Numerical study of time delay singularly perturbed parabolic differential equations involving both small positive and negative space shifts
Author:
Affiliation:
1. Faculty of Science and Technology , The ICFAI University Tripura , Kamalghat, West Tripura , Tripura 799210 , India
2. Department of Mathematics , National Institute of Technology Rourkela , Rourkela , 769008 , India
Abstract
Publisher
Walter de Gruyter GmbH
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics
Link
https://www.degruyter.com/document/doi/10.1515/jaa-2021-2064/pdf
Reference24 articles.
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2. K. Bansal, P. Rai and K. K. Sharma, Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments, Differ. Equ. Dyn. Syst. 25 (2017), no. 2, 327–346.
3. K. Bansal and K. K. Sharma, Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments, Numer. Algorithms 75 (2017), no. 1, 113–145.
4. W. Cheng, R. Temam and X. Wang, New approximation algorithms for a class of partial differential equations displaying boundary layer behavior, Methods Appl. Anal. 7 (2000), no. 2, 363–390.
5. C. Clavero, J. L. Gracia and J. C. Jorge, High-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers, Numer. Methods Partial Differential Equations 21 (2005), no. 1, 148–169.
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