Materials which are heated by the passage of electricity are usually modeled by a nonlinear coupled system of two partial differential equations. The current equation is elliptic, while the temperature equation is parabolic. These equations are coupled one to another through the conductivities and t
Galerkin method applied to a parabolic evolution problem with nonlocal boundary conditions
โ Scribed by Abdelfatah Bouziani; Nabil Merazga; Sihem Benamira
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 261 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The paper is concerned with optimal control problem for a non-linear parabolic equation with nonhomogenous boundary condition and quadratic cost. The control is acting in a nonlinear equation. We derive some results on the existence of optimal controls. Then we treat optimal control problem by Galer
A numerical technique based on the Isotherm Migration Method is presented for solving Moving Boundary Problems involving convective boundary conditions. The method is illustrated by solving sample problems in one dimension as well as in two dimensions. The comparison of present results with those of
of its orientation. So corresponding to the chirality parameters ลฝ2. s 0.5 and 0.8, respectively, the bias field intensity in the ferrite substrate is assumed to be increased from the ลฝ1.
This paper deals with a porous medium system with nonlocal sources and weighted nonlocal boundary conditions. The main aim of this paper is to study how the reaction terms, the diffusion terms, and the weight functions in the boundary conditions affect the global and blow-up properties to a porous m