Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection–diffusion problems

Kaushik Mukherjee; Srinivasan Natesan

doi:10.1007/s12190-018-1203-y

Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection–diffusion problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-018-1203-y ◽

2018 ◽

Vol 60 (1-2) ◽

pp. 51-86

Author(s):

Kaushik Mukherjee ◽

Srinivasan Natesan

Keyword(s):

Numerical Scheme ◽

Singularly Perturbed ◽

Fractional Step ◽

Convection Diffusion ◽

Diffusion Problems

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A high order robust numerical scheme for singularly perturbed delay parabolic convection diffusion problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01512-1 ◽

2021 ◽

Author(s):

Gajendra Babu ◽

Komal Bansal

Keyword(s):

Numerical Scheme ◽

High Order ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Diffusion Problems

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Alternating direction numerical scheme for singularly perturbed 2D degenerate parabolic convection-diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.06.010 ◽

2017 ◽

Vol 313 ◽

pp. 453-473

Author(s):

Anirban Majumdar ◽

Srinivasan Natesan

Keyword(s):

Numerical Scheme ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Alternating Direction ◽

Degenerate Parabolic ◽

Diffusion Problems

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Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection–diffusion problems on Shishkin mesh

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.12.013 ◽

2018 ◽

Vol 75 (7) ◽

pp. 2387-2403 ◽

Cited By ~ 3

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Higher Order ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Fractional Step ◽

Order Convergence ◽

Step Method ◽

Fractional Step Method ◽

Convection Diffusion ◽

Higher Order Convergence ◽

Diffusion Problems

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An efficient mixed asymptotic-numerical scheme for singularly perturbed convection diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.02.026 ◽

2012 ◽

Vol 218 (17) ◽

pp. 8645-8658 ◽

Cited By ~ 7

Author(s):

Aditya Kaushik ◽

Vijayant Kumar ◽

Anil K. Vashishth

Keyword(s):

Numerical Scheme ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Diffusion Problems

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Fractional Step Method for Singularly Perturbed 2D Delay Parabolic Convection Diffusion Problems on Shishkin Mesh

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-018-0499-5 ◽

2018 ◽

Vol 4 (2) ◽

Cited By ~ 1

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Shishkin Mesh ◽

Singularly Perturbed ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Convection Diffusion ◽

Diffusion Problems

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Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection–diffusion problems on Shishkin mesh

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.08.137 ◽

2015 ◽

Vol 271 ◽

pp. 168-186 ◽

Cited By ~ 12

Author(s):

Abhishek Das ◽

Srinivasan Natesan

Keyword(s):

Numerical Scheme ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Uniformly Convergent ◽

Diffusion Problems

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A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection–diffusion problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.08.020 ◽

2017 ◽

Vol 313 ◽

pp. 152-167 ◽

Cited By ~ 9

Author(s):

Li-Bin Liu ◽

Yanping Chen

Keyword(s):

Error Estimation ◽

Coupled System ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Strongly Coupled ◽

Convection Diffusion ◽

Diffusion Problems

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A Novel Adaptive Mesh Strategy for Singularly Perturbed Parabolic Convection Diffusion Problems

Differential Equations and Dynamical Systems ◽

10.1007/s12591-017-0394-2 ◽

2017 ◽

Vol 27 (1-3) ◽

pp. 203-220 ◽

Cited By ~ 1

Author(s):

Vivek Kumar ◽

Balaji Srinivasan

Keyword(s):

Adaptive Mesh ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Diffusion Problems

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The Error Function in the Study of Singularly Perturbed Convection-Diffusion Problems with Discontinuous Boundary Data

Progress in Industrial Mathematics at ECMI 2008 - Mathematics in Industry ◽

10.1007/978-3-642-12110-4_9 ◽

2010 ◽

pp. 105-110

Author(s):

J. J. López ◽

E. Pérez Sinusía ◽

N. M. Temme

Keyword(s):

Boundary Data ◽

Error Function ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Discontinuous Boundary ◽

Discontinuous Boundary Data ◽

Diffusion Problems

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$L^\infty$ estimation of the LDG method for 1-d singularly perturbed convection-diffusion problems

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2013.18.1493 ◽

2013 ◽

Vol 18 (5) ◽

pp. 1493-1505

Author(s):

Huiqing Zhu ◽

◽

Runchang Lin ◽

Keyword(s):

Singularly Perturbed ◽

Convection Diffusion ◽

Ldg Method ◽

Diffusion Problems

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