Djaghout Manal

• University of Guelma

In the present paper, we are interested in investigating a classe of nonlinear parabolic integro-differential equation with unknown flux on the part of Dirichlet boundary. A discrete scheme for the time approximations is introduced. Existence and uniqueness of a weak solution at each time step are proved. Convergence of the approximate solution to...

A high-order parabolic p-biLaplace equation with memory term is studied. Using Roth’s method, we managed to find the approximate solution of the time semi-discretized problem. Some a priori estimates are proved, from which we extract convergence, existence, uniqueness and qualitative results in suitable functional spaces. A full discretization sche...

A high-order parabolic p (.) −Bilaplace equation with variable exponent is studied. The well-posedness at each time step of the problem in suitable Lebesgue Sobolev spaces with variable exponent with the help of nonlinear monotone operators theory is investigated. The solvability of the proposed problem as well as some regulrarity results are shown...

We present full discretization of the telegraph equation with nonlocal coefficient using Rothe-finite element method. For solving the equation numerically we use the Newton Raphson method, but the nonlocal term causes difficulties because the Jacobien matrix is full. To remedy these difficulties we apply the technique used by Sudhakar [4]. The opti...