Kumar, Kamalesh; Chakravarthy, P. Pramod; Ramos, Higinio; Vigo-Aguiar, Jesús A stable finite difference scheme and error estimates for parabolic singularly perturbed PDEs with shift parameters. (English) Zbl 1481.65137 J. Comput. Appl. Math. 405, Article ID 113050, 15 p. (2022). MSC: 65M06 35K20 65L11 65M12 65M15 65B05 35B25 PDFBibTeX XMLCite \textit{K. Kumar} et al., J. Comput. Appl. Math. 405, Article ID 113050, 15 p. (2022; Zbl 1481.65137) Full Text: DOI
Pramod Chakravarthy, Podila; Kumar, Kamalesh A new stable finite difference scheme and its convergence for time-delayed singularly perturbed parabolic PDEs. (English) Zbl 1449.65198 Comput. Appl. Math. 39, No. 3, Paper No. 140, 16 p. (2020). MSC: 65M06 65L11 35R07 35B25 35K10 35B35 PDFBibTeX XMLCite \textit{P. Pramod Chakravarthy} and \textit{K. Kumar}, Comput. Appl. Math. 39, No. 3, Paper No. 140, 16 p. (2020; Zbl 1449.65198) Full Text: DOI
Kumar, Kamalesh; Gupta, Trun; Chakravarthy, P. Pramod; Rao, R. Nageshwar An adaptive mesh selection strategy for solving singularly perturbed parabolic partial differential equations with a small delay. (English) Zbl 1465.65074 Kumar, B. Rushi (ed.) et al., Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1–3, 2017. Volume II. Selected papers. Cham: Birkhäuser. Trends Math., 67-76 (2019). MSC: 65M06 65N06 65M50 35B25 35K20 35R07 PDFBibTeX XMLCite \textit{K. Kumar} et al., in: Applied mathematics and scientific computing. International conference on advances in mathematical sciences, ICAMS, Vellore, India, December 1--3, 2017. Volume II. Selected papers. Cham: Birkhäuser. 67--76 (2019; Zbl 1465.65074) Full Text: DOI