arXiv subjects

Houda Hani

Publications and source records attributed to Houda Hani.

3 recordsLinked to original sources

arXiv2020

Blow-up of semi-discrete solution of a nonlinear parabolic equation with gradient term

This paper is concerned with approximation of blow-up phenomena in nonlinear parabolic problems. We consider the equation u_t = u_xx +|u|^p -b(x)|u_x|^q in a bounded domain, we study the behavior of the semidiscrete problem. Under some assumptions we show existence and unicity of the semidiscrete solution, we show that it blows up in a finite time and we prove the convergence of the semidiscrete problem. Finally, we give an approximation of the blow up rate and the blow up time of the semidiscrete solution

math.AP↗

arXiv2015

Asymptotic Behaviours of Solutions for Finite Difference Analogue of the Chipot-Weissler Equation

This paper deals with nonlinear parabolic equation for which a local solution in time exists and then blows up in a finite time. We consider the Chipot-Weissler equation. We study the numerical approximation, we show that the numerical solution converges to the continuous one under some restriction on the initial data and the parameters of the non linearity. Moreover, we study the numerical blow up sets and we show that although the convergence of the numerical solution is guaranteed, the numerical blow up sets are sometimes different from that of the PDE

math.NA↗

arXiv2014

On a Finite Differnce Scheme For Blow Up Solutions For The Chipot-Weissler Equation

In this paper, we are interested in the numerical analysis of blow up for the Chipot-Weissler equation with Dirichlet boundary conditions in bounded domain. To approximate the blow up solution, we construct a finite difference scheme and we prove that the numerical solution satisfies the same properties of the exact one and blows up in finite time.

math.NA↗