On Van der Waals's Isothermal Equation

A new algorithm for solving Van der Pol equation based on piecewise spectral Adomian decomposition ‎method‎

‎‎In this article‎, ‎a new method is introduced to give approximate solution to Van der Pol equation‎. ‎The proposed method is based on the combination of two different methods‎, ‎the spectral Adomian decomposition method (SADM) and piecewise method‎, ‎called the piecewise Adomian decomposition method (PSADM)‎. ‎The numerical results obtained from the proposed method show that this method is an...

Generalized van der Waals equation of state*

The quantitative thermodynamic effect of adding a weak, long-range attraction to inverse-power repUlsive potentials is studied. The resulting phase diagrams exhibit two fluid phases and a solid phase. a critical point, a triple point, and, for sufficiently soft repulsions, an additional solid phase with an additional triple point. The effects of attractions other than van der Waals' are studied...

A Conservative Method for the Simulation of the Isothermal Euler System with the van-der-Waals Equation of State

In this article, we are interested in the simulation of phase transition in compressible flows, with the isothermal Euler system, closed by the van-der-Waals model. We formulate the problem as an hyperbolic system, with a source term located at the interface between liquid and vapour. The numerical scheme is based on [1, 5]. Compared with previous discretizations of the van-der-Waals system, th...

گزارش یک مورد سندرم VAN DER WOUDE

The Duffing–Van der Pol Equation: Metamorphoses of Resonance Curves

We study dynamics of the Duffing–Van der Pol driven oscillator. Periodic steady-state solutions of the corresponding equation are determined within the Krylov-Bogoliubov-Mitropolsky approach to yield dependence of amplitude on forcing frequency as an implicit function, referred to as resonance curve or amplitude profile. Equations for singular points of resonance curves are solved exactly. We i...