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pro vyhledávání: '"Naol Tufa Negero"'
Autor:
Naol Tufa Negero
Publikováno v:
BMC Research Notes, Vol 16, Iss 1, Pp 1-12 (2023)
Abstract This work proposes a uniformly convergent numerical scheme to solve singularly perturbed parabolic problems of large time delay with two small parameters. The approach uses implicit Euler and the exponentially fitted extended cubic B-spline
Externí odkaz:
https://doaj.org/article/630c8584414f4fe88be3438d8ef32d80
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 8, Iss , Pp 100546- (2023)
In this paper, fitted operator finite difference methods are presented for two-parameter singularly perturbed one-dimensional parabolic partial differential equations with a delay in the time variable. Such boundary value problems are frequently enco
Externí odkaz:
https://doaj.org/article/c07ee6b88aed4cfd948d989071c0cc57
Autor:
Naol Tufa Negero
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 8, Iss , Pp 100530- (2023)
A numerical study of a two-parameter singularly perturbed time-delay parabolic equation has been initiated. The proposed technique is based on a fitted operator finite difference scheme. The first step involves the discretization of the time variable
Externí odkaz:
https://doaj.org/article/7c7914cce41342eab3a242a391b87cf3
Autor:
Naol Tufa Negero
Publikováno v:
Results in Physics, Vol 51, Iss , Pp 106724- (2023)
The present paper deals with the class of time-delayed, singularly perturbed parabolic reaction–diffusion problems. In the x−t plane, parabolic boundary layers appear on the two lateral sides of the domain when a small parameter is multiplied by
Externí odkaz:
https://doaj.org/article/701b91d51ec44080b53771f0d1114e5a
Autor:
Naol Tufa Negero
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 7, Iss , Pp 100518- (2023)
In this article we study numerical approximation for two-parameter singularly perturbed parabolic partial differential equations with time delay. A priori bounds on the exact solution and its derivatives are provided to useful in the error analysis o
Externí odkaz:
https://doaj.org/article/1a2fb0cd227641a0a888c835494a4a79
Autor:
Naol Tufa Negero
Publikováno v:
Results in Applied Mathematics, Vol 16, Iss , Pp 100338- (2022)
In the present paper, an exponentially fitted numerical scheme is constructed and analyzed for solving singularly perturbed two-parameter parabolic problems with large temporal lag. The problem is discretized by the Crank–Nicolson scheme and the ex
Externí odkaz:
https://doaj.org/article/a89f495cadf84e85aa8c6b00c2c6a082
Publikováno v:
Results in Applied Mathematics, Vol 11, Iss , Pp 100174- (2021)
A robust numerical scheme is proposed to solve singularly perturbed large time-delay parabolic convection–diffusion problems. For domain discretization, the backward-Euler method for the time derivative and Micken’s type discretization for the sp
Externí odkaz:
https://doaj.org/article/6a992634e5104262be212e8af1ae51f5