Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Mohamed Ben-Romdhane"'
Autor:
Helmi Temimi, Mohamed Ben-Romdhane
Publikováno v:
Mathematical Modelling and Analysis, Vol 23, Iss 1 (2018)
In this paper, we study the nonlinear boundary-layer equation of Falkner-Skan defined on a semi-infinite domain. An iterative finite difference (IFD) scheme is proposed to numerically solve such nonlinear ordinary differential equation. A computation
Externí odkaz:
https://doaj.org/article/f31e1fdea34e4c55a0dbeed8b5b5671a
Publikováno v:
Annals of Vascular Surgery.
Publikováno v:
Applied Numerical Mathematics. 153:202-216
We intend to numerically solve the famous two-dimensional Bratu's problem through developing a new iterative finite difference algorithm. The proposed scheme is capable of accurately approximating both branches of the solution of the considered probl
Publikováno v:
Applied Numerical Mathematics. 152:285-309
In this paper, we present a discontinuous Galerkin (DG) finite element method for stochastic ordinary differential equations (SDEs) driven by additive noises. First, we construct a new approximate SDE whose solution converges to the solution of the o
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 13:2761-2787
In this paper, a deterministic model is formulated in the aim of performing a thorough investigation of the transmission dynamics of influenza. The main advantage of our model compared to existing models is that it takes into account the effects of h
An iterative finite difference method for approximating the two-branched solution of Bratu's problem
Publikováno v:
Applied Numerical Mathematics. 139:62-76
In this paper, we propose an iterative finite difference (IFD) scheme to simultaneously approximate both branches of a two-branched solution to the one-dimensional Bratu's problem. We first introduce a transformation to convert Bratu's problem into a
Publikováno v:
Applied Numerical Mathematics. 137:91-115
In this paper, we study the convergence and superconvergence properties of an ultra weak discontinuous Galerkin (DG) method for linear fourth-order boundary-value problems (BVPs). We prove several optimal L 2 error estimates for the solution and its
Publikováno v:
Computers & Mathematics with Applications. 75:1868-1881
We discuss the construction of higher degree immersed finite element (IFE) spaces that can be used to solve two dimensional second order elliptic interface problems having general interfaces without requiring the mesh to be aligned with the material
Autor:
Mohamed Ben-Romdhane, Helmi Temimi
Publikováno v:
Mathematical Modelling and Analysis; Vol 23 No 1 (2018); 139-151
Mathematical Modelling and Analysis, Vol 23, Iss 1 (2018)
Mathematical Modelling and Analysis, Vol 23, Iss 1 (2018)
In this paper, we study the nonlinear boundary-layer equation of Falkner- Skan defned on a semi-infnite domain. An iterative finite difference (IFD) scheme is proposed to numerically solve such nonlinear ordinary differential equation. A computationa
Autor:
Helmi Temimi, Mohamed Ben-Romdhane
Publikováno v:
International Journal for Computational Methods in Engineering Science and Mechanics. 18:230-237
Troesch's problem is a nonlinear boundary value problem arising in the confinement of a plasma column by radiation pressure, and also in the theory of gas porous electrodes. It is well known that finding numerical solutions to this problem is challen