Numerical analysis for a class of coupled system of singularly perturbed time‐dependent convection‐diffusion equations with a discontinuous source term-Reference-Cited by-同舟云学术

Numerical analysis for a class of coupled system of singularly perturbed time‐dependent convection‐diffusion equations with a discontinuous source term

Published:2021-10-23 Issue: Volume: Page:
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Rao S. Chandra Sekhara¹^ORCID,Chawla Sheetal¹,Chaturvedi Abhay Kumar¹

Affiliation:

1. Department of Mathematics Indian Institute of Technology Delhi Hauz Khas New Delhi India

Funder

University Grants Commission of Bangladesh

Indian Institute of Technology Delhi

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22845

Reference29 articles.

1. Parameter‐uniform finite difference scheme for a system of coupled singularly perturbed convection‐diffusion equations;Cen Z.;Int. J. Comput. Math.,2005

2. High‐order numerical methods for one‐dimensional parabolic singularly perturbed problems with regular layers;Clavero C.;Numer. Methods Part. Differ. Equ.,2005

3. High order methods on Shishkin meshes for singular perturbation problems of convection‐diffusion type;Clavero C.;Numer. Algorithms,1999

4. A simpler analysis of a hybrid numerical method for time-dependent convection–diffusion problems

5. R. K.DunneandE.O'Riordan Interior layers arising in linear singularly perturbed differential equations with discontinuous coefficients. Proceedings of the 4th International Conference on Finite Difference Methods: Theory and Applications Lozenetz Bulgaria 2006 pp. 29–38.

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