Priyadarshana, S.; Mohapatra, J.; Ramos, H. Robust numerical schemes for time delayed singularly perturbed parabolic problems with discontinuous convection and source terms. (English) Zbl 07783085 Calcolo 61, No. 1, Paper No. 1, 33 p. (2024). MSC: 65M06 65N06 65N50 65M12 65M15 35K20 35K58 35B25 35R07 PDFBibTeX XMLCite \textit{S. Priyadarshana} et al., Calcolo 61, No. 1, Paper No. 1, 33 p. (2024; Zbl 07783085) Full Text: DOI OA License
Wondimu, Getu Mekonnen; Dinka, Tekle Gemechu; Woldaregay, Mesfin; Duressa, Gemechis File Fitted mesh numerical scheme for singularly perturbed delay reaction diffusion problem with integral boundary condition. (English) Zbl 07810159 Comput. Methods Differ. Equ. 11, No. 3, 478-494 (2023). MSC: 65M06 35K57 65M12 PDFBibTeX XMLCite \textit{G. M. Wondimu} et al., Comput. Methods Differ. Equ. 11, No. 3, 478--494 (2023; Zbl 07810159) Full Text: DOI
Duressa, Gemechis File; Gelu, Fasika Wondimu; Kebede, Guta Demisu A robust higher-order fitted mesh numerical method for solving singularly perturbed parabolic reaction-diffusion problems. (English) Zbl 07786760 Results Appl. Math. 20, Article ID 100405, 20 p. (2023). MSC: 65M06 65N06 65D07 65M12 65M22 35B25 65N50 PDFBibTeX XMLCite \textit{G. F. Duressa} et al., Results Appl. Math. 20, Article ID 100405, 20 p. (2023; Zbl 07786760) Full Text: DOI
Sahoo, Sanjay Ku; Gupta, Vikas Parameter robust higher-order finite difference method for convection-diffusion problem with time delay. (English) Zbl 07769112 Numer. Methods Partial Differ. Equations 39, No. 6, 4145-4173 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. K. Sahoo} and \textit{V. Gupta}, Numer. Methods Partial Differ. Equations 39, No. 6, 4145--4173 (2023; Zbl 07769112) Full Text: DOI
Gunes, B.; Duru, Hakki Correction to: “A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh”. (English) Zbl 1523.65071 J. Difference Equ. Appl. 29, No. 8, 857-859 (2023). MSC: 65M06 65N06 65M12 65M15 35B25 35B40 PDFBibTeX XMLCite \textit{B. Gunes} and \textit{H. Duru}, J. Difference Equ. Appl. 29, No. 8, 857--859 (2023; Zbl 1523.65071) Full Text: DOI
Priyadarshana, S.; Mohapatra, J.; Pattanaik, S. R. An improved time accurate numerical estimation for singularly perturbed semilinear parabolic differential equations with small space shifts and a large time lag. (English) Zbl 07736767 Math. Comput. Simul. 214, 183-203 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{S. Priyadarshana} et al., Math. Comput. Simul. 214, 183--203 (2023; Zbl 07736767) Full Text: DOI
Priyadarshana, S.; Mohapatra, J. Weighted variable based numerical scheme for time-lagged semilinear parabolic problems including small parameter. (English) Zbl 07734336 J. Appl. Math. Comput. 69, No. 3, 2439-2463 (2023). MSC: 65-XX 35K58 65M06 65M12 PDFBibTeX XMLCite \textit{S. Priyadarshana} and \textit{J. Mohapatra}, J. Appl. Math. Comput. 69, No. 3, 2439--2463 (2023; Zbl 07734336) Full Text: DOI
Priyadarshana, S.; Mohapatra, J.; Pattanaik, S. R. A second order fractional step hybrid numerical algorithm for time delayed singularly perturbed 2D convection-diffusion problems. (English) Zbl 07705793 Appl. Numer. Math. 189, 107-129 (2023). MSC: 65Mxx 35Bxx 65Lxx PDFBibTeX XMLCite \textit{S. Priyadarshana} et al., Appl. Numer. Math. 189, 107--129 (2023; Zbl 07705793) Full Text: DOI
Raji, Reddy Narahari; Mohapatra, Jugal A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems involving mixed space shifts. (English) Zbl 1524.65388 Comput. Methods Differ. Equ. 11, No. 1, 42-51 (2023). MSC: 65M06 65M12 65M50 35R06 35B25 35K10 65N06 PDFBibTeX XMLCite \textit{R. N. Raji} and \textit{J. Mohapatra}, Comput. Methods Differ. Equ. 11, No. 1, 42--51 (2023; Zbl 1524.65388) Full Text: DOI
