An approximation technique for solutions of singularly perturbed one‐dimensional convection‐diffusion problem

Şuayip Yüzbaşı; Murat Karaçayır

doi:10.1002/jnm.2686

An approximation technique for solutions of singularly perturbed one‐dimensional convection‐diffusion problem

International Journal of Numerical Modelling Electronic Networks Devices and Fields ◽

10.1002/jnm.2686 ◽

2019 ◽

Vol 33 (1) ◽

Author(s):

Şuayip Yüzbaşı ◽

Murat Karaçayır

Keyword(s):

Diffusion Problem ◽

Singularly Perturbed ◽

Approximation Technique ◽

One Dimensional ◽

Convection Diffusion

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A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection–diffusion problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.08.016 ◽

2008 ◽

Vol 220 (1-2) ◽

pp. 271-289 ◽

Cited By ~ 27

Author(s):

Mohan K. Kadalbajoo ◽

Vikas Gupta ◽

Ashish Awasthi

Keyword(s):

Collocation Method ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Time Dependent ◽

Spline Collocation ◽

Nonuniform Mesh ◽

B Spline ◽

One Dimensional ◽

Convection Diffusion ◽

Uniformly Convergent

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Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition

Numerical Algorithms ◽

10.1007/s11075-021-01098-6 ◽

2021 ◽

Author(s):

J. L. Gracia ◽

E. O’Riordan

Keyword(s):

Diffusion Problem ◽

Singularly Perturbed ◽

Initial Condition ◽

Numerical Approximations ◽

Convection Diffusion

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Analytic Approximations for a Singularly Perturbed Convection–Diffusion Problem with Discontinuous Data in a Half-Infinite Strip

Acta Applicandae Mathematicae ◽

10.1023/b:acap.0000026696.46018.d6 ◽

2004 ◽

Vol 82 (1) ◽

pp. 101-117 ◽

Cited By ~ 3

Author(s):

José L. López ◽

Ester Pérez Sinusía

Keyword(s):

Diffusion Problem ◽

Singularly Perturbed ◽

Infinite Strip ◽

Convection Diffusion ◽

Analytic Approximations ◽

Discontinuous Data

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Parameter‐uniform numerical method for singularly perturbed 2‐D parabolic convection–diffusion problem with interior layers

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7975 ◽

2021 ◽

Author(s):

Anirban Majumdar ◽

Srinivasan Natesan

Keyword(s):

Numerical Method ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Interior Layers

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A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem

SIAM Journal on Numerical Analysis ◽

10.1137/s003614290138471x ◽

2001 ◽

Vol 39 (4) ◽

pp. 1446-1467 ◽

Cited By ~ 62

Author(s):

Natalia Kopteva ◽

Martin Stynes

Keyword(s):

Adaptive Method ◽

Diffusion Problem ◽

One Dimensional ◽

Convection Diffusion ◽

Robust Adaptive

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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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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 linearised singularly perturbed convection–diffusion problem with an interior layer

Applied Numerical Mathematics ◽

10.1016/j.apnum.2015.08.002 ◽

2015 ◽

Vol 98 ◽

pp. 1-17 ◽

Cited By ~ 5

Author(s):

E. O'Riordan ◽

J. Quinn

Keyword(s):

Diffusion Problem ◽

Singularly Perturbed ◽

Interior Layer ◽

Convection Diffusion

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Anϵ-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection–diffusion problem

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1485896 ◽

2018 ◽

Vol 96 (7) ◽

pp. 1313-1334 ◽

Cited By ~ 2

Author(s):

Anirban Majumdar ◽

Srinivasan Natesan

Keyword(s):

Numerical Scheme ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Degenerate Parabolic

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Numerical Analysis of Singularly Perturbed System of Parabolic Convection–Diffusion Problem with Regular Boundary Layers

Differential Equations and Dynamical Systems ◽

10.1007/s12591-019-00462-2 ◽

2019 ◽

Cited By ~ 1

Author(s):

Maneesh Kumar Singh ◽

Srinivasan Natesan

Keyword(s):

Numerical Analysis ◽

Boundary Layers ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Regular Boundary ◽

Singularly Perturbed System ◽

Convection Diffusion ◽

Perturbed System

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