Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Tekle Gemechu Dinka"'
Publikováno v:
BMC Research Notes, Vol 16, Iss 1, Pp 1-11 (2023)
Abstract Objectives In this paper, a numerical scheme is designed for solving singularly perturbed Fredholm integro-differential equation. The scheme is constructed via the exact (non-standard) finite difference method to approximate the differential
Externí odkaz:
https://doaj.org/article/c9e34ee852ad401f97bad6352bda8f26
Publikováno v:
BMC Research Notes, Vol 16, Iss 1, Pp 1-16 (2023)
Abstract Objective The paper is focused on developing and analyzing a uniformly convergent numerical scheme for a singularly perturbed reaction-diffusion problem with a negative shift. The solution of such problem exhibits strong boundary layers at t
Externí odkaz:
https://doaj.org/article/9f2d73fbb44047c2833e654c14e3f41c
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
Particle swarm optimization (PSO) algorithm is an optimization technique with remarkable performance for problem solving. The convergence analysis of the method is still in research. This article proposes a mechanism for controlling the velocity by a
Externí odkaz:
https://doaj.org/article/f904329edbd844b2a94d3032d96777a9
Fitted Numerical Scheme for Singularly Perturbed Convection-Diffusion Equation with Small Time Delay
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2024 (2024)
In this article, a uniformly convergent numerical scheme is developed to solve a singularly perturbed convection-diffusion equation with a small delay having a boundary layer along the left side. A priori bounds of continuous solution and its derivat
Externí odkaz:
https://doaj.org/article/7b906e27e7da45b4b80f9c2810a1fec3
Publikováno v:
Journal of Applied Mathematics, Vol 2024 (2024)
A fitted tension spline numerical scheme for a singularly perturbed parabolic problem (SPPP) with time delay is proposed. The presence of a small parameter ε as a multiple of the diffusion term leads to the suddenly changing behaviors of the solutio
Externí odkaz:
https://doaj.org/article/7de2bf05e60f4e99be3fdd212d28edea
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)
In this article, a class of singularly perturbed time-delay two-parameter second-order parabolic problems are considered. The presence of the two small parameters attached to the derivatives causes the solution of the given problem to exhibit boundar
Externí odkaz:
https://doaj.org/article/1561f4b519b24d8fb2fa6e72598abfc0
Publikováno v:
SN Applied Sciences, Vol 4, Iss 12, Pp 1-15 (2022)
Abstract In this study, a parameter-uniform numerical scheme is built and analyzed to treat a singularly perturbed parabolic differential equation involving large spatial delay. The solution of the considered problem has two strong boundary layers du
Externí odkaz:
https://doaj.org/article/3780371ab7594243b70dc92914e73201
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)
A uniformly convergent numerical scheme is proposed to solve a singularly perturbed convection-diffusion problem with a large time delay. The diffusion term of the problem is multiplied by a perturbation parameter, ε. For a small ε, the problem exh
Externí odkaz:
https://doaj.org/article/30406d9451b04fa5915284a57af84584
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)
In this article, we proposed and analyzed a numerical scheme for singularly perturbed differential equations with both spatial and temporal delays. The presence of the perturbation parameter exhibits strong boundary layers, and the large negative shi
Externí odkaz:
https://doaj.org/article/ebcd1d1c4e9e4ab28a6a6408cb371dd3
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2023 (2023)
The objective of this research work is to develop and analyse a numerical scheme for solving singularly perturbed parabolic reaction-diffusion problems with large spatial delay. The presence of the small positive parameter on the term with the highes
Externí odkaz:
https://doaj.org/article/21e27154ecc844ebb234adb207f4fe70