Parameter-uniform numerical method for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.03.016 ◽

2021 ◽

Author(s):

S. Chandra Sekhara Rao ◽

Abhay Kumar Chaturvedi

Keyword(s):

Numerical Method ◽

Boundary Layers ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Two Dimensional

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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 parameter robust numerical method for a two dimensional reaction-diffusion problem

Mathematics of Computation ◽

10.1090/s0025-5718-05-01762-x ◽

2005 ◽

Vol 74 (252) ◽

pp. 1743-1759 ◽

Cited By ~ 41

Author(s):

C. Clavero ◽

J. L. Gracia ◽

E. O'Riordan

Keyword(s):

Numerical Method ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Two Dimensional

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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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The Existence and Stability of Periodic Solutions with a Boundary Layer in a Two-Dimensional Reaction-Diffusion Problem in the Case of Singularly Perturbed Boundary Conditions of the Second Kind

Moscow University Physics Bulletin ◽

10.3103/s0027134920020083 ◽

2020 ◽

Vol 75 (2) ◽

pp. 116-122 ◽

Cited By ~ 1

Author(s):

N. N. Nefedov ◽

E. I. Nikulin

Keyword(s):

Boundary Layer ◽

Boundary Conditions ◽

Periodic Solutions ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Two Dimensional ◽

Existence And Stability

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A multiscale sparse grid finite element method for a two-dimensional singularly perturbed reaction-diffusion problem

Advances in Computational Mathematics ◽

10.1007/s10444-014-9395-7 ◽

2014 ◽

Vol 41 (6) ◽

pp. 987-1014 ◽

Cited By ~ 6

Author(s):

Niall Madden ◽

Stephen Russell

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Sparse Grid ◽

Singularly Perturbed ◽

Two Dimensional ◽

Element Method

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Numerical solution of a two-dimensional singularly perturbed reaction-diffusion problem with discontinuous coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.04.027 ◽

2006 ◽

Vol 182 (1) ◽

pp. 631-643 ◽

Cited By ~ 2

Author(s):

Iliya A. Brayanov

Keyword(s):

Numerical Solution ◽

Reaction Diffusion ◽

Discontinuous Coefficients ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Two Dimensional

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On a Reliable Numerical Method for a Singularly Perturbed Parabolic Reaction-Diffusion Problem in a Doubly Connected Domain

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

10.1007/978-3-030-11539-5_65 ◽

2019 ◽

pp. 558-565

Author(s):

Irina Tselishcheva ◽

Grigorii Shishkin

Keyword(s):

Numerical Method ◽

Connected Domain ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Doubly Connected Domain

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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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A direct numerical method for approximate solution of inverse reaction diffusion equation via two-dimensional Legendre hybrid functions

Numerical Algorithms ◽

10.1007/s11075-019-00691-0 ◽

2019 ◽

Vol 83 (2) ◽

pp. 511-528

Author(s):

I. Gholampoor ◽

M. Tavassoli Kajani

Keyword(s):

Approximate Solution ◽

Diffusion Equation ◽

Numerical Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Two Dimensional ◽

Hybrid Functions ◽

Direct Numerical Method

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Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drl020 ◽

2006 ◽

Vol 27 (3) ◽

pp. 576-592 ◽

Cited By ~ 16

Author(s):

N. Kopteva

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Maximum Norm ◽

A Posteriori ◽

A Posteriori Error

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