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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An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems

TURKISH JOURNAL OF MATHEMATICS ◽

10.3906/mat-1807-195 ◽

2019 ◽

Vol 43 (1) ◽

pp. 460-472

Author(s):

Süleyman CENGIZCI ◽

Srinivasan NATESAN ◽

Mehmet Tarık ATAY

Keyword(s):

Boundary Value Problems ◽

Hybrid Method ◽

Boundary Value ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Diffusion Boundary ◽

Perturbed System

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A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-012-0611-7 ◽

2012 ◽

Vol 41 (1-2) ◽

pp. 447-471 ◽

Author(s):

Pratibhamoy Das ◽

Srinivasan Natesan

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Hybrid Scheme ◽

Singularly Perturbed System ◽

Perturbed System ◽

Uniformly Convergent ◽

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Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction–diffusion boundary-value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.10.023 ◽

2014 ◽

Vol 249 ◽

pp. 265-277 ◽

Author(s):

Pratibhamoy Das ◽

Srinivasan Natesan

Keyword(s):

Error Estimate ◽

Boundary Value Problems ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Optimal Error Estimate ◽

Singularly Perturbed System ◽

Optimal Error ◽

Diffusion Boundary ◽

Perturbed System ◽

Mesh Equidistribution

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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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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 ◽

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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ε-uniform computational method for singularly perturbed system of Dirichlet type boundary value problems with delay

10.1063/1.5112338 ◽

2019 ◽

Author(s):

V. Subburayan ◽

N. Ramanujam ◽

L. S. Senthilkumar

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Computational Method ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Perturbed System ◽

Dirichlet Type ◽

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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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The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-006-0304-9 ◽

2006 ◽

Vol 22 (2) ◽

pp. 277-286 ◽

Author(s):

Jia-qi Mo ◽

Wan-tao Lin

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Initial Boundary Value ◽

Nonlocal Reaction

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Existence and uniqueness of traveling wave front of a nonlinear singularly perturbed system of reaction–diffusion equations with a Heaviside step function

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.07.080 ◽

2014 ◽

Vol 410 (1) ◽

pp. 202-212

Author(s):

Lianzhong Li ◽

Maoan Han ◽

Yuanyuan Liu

Keyword(s):

Traveling Wave ◽

Existence And Uniqueness ◽

Reaction Diffusion ◽

Step Function ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Heaviside Step Function ◽

Perturbed System ◽

Traveling Wave Front

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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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