A semi-empirical equation of state has been studied for modelling vapour-liquid data of pure substances. The specific molecular based equation of state is employed here as basis because of its mathematical simplicity. The semi-empirical extension has been accomplished to real fluids by correlating the density dependence of the attraction term to vapour liquid data of a reference fluid. The resu...

In the field of scientific computing there is a manifold of software applications and tools available which provide methods and libraries for the solution of very specific problem classes [1, 13, 15, 22, 26]. They are mostly specialized on a certain type of underlying mathematical model resulting in a solution process which is highly predictable. We have designed a topological library [11] whic...

background: photon attenuation as an inevitable physical phenomenon influences on the diagnostic information of spect images and results to errors in accuracy of quantitative measurements. this can be corrected via different physical or mathematical approaches. as the correction equation in mathematical approaches is nonlinear, in this study a new method of linearization called ‘piece wise line...

The well-known Regge-Wheeler equation describes the axial perturbations of Schwarzschild metric in the linear approximation. From a mathematical point of view it presents a particular case of the confluent Heun equation and can be solved exactly, due to recent mathematical developments. We present the basic properties of its general solution. A novel analytical approach and numerical techniques...

There are many examples of formula editors, also called equation editors. For example, WIRIS editor is a web based formula editor from Maths for More and is the first JavaScript editor to provide a rich user interface for the edition of the Arabic mathematical notation [4]. The Dadzilla MathML browser for Arabic mathematical presentation also includes a MathML editor [3]. It would not be fair n...

A mathematical description of grinding processes used in powder technologies is developed. A grinding equation, an operator equation, connecting the final particle size distribution function to the particle size distribution function before the grinding process is studied. The mathematical model introduced here can be used to predict the results of grinding, to construct grinding systems with d...

Abstract: In this paper, the Exp-function method with the aid of symbolic computational system is used to obtain generalized solitary solutions and periodic solutions of the MKdV equation, Burgers’ equation in one and two dimensional with variable coefficients. It is shown that the Exp-function method, with the help of symbolic computation, provides a powerful mathematical tool for solving othe...

The excess accumulation of water in lung interstitial or alveolar is called pulmonary edema which is caused by factors that upset the normal Starling balance in micro-circulation. Pulmonary edema disturbs the alveolar gas exchanges which are normally regulated by the respiratory system. Mathematical modelling of pulmonary edema may help to predict the lung conditions and the mechanisms involved...

The excess accumulation of water in lung interstitial or alveolar is called pulmonary edema which is caused by factors that upset the normal Starling balance in micro-circulation. Pulmonary edema disturbs the alveolar gas exchanges which are normally regulated by the respiratory system. Mathematical modelling of pulmonary edema may help to predict the lung conditions and the mechanisms involved...

The Riemann wave equation is an intriguing nonlinear in the areas of tsunamis and tidal waves oceans, electromagnetic transmission lines, magnetic ionic sound radiations plasmas, static uniform media, etc. In this innovative research, analytical solutions fractional with a conformable derivative were retrieved as special case, broad-spectrum unknown parameters established improved (G’/G)-expans...