Negero, Naol Tufa A uniformly convergent numerical scheme for two parameters singularly perturbed parabolic convection-diffusion problems with a large temporal lag. (English) Zbl 1503.65180 Results Appl. Math. 16, Article ID 100338, 15 p. (2022). MSC: 65M06 65N06 65D07 65M12 35B25 35K57 76R50 35R07 PDFBibTeX XMLCite \textit{N. T. Negero}, Results Appl. Math. 16, Article ID 100338, 15 p. (2022; Zbl 1503.65180) Full Text: DOI
Mohapatra, J.; Govindarao, L. A fourth-order optimal numerical approximation and its convergence for singularly perturbed time delayed parabolic problems. (English) Zbl 1499.65418 Iran. J. Numer. Anal. Optim. 12, No. 2, 250-276 (2022). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{J. Mohapatra} and \textit{L. Govindarao}, Iran. J. Numer. Anal. Optim. 12, No. 2, 250--276 (2022; Zbl 1499.65418) Full Text: DOI
Priyadarshana, S.; Mohapatra, J.; Govindrao, L. An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time. (English) Zbl 1496.65126 J. Appl. Math. Comput. 68, No. 4, 2617-2639 (2022). MSC: 65M06 65M12 35K58 PDFBibTeX XMLCite \textit{S. Priyadarshana} et al., J. Appl. Math. Comput. 68, No. 4, 2617--2639 (2022; Zbl 1496.65126) Full Text: DOI
Tiruneh, Awoke Andargie; Derese, Getachew Adamu; Tefera, Dagnachew Mengstie A nonstandard fitted operator method for singularly perturbed parabolic reaction-diffusion problems with a large time delay. (English) Zbl 1497.65137 Int. J. Math. Math. Sci. 2022, Article ID 5625049, 11 p. (2022). MSC: 65M06 65M12 35K20 65M50 PDFBibTeX XMLCite \textit{A. A. Tiruneh} et al., Int. J. Math. Math. Sci. 2022, Article ID 5625049, 11 p. (2022; Zbl 1497.65137) Full Text: DOI
Babu, Gajendra; Prithvi, M.; Sharma, Kapil K.; Ramesh, V. P. A robust numerical algorithm on harmonic mesh for parabolic singularly perturbed convection-diffusion problems with time delay. (English) Zbl 1497.65116 Numer. Algorithms 91, No. 2, 615-634 (2022). MSC: 65M06 65N06 65M12 65M15 35K57 35B25 35B45 35R07 PDFBibTeX XMLCite \textit{G. Babu} et al., Numer. Algorithms 91, No. 2, 615--634 (2022; Zbl 1497.65116) Full Text: DOI
Priyadarshana, S.; Mohapatra, J.; Pattanaik, S. R. Parameter uniform optimal order numerical approximations for time-delayed parabolic convection diffusion problems involving two small parameters. (English) Zbl 1513.65301 Comput. Appl. Math. 41, No. 6, Paper No. 233, 32 p. (2022). MSC: 65M06 65N06 65N50 65B05 65M12 35R07 35B25 76R50 PDFBibTeX XMLCite \textit{S. Priyadarshana} et al., Comput. Appl. Math. 41, No. 6, Paper No. 233, 32 p. (2022; Zbl 1513.65301) Full Text: DOI
Izadi, Mohammad; Yüzbaşı, Şuayip A hybrid approximation scheme for 1-D singularly perturbed parabolic convection-diffusion problems. (English) Zbl 1490.65222 Math. Commun. 27, No. 1, 47-62 (2022). MSC: 65M70 65M12 65M06 PDFBibTeX XMLCite \textit{M. Izadi} and \textit{Ş. Yüzbaşı}, Math. Commun. 27, No. 1, 47--62 (2022; Zbl 1490.65222) Full Text: Link
Gunes, B.; Duru, Hakki A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh. (English) Zbl 1486.65103 J. Difference Equ. Appl. 28, No. 3, 385-405 (2022); correction ibid. 29, No. 8, 857-859 (2023). MSC: 65M06 65N06 65M12 65M15 35B25 35B40 PDFBibTeX XMLCite \textit{B. Gunes} and \textit{H. Duru}, J. Difference Equ. Appl. 28, No. 3, 385--405 (2022; Zbl 1486.65103) Full Text: DOI
Gelu, Fasika Wondimu; Duressa, Gemechis File A uniformly convergent collocation method for singularly perturbed delay parabolic reaction-diffusion problem. (English) Zbl 1482.65193 Abstr. Appl. Anal. 2021, Article ID 8835595, 11 p. (2021). MSC: 65M70 65M06 65M12 35B25 35K57 35R10 PDFBibTeX XMLCite \textit{F. W. Gelu} and \textit{G. F. Duressa}, Abstr. Appl. Anal. 2021, Article ID 8835595, 11 p. (2021; Zbl 1482.65193) Full Text: DOI