perturbed nonlinear 1D reaction diffusion boundary value problems

Journal of Applied Mathematics and Computational Mechanics ◽

10.17512/jamcm.2020.4.04 ◽

2020 ◽

Vol 19 (4) ◽

pp. 45-56

Author(s):

Hakkı Duru ◽

Baransel Güneş

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Reaction Diffusion ◽

Adaptive Mesh ◽

Singularly Perturbed ◽

Diffusion Boundary ◽

The Finite Difference Method

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Numerical solution of a singularly perturbed three-point boundary value problem

International Journal of Computer Mathematics ◽

10.1080/00207160701296462 ◽

2007 ◽

Vol 84 (10) ◽

pp. 1465-1481 ◽

Cited By ~ 12

Author(s):

M. Cakir ◽

G. M. Amiraliyev

Keyword(s):

Boundary Value Problem ◽

Numerical Solution ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary

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A parameter robust computational method for a weakly coupled system of singularly perturbed convection-diffusion boundary value problem with discontinuous source terms

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2021.10041738 ◽

2021 ◽

Vol 14 (1) ◽

pp. 54

Author(s):

Pathan Mahabub Basha ◽

Vembu Shanthi

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Coupled System ◽

Computational Method ◽

Singularly Perturbed ◽

Source Terms ◽

Diffusion Boundary ◽

Convection Diffusion ◽

Weakly Coupled ◽

Weakly Coupled System

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A Robust computational method for singularly perturbed coupled system of reaction–diffusion boundary-value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.09.120 ◽

2007 ◽

Vol 188 (1) ◽

pp. 353-364 ◽

Cited By ~ 8

Author(s):

Srinivasan Natesan ◽

Briti Sundar Deb

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Coupled System ◽

Computational Method ◽

Singularly Perturbed ◽

Diffusion Boundary

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The initial boundary value problem for a nonlocal singularly perturbed reaction-diffusion equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542512060115 ◽

2012 ◽

Vol 52 (6) ◽

pp. 926-931 ◽

Cited By ~ 4

Author(s):

N. N. Nefedov ◽

A. G. Nikitin

Keyword(s):

Diffusion Equation ◽

Boundary Value Problem ◽

Boundary Value ◽

Reaction Diffusion ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Singularly Perturbed ◽

Reaction Diffusion Equation ◽

Initial Boundary Value

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A Numerical Solution of the Semi Linear Singularly Perturbed Boundary Value Problem Using Multi Region Finite Difference Method

2009 11th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing ◽

10.1109/synasc.2009.35 ◽

2009 ◽

Author(s):

David Edwards Jr.

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problem ◽

Numerical Solution ◽

Difference Method ◽

Boundary Value ◽

Singularly Perturbed

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Numerical solution of a singularly perturbed two-point boundary value problem using equidistribution: analysis of convergence

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00315-5 ◽

2000 ◽

Vol 116 (1) ◽

pp. 121-143 ◽

Cited By ~ 54

Author(s):

Y. Qiu ◽

D.M. Sloan ◽

T. Tang

Keyword(s):

Boundary Value Problem ◽

Numerical Solution ◽

Boundary Value ◽

Singularly Perturbed ◽

Point Boundary

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