Development of a Solar-Powered Incubator for Poultry Eggs by Joseph Abutu, Mainigi Umar, James Wamayi Midala, Abdulkarim Muhammad Odeh, Garkuwa Haruna, Christian Ike, Sunday Albert Lawal

“…The design of the incubator was carried out using the different equations stipulated in literatures. Also, the performance of the incubator was investigated by determining the system temperature, relative humidity, percentage fertility and hatchability. …”
Get full text

Dynamical Models of Tuberculosis and Their Applications by Carlos Castillo-Chavez, Baojun Song

“…Modelformulations involve a variety of mathematical areas, such as ODEs(Ordinary Differential Equations) (both autonomous andnon-autonomous systems), PDEs (Partial Differential Equations),system of difference equations, system of integro-differentialequations, Markov chain model, and simulation models.…”
Get full text

Stochastic Modeling and Availability Optimization of Nuts Manufacturing Plant Using Markov Process and Particle Swarm Optimization by Naveen Kumar, Ashish Kumar, Deepak Sinwar, Monika Saini

“…The Markov birth death approach is applied to develop the stochastic model as well as Chapman-Kolmogorov differential difference equations of the system. The availability function derived using Markov approach is treated as objective function of the optimization problem having decision parameters as failure and repair rates. …”
Get full text

HPM-Based Dynamic Sparse Grid Approach for Perona-Malik Equation by Shu-Li Mei, De-Hai Zhu

“…In order to decrease the calculation amount introduced by the change of the external grid points, the Newton interpolation technique is employed instead of the traditional Lagrange interpolation operator, and the condition number of the discretized matrix different equations is taken into account of the choice of the external grid points. …”
Get full text

The $ L_1 $-induced norm analysis for linear multivariable differential equations by Junghoon Kim, Jung Hoon Kim

“…Furthermore, the $ l_1 $-induced norm of difference equations was tackled in a parallel fashion. Finally, numerical studies were given to demonstrate the overall arguments.…”
Get full text

A new finite difference algorithm for boundary value problems involving transmission conditions by Semih Çavuşoğlu, Oktay Sh. Mukhtarov

“…The finite difference method (FDM) is used to find an approximate solution to ordinary and partial differential equations of various type using finite difference equations to approximate derivatives. The idea is to replace ordinary or partial derivatives appearing in the boundary-value problem by finite differences that approximate them. …”
Get full text

Aspects of rotating anisotropic dark energy stars by O. P. Jyothilakshmi, Lakshmi J. Naik, V. Sreekanth

“…By numerically solving the rotating stellar structure equations in presence of anisotropy, we analyse and quantify various properties of dark energy stars such as mass (M), radius, mass deformation, angular momentum (J), moment of inertia, and quadrupole moment (Q), for three different equation of state parameters. We find that anisotropic slow rotation results in significant deformation of stellar mass and thereby affects other global properties studied. …”
Get full text

Evolution of Electoral Preferences for a Regime of Three Political Parties by María Guadalupe Medina Guevara, Héctor Vargas Rodríguez, Pedro Basilio Espinoza Padilla, José Luis Gozález Solís

“…The model can be reduced to a pair of coupled nonlinear difference equations, making extracting analytical results possible: a theorem on the conditions governing the existence of consensus in this new artificial society. …”
Get full text

A simplified version of the method of calculation of multilayer composite rods according to the theory of A.R. Rzhanitsyn by V. V. Filatov, Thi Linh Quyen Hoang

“…To solve the system of differential equations, both in Rzhanitsyn’s formulation and in a simplified formulation, difference equations of the method of successive approximations (MSA) are used.Results. …”
Get full text

Formulas for Generalized Two-Qubit Separability Probabilities by Paul B. Slater

“…We find number-theoretic-based formulas for the upper (uik) and lower (bik) parameter sets of these functions and, then, equivalently express G2k(α) in terms of first-order difference equations. Applications of Zeilberger’s algorithm yield “concise” forms of Q(-1,α), Q(1,α), and Q(3,α), parallel to the one obtained previously (Slater 2013) for P(0,α)=2Q(0,α). …”
Get full text

The Performance of Equations That Estimate Glomerular Filtration Rate against Measured Urinary Creatinine Clearance in Critically Ill Patients by Hasan M. Al-Dorzi, Abdulmajeed A. Alsadhan, Ayman S. Almozaini, Ali M Alamri, Hani Tamim, Musharraf Sadat, Lolowa Al-Swaidan, Elwaleed Elhassan, Yaseen M. Arabi

“…The correlations between the different equations and CrCl24h-urine were modest (r: 0.62 to 0.79; p<0.0001). …”
Get full text