Modelica’s language support includes so-called events for describing discontinuities. Modern integrating environments, like Assimulo, provide elaborate event detection and event handling methods. In addition, the overall performance of a simulation of models with discontinuities (hybrid models) depends strongly on the methods for restarting the integration after an event detection. The present ...

In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic method called multistage homotopy perturbation method (HPM). The MHPM is tested for several exam...

It has been shown that a framework composed of digital signal processing (DSP) elements can be used to simulate and study Freeman’s model of the biologically realistic olfactory cortex. In this paper, based on impulse invariant transformation, a DSP environment has been developed corresponding to the original continuous-time dynamical system. The performance of the DSP system is quantitatively ...

This research focuses on entropy generation rate per unit volume in magneto-hydrodynamic (MHD) mixed convection boundary layer flow of a viscous fluid over an inclined stretching sheet. Analysis has been performed in the presence of viscous dissipation and non-isothermal boundary conditions. The governing boundary layer equations are transformed into ordinary differential equations by an approp...

The present work is devoted to study the numerical simulation for unsteady MHD flow and heat transfer of a couple stress fluid over a rotating disk. A similarity transformation is employed to reduce the time dependent system of nonlinear partial differential equations (PDEs) to ordinary differential equations (ODEs). The Runge-Kutta method and shooting technique are employed for finding the num...

Recently, a great deal of attention has been focused on the construction of exponential integrators for semi-linear problems. In this paper we describe a matlab package which aims to facilitate the quick deployment and testing of exponential integrators, of Runge–Kutta, multistep and general linear type. A large number of integrators are included in this package along with several well known ex...

The present paper deals with a steady two-dimensional laminar flow of a viscous incompressible electrically conducting fluid over a shrinking sheet in the presence of uniform transverse magnetic field with viscous dissipation. Using suitable similarity transformations the governing partial differential equations are transformed into ordinary differential equations and then solved numerically by...

The combined effects of viscous dissipation and Joule heating on unsteady MHD flow over a stretching sheet saturated in porous medium are analyzed. The governing nonlinear coupled partial differential equations are transformed into ordinary coupled differential equations by similarity transformation and solved numerically using Runge-Kutta fourth order method with shooting technique. The study ...

Recently, a great deal of attention has been focused on the construction of exponential integrators for semi-linear problems. In this paper we describe a matlab package which aims to facilitate the quick deployment and testing of exponential integrators, of Runge–Kutta, multistep and general linear type. A large number of integrators are included in this package along with several well known ex...