Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Gabil M. Amiraliyev"'
Publikováno v:
Applied Numerical Mathematics. 191:17-28
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0772c9c4fb1e4a77c9e22e285c23f93
https://doi.org/10.1016/j.apnum.2023.05.008
https://doi.org/10.1016/j.apnum.2023.05.008
Publikováno v:
Journal of Applied Mathematics and Computing. 69:505-528
In this paper, a linear singularly perturbed Fredholm integro-differential initial value problem with integral condition is being considered. On a Shishkin-type mesh, a fitted finite difference approach is applied using a composite trapezoidal rule i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3db2a3a6a4a0a843ee34442a703ee3e
https://doi.org/10.1007/s12190-022-01757-4
https://doi.org/10.1007/s12190-022-01757-4
Publikováno v:
Mediterranean Journal of Mathematics. 20
In this paper, we study a uniform finite difference method for the first-order singularly perturbed Volterra integro-differential problem depending on a parameter. We prove that the method is uniform second-order convergent except for a logarithmic f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3169f0616677d4f2e50ab6b062a07cf
https://doi.org/10.1007/s00009-023-02360-y
https://doi.org/10.1007/s00009-023-02360-y
Autor:
Gabil M. Amiraliyev, Musa Cakir
Publikováno v:
Journal of Applied Mathematics and Computing. 67:919-936
The aim of this paper is to present a monotone numerical method on uniform mesh for solving singularly perturbed three-point reaction-diffusion boundary value problems. Firstly, properties of the exact solution are analyzed. Difference schemes are es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e36e03a1077e35f944769689a8b41911
https://doi.org/10.1007/s12190-021-01506-z
https://doi.org/10.1007/s12190-021-01506-z
Publikováno v:
Lithuanian Mathematical Journal. 60:147-160
In this paper, we propose and analyze numerical treatment for a singularly perturbed convection-diffusion boundary value problem with nonlocal condition. First, the boundary layer behavior of the exact solution and its first derivative have been esti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::748aca27c309f0d649d0bbe7a791c4b7
https://doi.org/10.1007/s10986-020-09471-z
https://doi.org/10.1007/s10986-020-09471-z
Autor:
Gabil M. Amiraliyev, Ilhame Amirali
This paper deals with the study a finite-difference approximation of the one dimensional initial-boundary value problem for a pseudo-parabolic equation containing time delay in second derivative. We propose three layer difference scheme and obtain th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ecaa264cbafa8194b5966f013794a364
https://hdl.handle.net/20.500.12684/10582
https://hdl.handle.net/20.500.12684/10582
Publikováno v:
Journal of Computational and Applied Mathematics. 355:301-309
Yapman, Omer/0000-0003-3117-2932 WOS: 000463302400022 In this paper, the initial value problem for a quasilinear singularly perturbed delay Volterra integro-differential equation was considered. By the method of integral identities with the use of ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c73d67351e09ac7ea8ae98b608bd325
https://doi.org/10.1016/j.cam.2019.01.026
https://doi.org/10.1016/j.cam.2019.01.026
Autor:
Gabil M. Amiraliyev, Ömer Yapman
Publikováno v:
International Journal of Computer Mathematics. 97:1293-1302
In this paper, we deal with the second-order accurate homogeneous (nonhybrid) type difference scheme for solving a singularly perturbed first-order Volterra integro-differential equation. It is shown that the method displays uniform convergence of O(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0f153b03356a4a5a634fb8f9d3f4331
https://doi.org/10.1080/00207160.2019.1614565
https://doi.org/10.1080/00207160.2019.1614565
Publikováno v:
Mediterranean Journal of Mathematics. 18
In this paper, the homogeneous type fitted difference scheme for solving singularly perturbed problem depending on a parameter with integral boundary condition is proposed. We prove that the method is $$O(N^{-2}\ln N)$$ uniform convergent on Shishkin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20747e72748f81177e76f7cd8323d1b7
https://doi.org/10.1007/s00009-021-01758-w
https://doi.org/10.1007/s00009-021-01758-w
Publikováno v:
Mediterranean Journal of Mathematics. 18
In this paper, we deal with a fitted second-order homogeneous (non-hybrid) type difference scheme for solving the singularly perturbed linear second-order Fredholm integro-differential equation. The numerical method represents the exponentially fitte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b492abed44a8462e1c071ae0a6b390a7
https://doi.org/10.1007/s00009-020-01693-2
https://doi.org/10.1007/s00009-020-01693-2