A SCHWARZ METHOD FOR FOURTH-ORDER SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEM WITH DISCONTINUOUS SOURCE TERM

M. CHANDR; V. SHANTHI

doi:10.14317/jami.2016.495

A SCHWARZ METHOD FOR FOURTH-ORDER SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEM WITH DISCONTINUOUS SOURCE TERM

Journal of applied mathematics & informatics ◽

10.14317/jami.2016.495 ◽

2016 ◽

Vol 34 (5_6) ◽

pp. 495-508 ◽

Cited By ~ 2

Author(s):

M. CHANDR ◽

V. SHANTHI

Keyword(s):

Fourth Order ◽

Source Term ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Schwarz Method ◽

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.2020.10027187 ◽

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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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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The Error Analysis of Finite Difference Approximation for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations with Discontinuous Source Term

Finite Difference Methods. Theory and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-030-11539-5_18 ◽

2019 ◽

pp. 175-184

Author(s):

S. Chandra Sekhara Rao ◽

Sheetal Chawla

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Source Term ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Finite Difference Approximation ◽

Diffusion Equations ◽

Difference Approximation ◽

Discontinuous Source Term

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An asymptotic finite element method for singularly perturbed third and fourth order ordinary differential equations with discontinuous source term

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.02.093 ◽

2007 ◽

Vol 191 (2) ◽

pp. 372-380 ◽

Cited By ~ 4

Author(s):

A. Ramesh Babu ◽

N. Ramanujam

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Source Term ◽

Singularly Perturbed ◽

Discontinuous Source Term ◽

Element Method

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An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem

Numerische Mathematik ◽

10.1007/s002110050130 ◽

1995 ◽

Vol 70 (4) ◽

pp. 487-500 ◽

Cited By ~ 18

Author(s):

Guangfu Sun ◽

Martin Stynes

Keyword(s):

Difference Scheme ◽

Fourth Order ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

Convergent Difference Scheme

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A second-order overlapping Schwarz method for a 2D singularly perturbed semilinear reaction-diffusion problem

Mathematics of Computation ◽

10.1090/s0025-5718-2011-02521-4 ◽

2012 ◽

Vol 81 (277) ◽

pp. 81-105 ◽

Cited By ~ 3

Author(s):

Natalia Kopteva ◽

Maria Pickett

Keyword(s):

Reaction Diffusion ◽

Diffusion Problem ◽

Second Order ◽

Singularly Perturbed ◽

Schwarz Method ◽

Overlapping Schwarz

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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 parameter-uniform Schwarz method for a singularly perturbed reaction–diffusion problem with an interior layer

Applied Numerical Mathematics ◽

10.1016/s0168-9274(99)00140-3 ◽

2000 ◽

Vol 35 (4) ◽

pp. 323-337 ◽

Cited By ~ 19

Author(s):

J.J.H. Miller ◽

E. O'Riordan ◽

G.I. Shishkin ◽

S. Wang

Keyword(s):

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Interior Layer ◽

Schwarz Method

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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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