A new stable finite difference scheme and its error analysis for two‐dimensional singularly perturbed convection–diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22732 ◽

2020 ◽

Author(s):

Kamalesh Kumar ◽

Pramod Chakravarthy Podila

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Two Dimensional ◽

Convection Diffusion

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Analysis of an upwind finite-difference scheme for a system of coupled singularly perturbed convection-diffusion equations

Computing ◽

10.1007/s00607-006-0215-x ◽

2006 ◽

Vol 79 (1) ◽

pp. 23-32 ◽

Cited By ~ 27

Author(s):

T. Linß

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

Upwind Finite Difference

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A robust finite difference scheme for strongly coupled systems of singularly perturbed convection-diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22188 ◽

2017 ◽

Vol 34 (1) ◽

pp. 121-144 ◽

Cited By ~ 1

Author(s):

Po-Wen Hsieh ◽

Suh-Yuh Yang ◽

Cheng-Shu You

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Coupled Systems ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Strongly Coupled ◽

Convection Diffusion

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The Midpoint Upwind Finite Difference Scheme for Time-Dependent Singularly Perturbed Convection-Diffusion Equations on Non-Uniform Mesh

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2011.564264 ◽

2011 ◽

Vol 12 (3) ◽

pp. 150-159

Author(s):

Mohan K. Kadalbajoo ◽

Ashish Awasthi

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

Uniform Mesh ◽

Convection Diffusion ◽

Upwind Finite Difference

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Parameter-uniform finite difference scheme for a system of coupled singularly perturbed convection–diffusion equations

International Journal of Computer Mathematics ◽

10.1080/0020716042000301798 ◽

2005 ◽

Vol 82 (2) ◽

pp. 177-192 ◽

Cited By ~ 20

Author(s):

Zhongdi Cen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion

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Two-grid Algorithms for The Solution of 2D Semilinear Singularly-perturbed Convection-diffusion Equations Using an Exponential Finite Difference Scheme

10.1063/1.3265351 ◽

2009 ◽

Cited By ~ 5

Author(s):

L. Vulkov ◽

A. I. Zadorin ◽

Michail D. Todorov ◽

Christo I. Christov

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

Grid Algorithms

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A uniformly convergent finite difference scheme for Robin type singularly perturbed parabolic convection diffusion problem

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.03.003 ◽

2020 ◽

Vol 174 ◽

pp. 218-232

Author(s):

Nana Adjoah Mbroh ◽

Suares Clovis Oukouomi Noutchie ◽

Rodrigue Yves M’pika Massoukou

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Uniformly Convergent

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A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction–diffusion equations with discontinuous source terms

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1733538 ◽

2020 ◽

pp. 1-16

Author(s):

K. Aarthika ◽

V. Shanthi ◽

Higinio Ramos

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

Source Terms

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A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1597972 ◽

2019 ◽

Vol 97 (4) ◽

pp. 875-905 ◽

Cited By ~ 1

Author(s):

Maneesh Kumar Singh ◽

Srinivasan Natesan

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Convection Diffusion ◽

Perturbed System ◽

Diffusion Problems

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Stability and error analysis of an implicit Milstein finite difference scheme for a two-dimensional Zakai SPDE

BIT Numerical Mathematics ◽

10.1007/s10543-019-00761-8 ◽

2019 ◽

Vol 59 (4) ◽

pp. 987-1029

Author(s):

Christoph Reisinger ◽

Zhenru Wang

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Two Dimensional ◽

Stability And Error Analysis

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Stability of a standard finite difference scheme for a singularly perturbed convection-diffusion equation

Doklady Mathematics ◽

10.1134/s1064562413010390 ◽

2013 ◽

Vol 87 (1) ◽

pp. 107-109 ◽

Cited By ~ 7

Author(s):

G. I. Shishkin

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Convection Diffusion Equation

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