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

Srinivasan Natesan; Briti Sundar Deb

doi:10.1016/j.amc.2006.09.120

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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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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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 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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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 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.2021.118076 ◽

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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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 ◽

Cited By ~ 5

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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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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On Computational Assessment of Perturbation Parameter (Ɛ) on Third Order Singularly Perturbed Convection-Diffusion Boundary Value Problems

Journal of Applied Mathematics and Computation ◽

10.26855/jamc.2019.02.001 ◽

2019 ◽

Vol 3 (2) ◽

Author(s):

Falade Kazeem Iyanda ◽

◽

Ayodele Victoria Iyadunni ◽

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Perturbation Parameter ◽

Singularly Perturbed ◽

Third Order ◽

Diffusion Boundary ◽

Convection Diffusion

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A numerical treatment for the system of singularly perturbed convection-reaction-diffusion two point boundary value problems with non-smooth data

Journal of Physics Conference Series ◽

10.1088/1742-6596/1139/1/012019 ◽

2018 ◽

Vol 1139 ◽

pp. 012019

Author(s):

T Prabha ◽

V Shanthi

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Point Boundary ◽

Numerical Treatment ◽

Smooth Data

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A computational method for solving third-order singularly perturbed boundary-value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.09.023 ◽

2008 ◽

Vol 198 (2) ◽

pp. 896-903 ◽

Cited By ~ 13

Author(s):

M. Cui ◽

F. Geng

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Computational Method ◽

Singularly Perturbed ◽

Third Order

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