Open Access Original Research Article

Statistical Analysis of Flow Parameters for the Graphical Simulation Outputs

J. W. E. W. De Silva, S. P. Abeysundara

Asian Research Journal of Mathematics, Page 1-10
DOI: 10.9734/arjom/2021/v17i1230344

System dynamics simulation software, in general, depicts graphical interpretations. The values of the parameters, on the other hand, are required for prediction. The goal of this research is to develop a novel multivariate model that can predict flow parameters while simulating flow under various scenarios. The project involves looking for variations in the streamline and constructing a new multivariate model for each elliptic cylinder system's velocity magnitude. Furthermore, the flow zones were split into three groups based on streamline behavior. As a result, utilizing simulation outputs, new models for flow zones are developed using linear and semiparametric regression. The best fitted model for each flow region was determined using mean square error (MSE), root of mean square error (RMSE), and mean absolute percentage error (MAPE). Based on the fitted smoothing curve of the velocity magnitude, a summary statistic and variability may be assessed. The presented models can be used to predict magnitude in any point of fluid flow using these models.

Open Access Original Research Article

Hierarchical Regression Modeling of Some Factors Affecting Weight of Child at Birth

Desmond C. Bartholomew, Oyinebifun E. Biu, Christopher O. Arimie

Asian Research Journal of Mathematics, Page 11-27
DOI: 10.9734/arjom/2021/v17i1230345

According to World Health Organization (WHO), normal weight of baby at term delivery is (2.5 – 4.2) kilograms. Every child’s birth weight below 2.5 kilograms, regardless of gestational age, is regarded as Low birth weight (LBW). WHO estimates that globally, over 20 million LBW babies are born annually and nearly 95.6% of them in developing countries. Half of all perinatal and 1/3rd of all infant deaths occur in babies with LBW. It is therefore, essential to study some of the factors that causes LBW. Hierarchical Multiple Regression analysis was used to study the effects of mother’s weight, age and height above and beyond mother’s education level in predicting the weight of the child at birth. The results showed that mother’s education level explains about 6.1% of the unexplained variations in the weight of the child at birth in block 1 and mother’s age, weight and height explained about 3.9% above and beyond mother’s education level. This implies that all the variables studied affects the baby’s weight at birth but, the mother’s educational level affects the baby’s weight much more. It was concluded that mother’s education level plays a vital role in predicting the weight of the child at birth because it has a causal effect on the use of prenatal care and improves marriage prospects.

Open Access Original Research Article

Variable Viscosity and Chemical Reaction Effects on MHD Flow of Radiative Fluid Past a Stretching Sheet in the Presence of Joule Heating

D. J. Samuel, I. A. Fayemi

Asian Research Journal of Mathematics, Page 28-42
DOI: 10.9734/arjom/2021/v17i1230346

The focus of the present study is to examine chemical reaction and Joule heating effects on steady flow of a viscous radiating fluid in a porous medium under the influence of variable viscosity. The fluid viscosity is assumed to vary exponentially with temperature. The governing equations of ow, heat and mass transfer are transformed into ordinary differential equations using appropriate similarity transformations. The converted ordinary differential equations are then solved numerically by using fourth order Runge-Kutta Fehlberg method. The effects of different pertinent parameters on the flow, heat and mass transfer characteristic are analyzed and discussed in detail through graphs and table. It is observed that larger values of variable viscosity parameter depreciates the fluid velocity.

Open Access Original Research Article

S-Index of Different Graph Operations

S. Nagarajan, G. Kayalvizhi, G. Priyadharsini

Asian Research Journal of Mathematics, Page 43-52
DOI: 10.9734/arjom/2021/v17i1230347

In this paper, we introduced new index from the Zagreb index family, named as -index is defined as the sum of degree five of all the vertices of a graph. We derive the -index of some different graph operations such that Join, Cartesian product, Composition, Corona product, Tensor Product, Strong product, Disjunction, Symmetric difference, Corona join product, Subdivision vertex join are obtained.

Open Access Original Research Article

Transitivity Action of the Cartesian Product of the Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples

Maraka K. Moses, Musundi W. Sammy, Lewis N. Nyaga

Asian Research Journal of Mathematics, Page 53-62
DOI: 10.9734/arjom/2021/v17i1230348

In this paper, we investigate some transitivity action properties of the cartesian product of the alternating group \(A_{n}(n \geq 5)\) acting on a cartesian product of ordered sets of triples using the Orbit-Stabilizer Theorem by showing that the length of the orbit \((p, s, v) \text { in } A_{n} \times A_{n} \times A_{n},(n \geq 5)\) acting on \(P^{[3]} \times S^{[3]} \times V^{[3]}\) is equivalent to the cardinality of \(P^{[3]} \times S^{[3]} \times V^{[3]}\) to imply transitivity.

Open Access Original Research Article