Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Getachew Adamu Derese"'
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100873- (2024)
In this paper, we proposed an accurate ϵ-uniformly convergent numerical method to solve singularly perturbed time-fractional convection–diffusion equations via exponential fitted operator scheme. The time-fractional derivative is defined in the se
Externí odkaz:
https://doaj.org/article/dd421725d012463790631a0992ad2cf0
Publikováno v:
Computational and Mathematical Methods, Vol 2024 (2024)
In this study, we consider a parameter-uniform convergent numerical approach for a class of time-fractional singularly perturbed partial differential equations (TF-SPDPDEs) with large delay in time that exhibits a regular exponential boundary layer o
Externí odkaz:
https://doaj.org/article/aceba6684acd43c7bf42fb47af025169
Publikováno v:
Journal of Applied Mathematics, Vol 2024 (2024)
The streamline upwind Petrov-Galerkin (SUPG) finite element method was used in this study to investigate the thermal and surface roughness effects on an inclined slider bearing with an unsteady fluid film. One-dimensional transverse and longitudinal
Externí odkaz:
https://doaj.org/article/a0fdabf54b154820aa17cf056e65638e
Publikováno v:
Results in Applied Mathematics, Vol 18, Iss , Pp 100361- (2023)
In this work, we investigated a numerical solution for a two-parameter singularly perturbed time-delayed problems. Due to the presence of small parameters, the solution of these problems exhibits twin boundary layers in the neighborhood of the end of
Externí odkaz:
https://doaj.org/article/9949abe92b9548c3950590d0973e4c12
Publikováno v:
Abstract and Applied Analysis, Vol 2023 (2023)
In this article, a singularly perturbed convection-diffusion problem with a small time lag is examined. Because of the appearance of a small perturbation parameter, a boundary layer is observed in the solution of the problem. A hybrid scheme has been
Externí odkaz:
https://doaj.org/article/f5e388166df84e3d9094524467c95f8f
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2022 (2022)
In this paper, we design and investigate a higher order ε-uniformly convergent method to solve singularly perturbed parabolic reaction-diffusion problems with a large time delay. We use the Crank–Nicolson method for the time derivative, while the
Externí odkaz:
https://doaj.org/article/bd245e9f75d0435d8899f87feaa1cb16
Publikováno v:
Journal of Mathematics, Vol 2022 (2022)
A singularly perturbed delay parabolic problem of convection-diffusion type with a discontinuous convection coefficient and source term is examined. In the problem, strong interior layers and weak boundary layers are exhibited due to a large delay in
Externí odkaz:
https://doaj.org/article/69dff4cf8cd744dcb6dae093fd67c308
Publikováno v:
Abstract and Applied Analysis, Vol 2021 (2021)
This paper proposes a new fitted operator strategy for solving singularly perturbed parabolic partial differential equation with delay on the spatial variable. We decomposed the problem into three piecewise equations. The delay term in the equation i
Externí odkaz:
https://doaj.org/article/d8d9727e0ce54ddc8f1adc8495f2085f
Publikováno v:
Abstract and Applied Analysis, Vol 2020 (2020)
In this paper, a class of linear second-order singularly perturbed differential-difference turning point problems with mixed shifts exhibiting two exponential boundary layers is considered. For the numerical treatment of these problems, first we empl
Externí odkaz:
https://doaj.org/article/47473561d3d148e59d67740c2498fff5
Publikováno v:
Journal of Applied Mathematics, Vol 2020 (2020)
In this paper, an initial value method for solving a weakly coupled system of two second-order singularly perturbed Convection–diffusion problems exhibiting a boundary layer at one end is proposed. In this approach, the approximate solution for the
Externí odkaz:
https://doaj.org/article/74ecb653ad8f4036b91540f023ce90b5