Second Order Uniformly Convergent Numerical Method for a Coupled System of Singularly Perturbed Reaction-Diffusion Problems with Discontinuous Source Term

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014 ◽

10.1007/978-3-319-25727-3_18 ◽

2015 ◽

pp. 233-244 ◽

Cited By ~ 1

Author(s):

S. Chandra Sekhara Rao ◽

Sheetal Chawla

Keyword(s):

Numerical Method ◽

Source Term ◽

Reaction Diffusion ◽

Coupled System ◽

Second Order ◽

Singularly Perturbed ◽

Discontinuous Source Term ◽

Uniformly Convergent ◽

Diffusion Problems

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A robust second order numerical method for a weakly coupled system of singularly perturbed reaction-diffusion problem with discontinuous source term

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2020.10027187 ◽

2020 ◽

Vol 11 (1) ◽

pp. 63

Author(s):

Vembu Shanthi ◽

Pathan Mahabub Basha

Keyword(s):

Numerical Method ◽

Source Term ◽

Reaction Diffusion ◽

Coupled System ◽

Diffusion Problem ◽

Second Order ◽

Singularly Perturbed ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Discontinuous Source Term

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A robust second order numerical method for a weakly coupled system of singularly perturbed reaction-diffusion problem with discontinuous source term

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2020.105449 ◽

2020 ◽

Vol 11 (1) ◽

pp. 63

Author(s):

Pathan Mahabub Basha ◽

Vembu Shanthi

Keyword(s):

Numerical Method ◽

Source Term ◽

Reaction Diffusion ◽

Coupled System ◽

Diffusion Problem ◽

Second Order ◽

Singularly Perturbed ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Discontinuous Source Term

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A Numerical Method for Singularly Perturbed Second Order Coupled System of Convection–Diffusion Robin Type Boundary Value Problems with Discontinuous Source Term

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-014-0021-7 ◽

2014 ◽

Vol 1 (3) ◽

pp. 381-397 ◽

Cited By ~ 3

Author(s):

P. Mahabub Basha ◽

V. Shanthi

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Source Term ◽

Boundary Value ◽

Coupled System ◽

Second Order ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Discontinuous Source Term ◽

Type Boundary

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A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/23.4.627 ◽

2003 ◽

Vol 23 (4) ◽

pp. 627-644 ◽

Cited By ~ 71

Author(s):

N. Madden

Keyword(s):

Numerical Method ◽

Reaction Diffusion ◽

Coupled System ◽

Singularly Perturbed ◽

Linear Reaction ◽

Uniformly Convergent ◽

Diffusion Problems

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A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with discontinuous source term

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.02.025 ◽

2007 ◽

Vol 202 (2) ◽

pp. 203-216 ◽

Cited By ~ 26

Author(s):

A. Tamilselvan ◽

N. Ramanujam ◽

V. Shanthi

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Method ◽

Source Term ◽

Coupled System ◽

Second Order ◽

Singularly Perturbed ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Discontinuous Source Term

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Numerical method for a boundary value problem for a linear singularly perturbed parabolic delay differential equation of reaction-diffusion type with discontinuous source term

Journal of Physics Conference Series ◽

10.1088/1742-6596/1850/1/012063 ◽

2021 ◽

Vol 1850 (1) ◽

pp. 012063

Author(s):

Parthiban Saminathan ◽

Franklin Victor

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Numerical Method ◽

Delay Differential Equation ◽

Source Term ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Diffusion Type ◽

Discontinuous Source Term ◽

Delay Differential

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Fitted mesh method for a weakly coupled system of singularly perturbed reaction–convection–diffusion problems with discontinuous source term

Ain Shams Engineering Journal ◽

10.1016/j.asej.2016.05.006 ◽

2018 ◽

Vol 9 (4) ◽

pp. 1089-1101

Author(s):

Pathan Mahabub Basha ◽

Vembu Shanthi

Keyword(s):

Source Term ◽

Coupled System ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Mesh Method ◽

Discontinuous Source Term ◽

Diffusion Problems

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Second order global uniformly convergent numerical method for a coupled system of singularly perturbed initial value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.09.075 ◽

2012 ◽

Vol 219 (8) ◽

pp. 3740-3753 ◽

Cited By ~ 4

Author(s):

S. Chandra Sekhara Rao ◽

Sunil Kumar

Keyword(s):

Numerical Method ◽

Initial Value Problems ◽

Coupled System ◽

Second Order ◽

Singularly Perturbed ◽

Initial Value ◽

Uniformly Convergent

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Robust computational methods for a coupled system of singularly perturbed reaction-diffusion equations with discontinuous source term

Journal of Modern Methods in Numerical Mathematics ◽

10.20454/jmmnm.2015.994 ◽

2015 ◽

Vol 6 (2) ◽

pp. 64 ◽

Cited By ~ 1

Author(s):

Mahabub Basha Pathan ◽

Shanthi Vembu

Keyword(s):

Computational Methods ◽

Source Term ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Discontinuous Source Term

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Interior Layers in Coupled System of Two Singularly Perturbed Reaction-Diffusion Equations with Discontinuous Source Term

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-642-41515-9_50 ◽

2013 ◽

pp. 445-453 ◽

Cited By ~ 3

Author(s):

S. Chandra Sekhara Rao ◽

Sheetal Chawla

Keyword(s):

Source Term ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Discontinuous Source Term ◽

Interior Layers

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