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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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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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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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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Singularly perturbed parabolic problems with non-smooth data

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2003.09.025 ◽

2004 ◽

Vol 166 (1) ◽

pp. 233-245 ◽

Cited By ~ 22

Author(s):

E. O'Riordan ◽

G.I. Shishkin

Keyword(s):

Singularly Perturbed ◽

Parabolic Problems ◽

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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