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A novel mathematical model of formulation design of emulsion explosive

A novel mathematical model has been developed to aid the formulation of emulsion explosives. This mathematical model calculated heat of explosion, oxygen balance and raw material cost as a function of explosive ingredients, and the solution of the mathematical model was obtained by a MS Excel program. The effects of the different content of NH4NO3, NaNO3, H2O, and span-80 and composite fuel oil...

A new reduced mathematical model to simulate the action potential in end plate of skeletal muscle fibers

Usually mathematicians use Hodgkin-Huxley model or FitzHug-Nagumo model to simulate action potentials of skeletal muscle fibers. These models are electrically excitable, but skeletal muscle fibers are stimulated chemically. To investigate skeletal muscle fibers we use a model with six ordinary differential equations. This dynamical system is sensitive to initial value of some variables so it is...

Prediction of runoff and sediment from agricultural watersheds by a mathematical model 2 mathematical simulation

Numerical solution of the spread of infectious diseases mathematical model based on shifted Bernstein polynomials

The Volterra delay integral equations have numerous applications in various branches of science, including biology, ecology, physics and modeling of engineering and natural sciences. In many cases, it is difficult to obtain analytical solutions of these equations. So, numerical methods as an efficient approximation method for solving Volterra delay integral equations are of interest to many res...

A Mathematical Model for Cell Formation in CMS Using Sequence Data

Cell formation problem in Cellular Manufacturing System (CMS) design has derived the attention of researchers for more than three decades. However, use of sequence data for cell formation has been the least investigated area. Sequence data provides valuable information about the flow patterns of various jobs in a manufacturing system. This paper presents a new mathematical model to solve a cell...

Mathematical modelling of an annular photocatalytic reactor for methylene blue degradation under UV light irradiation using rGO-ZnO hybrid

The application of heterogeneous photocatalysis in industrial scale has been hindered by a lack of simple mathematical models that can be easily applied to reactor design and scale-up. This work intends to use a simple mathematical model for predicting methylene blue (MB) degradation in a slurry-annular photocatalytic reactor using zinc oxide (ZnO) hybridized with reduced graphene oxide (rGO)-Z...