Motivated by the problem of the existence of a solution of the nonlinear telegraph equation ut t + cut − ux x + h(u) = f (t, x) , such that u(t, ·) satisfies suitable boundary conditions over (0, π) and ‖u(t, ·)‖ is bounded over for some function space norm ‖ · ‖, we prove the dissipativeness and the existence of bounded solutions over of semilinear evolution equations in a Hilbert space of the...

This paper is a continuation of study already carried out on the use reactive-telegraph equation to analyse problems population dynamics based formulation boundary element method (BEM). In this paper, numerical model simulates evolution tumour as problem density cancer cells from different reactive terms coupled describe growth and distribution population, similar two-dimensional in vitro exper...

We introduce stochastic models of chemotaxis generalizing the deterministic KellerSegel model. These models include fluctuations which are important in systems with small particle numbers or close to a critical point. Following Dean’s approach, we derive the exact kinetic equation satisfied by the density distribution of cells. In the mean field limit where statistical correlations between cell...

The transport equation, in highly scattering regimes, has a limit in which the dominant behavior is given by the solution of a di usion equation. Angular discretization like the discrete ordinate method (SN ), the truncated spherical harmonic expansion (PN ) or also nonlinear moment models have the same property. For such systems it would be interesting to construct nite volume schemes on unstr...

We present full discretization of the telegraph equation with nonlocal coeffecient using Rothe-nite element method. For solving numerically we use Newton Raphson method, but term causes diffeculties because Jacobien matrix is full. To remedy these apply technique used by Sudhakar [4]. The optimal a priori error estimates for both semi discrete and fully schemes are derived in V H1 numerical exp...

0096-3003/$ see front matter 2012 Elsevier Inc doi:10.1016/j.amc.2012.01.006 ⇑ Corresponding author. E-mail address: [email protected] (R. Jiwar In this article, we proposed a numerical technique based on polynomial differential quadrature method (PDQM) to find the numerical solutions of two dimensional hyperbolic telegraph equation with Dirichlet and Neumann boundary condition. The PDQM redu...