On $$\varepsilon $$-Uniform Higher Order Accuracy of New Efficient Numerical Method and Its Extrapolation for Singularly Perturbed Parabolic Problems with Boundary Layer

Narendra Singh Yadav; Kaushik Mukherjee

doi:10.1007/s40819-021-00979-7

On $$\varepsilon $$-Uniform Higher Order Accuracy of New Efficient Numerical Method and Its Extrapolation for Singularly Perturbed Parabolic Problems with Boundary Layer

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-00979-7 ◽

2021 ◽

Vol 7 (3) ◽

Author(s):

Narendra Singh Yadav ◽

Kaushik Mukherjee

Keyword(s):

Boundary Layer ◽

Numerical Method ◽

Higher Order ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Order Accuracy ◽

Singularly Perturbed Parabolic Problems

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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 ◽

Smooth Data

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Time-periodic boundary layer solutions to singularly perturbed parabolic problems

Journal of Differential Equations ◽

10.1016/j.jde.2016.12.020 ◽

2017 ◽

Vol 262 (9) ◽

pp. 4823-4862 ◽

Cited By ~ 7

Author(s):

O.E. Omel'chenko ◽

L. Recke ◽

V.F. Butuzov ◽

N.N. Nefedov

Keyword(s):

Boundary Layer ◽

Periodic Boundary ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Periodic Boundary Layer ◽

Time Periodic ◽

Singularly Perturbed Parabolic Problems

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Uniformly Convergent New Hybrid Numerical Method for Singularly Perturbed Parabolic Problems with Interior Layers

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-020-00804-7 ◽

2020 ◽

Vol 6 (2) ◽

Author(s):

Narendra Singh Yadav ◽

Kaushik Mukherjee

Keyword(s):

Numerical Method ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Hybrid Numerical Method ◽

Uniformly Convergent ◽

Interior Layers ◽

Singularly Perturbed Parabolic Problems

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An Efficient Numerical Method for Singularly Perturbed Parabolic Problems with Non-smooth Data

Communications in Computer and Information Science - Computational Sciences - Modelling, Computing and Soft Computing ◽

10.1007/978-981-16-4772-7_12 ◽

2021 ◽

pp. 159-171

Author(s):

Narendra Singh Yadav ◽

Kaushik Mukherjee

Keyword(s):

Numerical Method ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Singularly Perturbed Parabolic Problems ◽

Smooth Data

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Higher-order accurate schemes for a variable coefficient singularly perturbed reaction-diffusion problem of boundary layer type

Applied Mathematical Sciences ◽

10.12988/ams.2016.6140 ◽

2016 ◽

Vol 10 ◽

pp. 1181-1199

Author(s):

Brian J. McCartin

Keyword(s):

Boundary Layer ◽

Variable Coefficient ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Higher Order ◽

Singularly Perturbed

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Singularly Perturbed Parabolic Problems with Multidimensional Boundary Layers

Differential Equations ◽

10.1134/s0012266117120096 ◽

2017 ◽

Vol 53 (12) ◽

pp. 1616-1630

Author(s):

A. S. Omuraliev ◽

M. Imash kyzy

Keyword(s):

Boundary Layers ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Singularly Perturbed Parabolic Problems

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Fitted mesh method for singularly perturbed parabolic problems with an interior layer

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.10.029 ◽

2021 ◽

Author(s):

Tesfaye Aga Bullo ◽

Guy Aymard Degla ◽

Gemechis File Duressa

Keyword(s):

Singularly Perturbed ◽

Parabolic Problems ◽

Interior Layer ◽

Mesh Method ◽

Singularly Perturbed Parabolic Problems

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Parameter-uniform numerical methods for singularly perturbed parabolic problems with incompatible boundary-initial data

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.08.005 ◽

2019 ◽

Vol 146 ◽

pp. 436-451 ◽

Cited By ~ 4

Author(s):

J.L. Gracia ◽

E. O'Riordan

Keyword(s):

Numerical Methods ◽

Initial Data ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Singularly Perturbed Parabolic Problems

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A Higher Order Accurate Numerical Method for Singularly Perturbed Two Point Boundary Value Problems

Differential Equations and Dynamical Systems ◽

10.1007/s12591-016-0279-9 ◽

2016 ◽

Vol 25 (2) ◽

pp. 267-285 ◽

Cited By ~ 1

Author(s):

Aditya Kaushik ◽

Vijayant Kumar ◽

Anil K. Vashishth

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Higher Order ◽

Singularly Perturbed ◽

Point Boundary

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A uniform monotone alternating direction scheme for nonlinear singularly perturbed parabolic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.05.007 ◽

2014 ◽

Vol 272 ◽

pp. 148-161 ◽

Cited By ~ 2

Author(s):

Igor Boglaev

Keyword(s):

Singularly Perturbed ◽

Parabolic Problems ◽

Alternating Direction ◽

Singularly Perturbed Parabolic Problems

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