Uniformly convergent scheme for two‐parameter singularly perturbed problems with non‐smooth data

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22553 ◽

2020 ◽

Vol 37 (1) ◽

pp. 796-817

Author(s):

Devendra Kumar ◽

Parvin Kumari

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Uniformly Convergent ◽

Two Parameter ◽

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Uniformly Convergent Numerical Method for Singularly Perturbed Two Parameter Time Delay Parabolic Problem

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-019-0672-5 ◽

2019 ◽

Vol 5 (3) ◽

Author(s):

L. Govindarao ◽

J. Mohapatra ◽

S. R. Sahu

Keyword(s):

Numerical Method ◽

Parabolic Problem ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

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Uniformly convergent higher-order finite difference scheme for singularly perturbed parabolic problems with non-smooth data

Journal of Applied Mathematics and Computational Mechanics ◽

10.17512/jamcm.2021.1.01 ◽

2021 ◽

Vol 20 (1) ◽

pp. 5-16

Author(s):

Tesfaye Aga Bullo ◽

Guy Aymard Degla ◽

Gemechis File Duressa

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Higher Order ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Uniformly Convergent ◽

Singularly Perturbed Parabolic Problems ◽

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Uniformly higher order accurate extrapolations to solutions of uniformly convergent discretization methods for singularly perturbed problems

Applied Mathematics and Mechanics ◽

10.1007/bf02015208 ◽

1990 ◽

Vol 11 (3) ◽

pp. 271-276 ◽

Author(s):

Sun Guang-fu

Keyword(s):

Higher Order ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Discretization Methods ◽

Uniformly Convergent

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Numerical treatment of two-parameter singularly perturbed parabolic convection diffusion problems with non-smooth data

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5067 ◽

2018 ◽

Vol 41 (14) ◽

pp. 5359-5387 ◽

Author(s):

M. Chandru ◽

P. Das ◽

H. Ramos

Keyword(s):

Singularly Perturbed ◽

Numerical Treatment ◽

Convection Diffusion ◽

Two Parameter ◽

Smooth Data ◽

Diffusion Problems

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Uniformly convergent methods for singularly perturbed problems

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.199807815119 ◽

1998 ◽

Vol 78 (S3) ◽

pp. 1105-1106

Author(s):

Zor. Uzelac ◽

Kat. Surla

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Uniformly Convergent

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Uniformly convergent finite difference methods for singularly perturbed problems with turning points

Numerical Algorithms ◽

10.1007/bf02145752 ◽

1993 ◽

Vol 4 (3) ◽

pp. 339-359 ◽

Author(s):

Carmelo Clavero ◽

Francisco Lisbona

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Turning Points ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Uniformly Convergent ◽

Difference Methods

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A uniformly convergent continuous–discontinuous Galerkin method for singularly perturbed problems of convection–diffusion type

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.11.033 ◽

2011 ◽

Vol 217 (9) ◽

pp. 4781-4790 ◽

Author(s):

Peng Zhu ◽

Ziqing Xie ◽

Shuzi Zhou

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Diffusion Type ◽

Convection Diffusion ◽

Uniformly Convergent

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Higher order uniformly convergent continuous/discontinuous Galerkin methods for singularly perturbed problems of convection-diffusion type

Applied Numerical Mathematics ◽

10.1016/j.apnum.2013.10.001 ◽

2014 ◽

Vol 76 ◽

pp. 48-59 ◽

Author(s):

Peng Zhu ◽

Shenglan Xie

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Singularly Perturbed ◽

Galerkin Methods ◽

Singularly Perturbed Problems ◽

Diffusion Type ◽

Convection Diffusion ◽

Uniformly Convergent

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Higher order uniformly convergent NIPG methods for 1-d singularly perturbed problems of convection–diffusion type

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.02.021 ◽

2015 ◽

Vol 39 (22) ◽

pp. 6806-6816 ◽

Author(s):

Peng Zhu ◽

Yubo Yang ◽

Yunhui Yin

Keyword(s):

Higher Order ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Diffusion Type ◽

Convection Diffusion ◽

Uniformly Convergent

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A finite element method for two–parameter singularly perturbed problems in 2D

PAMM ◽

10.1002/pamm.200610366 ◽

2006 ◽

Vol 6 (1) ◽

pp. 771-772 ◽

Author(s):

Ljiljana Teofanov ◽

Hans-Görg Roos ◽

Helena Zarin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Two Parameter ◽

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