MODELING AND SIMULATION OF DIFFERENTIAL EQUATION IN X-COS USING SCILAB (SCICOS)

With the help of Scilab X-cos we have been solved the set of simultaneous differential equations and Scilab software version is 6.1.1 that’s a latest version. X-cos is a free, and open-source software for scientific calculation. It is a toolbox of Scilab and provides an environment for modeling and simulation of dynamical systems. For a physical system here we have solved six equation using X-cos and approximately one hundred pellets have been used to execute the program. The most used pallets have been shown in diagram X-cos blocks represent elementary systems that can be used as model building blocks. They can have several inputs and outputs, continuous-time states, discrete-time states, zero-crossing functions, etc. X-cos translates the block diagram model into a system of ordinary differential equations (ODEs) and applies an ODE solver in order to perform a simulation. A block diagram system representation can only be used to model ODEs and a special class of ODEs, while the solvers used in X-cos support a larger class of ODEs. The following is our different systems of differential equations to solve. When the X-cos model prepare then we set the ideal parameters for the dynamical equations. After it we set the value of time as we like then execute the program that’s tell us the behaviour of the differential equations of physical system. Here the amplitude has been restricted using the properties of X-cos. The given differential equations consist of several systems included and that system is in such as a sinusoidal function and that decays with increase in time. The equations behaviour match with the results of Scilab but in this paper we are not presenting the Scilab codes because we have solved these equations by X-cos only; so X-cos model is ready. We opt such type of model, it’s a challenge because for complicated simultaneous differential equations our presents methods does not give result with accuracy also these method take a lot of time to solve the problems. So X-cos becomes more effective and solve the higher order simultaneous differential equations quickly provided that the programmer have good knowledge of blocks/pellets. So due to its advantages its demand is increasing in the R & D as well as in IT. The different types of the models like spring -mass system, multiple spring -mass system, atomic models like di-atomic, tri-atomic, chain reactions in chemistry, trajectories of physical systems, engineering mechanics & hydrodynamics problems, study of planets, motion of bullets by the high impulse weapons, motion of waves by the nuclear weapons, probability based models and much more can be studied without mistake using X-cos. There are world-wide applications of this software and used in industries, academies, engineering and in research. It is also an alternative of Matlab software and in high demand due to it its cost and compactness in memory space. During last one-decade large numbers of research papers have been published using this software in all branches of sciences and engineering. The research is continuous to develop and make friendly the software. The advantages of it are much more as compared to other softwares; its zero cost is the main advantage. We are presenting only X-cos model here and the output will display in the full-length paper. It is only abstract but not full paper.