Singularly Perturbed Parabolic Problems

Boundary Layer Flows - Theory, Applications and Numerical Methods ◽

10.5772/intechopen.84339 ◽

2020 ◽

Author(s):

Asan Omuraliev ◽

Ella Abylaeva

Keyword(s):

Singularly Perturbed ◽

Parabolic Problems ◽

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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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 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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A piecewise-analytical method for singularly perturbed parabolic problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2003.12.045 ◽

2005 ◽

Vol 161 (2) ◽

pp. 501-512 ◽

Cited By ~ 10

Author(s):

J.I. Ramos

Keyword(s):

Analytical Method ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Singularly Perturbed Parabolic Problems

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ε-Uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with nterior layers

Numerical Algorithms ◽

10.1007/s11075-011-9449-6 ◽

2011 ◽

Vol 58 (1) ◽

pp. 103-141 ◽

Cited By ~ 14

Author(s):

Kaushik Mukherjee ◽

Srinivasan Natesan

Keyword(s):

Error Estimate ◽

Numerical Scheme ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Uniform Error ◽

Singularly Perturbed Parabolic Problems

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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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Dynamic boundary conditions as limit of singularly perturbed parabolic problems

Conference Publications 2011 ◽

10.3934/proc.2011.2011.737 ◽

2011 ◽

Keyword(s):

Boundary Conditions ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Dynamic Boundary Conditions ◽

Dynamic Boundary ◽

Singularly Perturbed Parabolic Problems

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Numerical Methods for Singularly Perturbed Parabolic Problems with Incompatible Boundary-Initial Data in Two Space Dimensions

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018 ◽

10.1007/978-3-030-41800-7_11 ◽

2020 ◽

pp. 171-182

Author(s):

José Luis Gracia ◽

Eugene O’Riordan

Keyword(s):

Numerical Methods ◽

Initial Data ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Two Space Dimensions ◽

Singularly Perturbed Parabolic Problems

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