Almost second-order uniformly convergent numerical method for singularly perturbed convection–diffusion–reaction equations with delay

Applicable Analysis ◽

10.1080/00036811.2021.1961756 ◽

2021 ◽

pp. 1-21

Author(s):

Mesfin Mekuria Woldaregay ◽

Gemechis File Duressa

Keyword(s):

Numerical Method ◽

Second Order ◽

Singularly Perturbed ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Uniformly Convergent ◽

Reaction Equations ◽

Equations With Delay

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Uniformly convergent numerical method for singularly perturbed 2D delay parabolic convection-diffusion problems on Bakhvalov-Shishkin mesh

International Journal of Mathematical Modelling and Numerical Optimisation ◽

10.1504/ijmmno.2018.10015799 ◽

2018 ◽

Vol 8 (4) ◽

pp. 305

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Numerical Method ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Uniformly Convergent ◽

Diffusion Problems

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A Second Order Characteristic Mixed Finite Element Method for Convection Diffusion Reaction Equations

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2017.56109 ◽

2017 ◽

Vol 05 (06) ◽

pp. 1301-1319

Author(s):

Tongjun Sun

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Second Order ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Reaction Equations ◽

Element Method

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A parameter-uniform second order numerical method for a weakly coupled system of singularly perturbed convection–diffusion equations with discontinuous convection coefficients and source terms

CALCOLO ◽

10.1007/s10092-017-0218-3 ◽

2017 ◽

Vol 54 (3) ◽

pp. 1027-1053 ◽

Cited By ~ 1

Author(s):

Mahabub Basha Pathan ◽

Shanthi Vembu

Keyword(s):

Numerical Method ◽

Coupled System ◽

Second Order ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Source Terms ◽

Convection Diffusion ◽

Weakly Coupled ◽

Weakly Coupled System

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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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Uniformly convergent numerical method for singularly perturbed convection‐diffusion type problems with nonlocal boundary condition

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4854 ◽

2020 ◽

Vol 92 (12) ◽

pp. 1914-1926

Author(s):

Habtamu Garoma Debela ◽

Gemechis File Duressa

Keyword(s):

Boundary Condition ◽

Numerical Method ◽

Nonlocal Boundary Condition ◽

Nonlocal Boundary ◽

Singularly Perturbed ◽

Diffusion Type ◽

Convection Diffusion ◽

Uniformly Convergent

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Uniformly convergent numerical method for singularly perturbed 2D delay parabolic convection-diffusion problems on Bakhvalov-Shishkin mesh

International Journal of Mathematical Modelling and Numerical Optimisation ◽

10.1504/ijmmno.2018.094545 ◽

2018 ◽

Vol 8 (4) ◽

pp. 305

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Numerical Method ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Uniformly Convergent ◽

Diffusion Problems

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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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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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Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1290439 ◽

2017 ◽

Vol 95 (3) ◽

pp. 490-510 ◽

Cited By ~ 11

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Second Order ◽

Singularly Perturbed ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Uniformly Convergent

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A UNIFORMLY CONVERGENT NUMERICAL METHOD FOR A WEAKLY COUPLED SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS WITH BOUNDARY AND WEAK INTERIOR LAYERS

Journal of applied mathematics & informatics ◽

10.14317/jami.2015.635 ◽

2015 ◽

Vol 33 (5_6) ◽

pp. 635-648 ◽

Cited By ~ 2

Author(s):

SHEETAL CHAWLA ◽

S. CHANDRA SEKHARA RAO

Keyword(s):

Numerical Method ◽

Coupled System ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Uniformly Convergent ◽

Interior Layers ◽

Diffusion Problems

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