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

Narendra Singh Yadav; Kaushik Mukherjee

doi:10.1007/s40819-020-00804-7

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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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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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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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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A UNIFORMLY CONVERGENT NUMERICAL METHOD FOR A WEAKLY COUPLED SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS WITH BOUNDARY AND WEAK INTERIOR LAYERS

Journal of applied mathematics & informatics ◽

10.14317/jami.2015.635 ◽

2015 ◽

Vol 33 (5_6) ◽

pp. 635-648 ◽

Cited By ~ 2

Author(s):

SHEETAL CHAWLA ◽

S. CHANDRA SEKHARA RAO

Keyword(s):

Numerical Method ◽

Coupled System ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Weakly Coupled ◽

Weakly Coupled System ◽

Uniformly Convergent ◽

Interior Layers ◽

Diffusion Problems

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Uniformly convergent numerical method for a singularly perturbed differential difference equation with mixed type

Bulletin of the Belgian Mathematical Society - Simon Stevin ◽

10.36045/j.bbms.200128 ◽

2020 ◽

Vol 27 (5) ◽

pp. 755-774

Author(s):

Erkan Cimen

Keyword(s):

Difference Equation ◽

Numerical Method ◽

Mixed Type ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

Differential Difference Equation

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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):

Time Delay ◽

Numerical Method ◽

Parabolic Problem ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

Two Parameter

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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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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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A uniformly convergent quadratic B-spline based scheme for singularly perturbed degenerate parabolic problems

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.12.026 ◽

2022 ◽

Author(s):

Satpal Singh ◽

Devendra Kumar ◽

Higinio Ramos

Keyword(s):

Singularly Perturbed ◽

Parabolic Problems ◽

B Spline ◽

Uniformly Convergent ◽

Degenerate Parabolic ◽

Degenerate Parabolic Problems

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An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01633-7 ◽

2021 ◽

Author(s):

S. Priyadarshana ◽

J. Mohapatra ◽

L. Govindrao

Keyword(s):

Numerical Scheme ◽

Singularly Perturbed ◽

Parabolic Problems ◽

Large Delay ◽

Uniformly Convergent ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problems

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