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Negero, Naol, Duressa, Gemechis File. (1401). Parameter-uniform robust scheme for singularly perturbed parabolic convection-diffusion problems with large time-lag. سامانه مدیریت نشریات علمی, 10(4), 954-968. doi: 10.22034/cmde.2022.47907.2006
Naol Tufa Negero; Gemechis File Duressa. "Parameter-uniform robust scheme for singularly perturbed parabolic convection-diffusion problems with large time-lag". سامانه مدیریت نشریات علمی, 10, 4, 1401, 954-968. doi: 10.22034/cmde.2022.47907.2006
Negero, Naol, Duressa, Gemechis File. (1401). 'Parameter-uniform robust scheme for singularly perturbed parabolic convection-diffusion problems with large time-lag', سامانه مدیریت نشریات علمی, 10(4), pp. 954-968. doi: 10.22034/cmde.2022.47907.2006
Negero, Naol, Duressa, Gemechis File. Parameter-uniform robust scheme for singularly perturbed parabolic convection-diffusion problems with large time-lag. سامانه مدیریت نشریات علمی, 1401; 10(4): 954-968. doi: 10.22034/cmde.2022.47907.2006

Parameter-uniform robust scheme for singularly perturbed parabolic convection-diffusion problems with large time-lag

Computational Methods for Differential Equations
مقاله 9، دوره 10، شماره 4، دی 2022، صفحه 954-968  XML اصل مقاله (839.45 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.47907.2006
نویسندگان
Naol Tufa Negero email orcid 1؛ Gemechis File Duressaorcid 2
1Department of Mathematics, Wollega University, Nekemte, Ethiopia.
2Department of Mathematics, Jimma University, Jimma, Ethiopia.
چکیده
This paper deals with a parameter uniform numerical method for singularly perturbed time delayed parabolic convection-diffusion problems. The method consists of a backward-Euler to discretize in temporal dimension and exponentially fitted B-spline collocation scheme for the spatial dimension on a uniform mesh. Parameter-uniform error estimates are obtained, and the method is proved uniformly convergent. The developed scheme is tested on various problems and observed to support the theoretical results. Finally, the numerical solutions are compared with the existing literature methods, and the present method is more accurate.
کلیدواژه‌ها
Singularly perturbed parabolic convection-diffusion problem؛ Time delay؛ B-spline collocation؛ Exponentially fitted method؛ Parameter uniform convergence
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