Higher order numerical approximation for time dependent singularly perturbed differential-difference convection-diffusion equations

Vikas Gupta; Mukesh Kumar; Sunil Kumar

doi:10.1002/num.22203

Higher order numerical approximation for time dependent singularly perturbed differential-difference convection-diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22203 ◽

2017 ◽

Vol 34 (1) ◽

pp. 357-380 ◽

Cited By ~ 4

Author(s):

Vikas Gupta ◽

Mukesh Kumar ◽

Sunil Kumar

Keyword(s):

Numerical Approximation ◽

Higher Order ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

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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Numerical approximation of 2D time dependent singularly perturbed convection–diffusion problems with attractive or repulsive turning points

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.08.059 ◽

2018 ◽

Vol 317 ◽

pp. 223-233 ◽

Cited By ~ 1

Author(s):

C. Clavero ◽

J. Vigo-Aguiar

Keyword(s):

Numerical Approximation ◽

Turning Points ◽

Singularly Perturbed ◽

Time Dependent ◽

Convection Diffusion ◽

Diffusion Problems

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Parameter-Robust Numerical Method for Time-Dependent Weakly Coupled Linear System of Singularly Perturbed Convection-Diffusion Equations

Differential Equations and Dynamical Systems ◽

10.1007/s12591-016-0282-1 ◽

2016 ◽

Vol 25 (2) ◽

pp. 301-325 ◽

Cited By ~ 3

Author(s):

S. Chandra Sekhara Rao ◽

Varsha Srivastava

Keyword(s):

Linear System ◽

Numerical Method ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

Convection Diffusion ◽

Weakly Coupled

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Crank–Nicolson finite difference method based on a midpoint upwind scheme on a non-uniform mesh for time-dependent singularly perturbed convection–diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160701459672 ◽

2008 ◽

Vol 85 (5) ◽

pp. 771-790 ◽

Cited By ~ 1

Author(s):

M. K. Kadalbajoo ◽

Ashish Awasthi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Singularly Perturbed ◽

Upwind Scheme ◽

Time Dependent ◽

Diffusion Equations ◽

Uniform Mesh ◽

Convection Diffusion ◽

Crank Nicolson

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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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Numerical approximation of convection–diffusion equations in a channel using boundary layer elements

Applied Numerical Mathematics ◽

10.1016/j.apnum.2005.06.005 ◽

2006 ◽

Vol 56 (6) ◽

pp. 756-777 ◽

Cited By ~ 4

Author(s):

Chang-Yeol Jung

Keyword(s):

Boundary Layer ◽

Numerical Approximation ◽

Diffusion Equations ◽

Convection Diffusion

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A higher-order hybrid numerical scheme for singularly perturbed convection-diffusion problem with boundary and weak interior layers

International Journal of Mathematical Modelling and Numerical Optimisation ◽

10.1504/ijmmno.2020.104325 ◽

2020 ◽

Vol 10 (1) ◽

pp. 68

Author(s):

Anirban Majumdar ◽

Srinivasan Natesan

Keyword(s):

Numerical Scheme ◽

Diffusion Problem ◽

Higher Order ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Interior Layers

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An Asymptotic-Numerical Method for a Class of Weakly Coupled System of Singularly Perturbed Convection-Diffusion Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2019.1615946 ◽

2019 ◽

Vol 40 (13) ◽

pp. 1550-1571

Author(s):

Aditya Kaushik ◽

Anil K. Vashishth ◽

Vijayant Kumar ◽

Manju Sharma

Keyword(s):

Numerical Method ◽

Coupled System ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Convection Diffusion ◽

Asymptotic Numerical Method ◽

Weakly Coupled ◽

Weakly Coupled System

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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 New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-012-9637-0 ◽

2012 ◽

Vol 54 (2-3) ◽

pp. 663-683 ◽

Cited By ~ 6

Author(s):

Jue Yan

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Dependent ◽

Diffusion Equations ◽

Convection Diffusion

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