Zobrazeno 1 - 10
of 8 138
pro vyhledávání: '"uniform convergence"'
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 4, Pp 1140-1167 (2024)
This research presents a nonuniform Haar wavelet approximation of a singularly perturbed convection-diffusion problem with an integral boundary. The problem is discretized by approximating the second derivative of the solution with the help of a nonu
Externí odkaz:
https://doaj.org/article/fe0fc8ee53284b2bbb53bad195f10dd5
Autor:
Ivanov, Dmitrii Yurievich
Publikováno v:
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, Vol 24, Iss 4, Pp 476-487 (2024)
A semi-analytical approximation of the normal derivative of the simple layer heat potential near the boundary of a two-dimensional domain with $C^{5} $ smoothness is proposed. The calculation of the integrals that arise after piecewise quadratic inte
Externí odkaz:
https://doaj.org/article/813c284f4645436aa0293bdb0fccf3cb
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 24998-25027 (2024)
In this paper, we discuss a higher-order convergent numerical method for a two-parameter singularly perturbed differential equation with a discontinuous convection coefficient and a discontinuous source term. The presence of perturbation parameters g
Externí odkaz:
https://doaj.org/article/74bfccef549649cf8222f7a4187db43a
Autor:
K. R. Ranjan, S. Gowrisankar
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 2, Pp 347-366 (2024)
In this article, we explore the discontinuous Galerkin finite element method for two-parametric singularly perturbed convection-diffusion problems with a discontinuous source term. Due to the discontinuity in the source term, the problem typically sh
Externí odkaz:
https://doaj.org/article/fedd7b3bd59a4ee48446f945874cd699
Autor:
Al Farei Qais, Boulbrachene Messaoud
Publikováno v:
Nonlinear Engineering, Vol 13, Iss 1, Pp p. 1-40 (2024)
In this article, we are interested in the standard finite element approximation method of linear additive Schwarz iterations for a class of semi-linear elliptic problems, for two subdomains, in the context of non-matching grids. More precisely, by me
Externí odkaz:
https://doaj.org/article/15db09cb17484b0ca48897418ef74902
Publikováno v:
Alexandria Engineering Journal, Vol 92, Iss , Pp 92-101 (2024)
This study uses numerical methods to solve a specific type of reaction-diffusion problem arising in viscoelasticity (singularly perturbed Fredholm integro-differential equations). These equations are challenging because they exhibit ‘boundary layer
Externí odkaz:
https://doaj.org/article/526936574c2045daac4b558a16d9efbf
Autor:
K. K. Sah, S. Gowrisankar
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 1, Pp 219-264 (2024)
In this paper, we focus on investigating a post-processing technique de-signed for one-dimensional singularly perturbed parabolic convection-diffusion problems that demonstrate a regular boundary layer. We use a back-ward Euler numerical approach for
Externí odkaz:
https://doaj.org/article/04cb77b0e7d143ae94751d817caa94ef
Publikováno v:
Results in Applied Mathematics, Vol 22, Iss , Pp 100442- (2024)
The existence of boundary layers in the solutions of two-parameter singularly perturbed boundary value problems makes classical numerical methods insufficient in providing accurate approximations. Consequently, the development of layer-adapted mesh m
Externí odkaz:
https://doaj.org/article/bd6284bd2f79465f9dc8639c069131e3