Some Theorems on Integral and Rational Type Contractive Conditions in Dislocated Metric Space

In this article, we establish some coincidence points and common fixed point results on integral and rational type contractive conditions using E.A. and common limit range (CLR) properties in dislocated metric space.

The Parametrized Newton-Secant Method for Finding an Eigenpair of the Symmetric Quadratic Eigenvalue Problem in an Interval

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Structure of Mathematical Research

In this paper, we discuss about the structure of various components of mathematical research. We mainly focus on the structure of PhD proposal, PhD thesis and research article. We describe in detail about the standard structure of these components in the context of mathematics.

Formulative Visualization of Numerical Methods for Solving Non-Linear Ordinary Differential Equations

Many physical problems in the real world are frequently modeled by ordinary differential equations (ODEs). Real-life problems are usually non-linear, numerical methods are therefore needed to approximate their solution. We consider different numerical methods viz., Explicit (Forward) and Implicit (Backward) Euler method, Classical second-order Runge-Kutta (RK2) method (Heun’s method or Improved Euler method), Third-order Runge-Kutta (RK3) method, Fourth-order Runge-Kutta (RK4) method, and Butcher fifth-order Runge-Kutta (BRK5) method which are popular classical iteration methods of approximating solutions of ODEs. Moreover, an intuitive explanation of those methods is also be presented, comparing among them and also with exact solutions with necessary visualizations. Finally, we analyze the error and accuracy of these methods with the help of suitable mathematical programming software.

Statistical Convergence Estimates for (p, q)-Baskakov-Durrmeyer Type Operators

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Actuarial Technique of Modelling the Out of Pocket with Deductible and Stop Loss in Health Care Insurance

The paper is intended to numerically estimate health insurance out of pocket spending from the perspective of the enrollees in order to inform whether health insurance scheme pricing policy delivers value to the enrollees. We study the implications of financing health care insurance using a classification model for health care insurance under the framework of deductibles and stop loss. The paper is designed for health underwriting professionals, particularly those who consult for health insurance schemes. This is essential given the form and emergence of treating enrollees fairly, based on regulations that impact on actuarial consultants advising on health insurance scheme product lines. The objectives of this paper are to demonstrate actuarial methods for estimating (i) total health expenses (ii) out of pocket costs (iii) reimbursements by third party insurance. (iv) examine the actuarial implications of the chosen model. In computing the out of pocket and reimbursement, the Pitacco’s model was adopted because of its relatively computational superiority and the fact that both deductible and stop loss form its core parameters. Our results show that there is a positive relationship between total health expense and the share funded by out of pocket spending. As the health expenditure increases, the share funded by out of pocket progressively increases.

Mathematical Techniques of Modelling Salary-Based Health Care Contribution

This paper is intended to support reforms counteracting the adverse health insurance contribution trends through constructing an actuarially equitable salary-based health care system for experienced health insurance underwriters. The focus is on contribution technique employed by experts who consult for health insurance funds especially when performing official duties as health insurance actuary. The objective is to construct actuarial models of computing employee’s, employer’s and government’s contribution for health insurance care program in a way that permits generally equitable cost-efficient health insurance coverage within the framework of obtainable health benefits policy. Nigeria’s low economic growth rate and primitive technology resulted in an increasing rate of health care costs and consequently, quality health care at affordable prices is far from the reach of enrollees because of inequitable distribution of costs. In order to solve this problem, we constructed a health care model with a deterministic salary function structure to compute contribution on behalf of enrollees as a paradigm shift to an actuarial system of modelling contribution with a goal to building a sustainable health insurance delivery that encourages good health outcomes. From our results, the rate derived from our current model is far below the official rating of on employee’s salary which is not footed on actuarial basis and hence cheaper and more equitable to adopt.

Exponentiated Marshall-Olkin Exponential Distribution: Application of COVID-19 Second Wave in Nepal

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Analysis of Stability in Couple-Stress Magneto-Fluid

The aim of the present research was to study the effect of magnetic field on the layer of electrically conducting couple-stress fluid heated from below in porous medium. Following the linearized stability theory, Boussinesq approximation and normal mode analysis, the dispersion relation is obtained. The stationary convection, stability of the system and oscillatory modes are discussed. For the case of stationary convection, it is found that the couple-stress parameter and magnetic field have stabilizing effect on the system whereas the medium permeability has a destabilizing effect on the system. The magnetic field introduces oscillatory modes in the system which was non-existent in its absence. A sufficient condition for the non-existent of overstability is also obtained.

Performance Analysis of Service System in Health Care Network

This study is based on a case study research design. The approach for the study is adapted from Monte-Carlo simulation models. The study model can fit a finite number of patients who can join in the queue in different counters and performance of the selected counter in a particular time. The data are collected through direct observation with the help of a checklist. Out of 150 patients, 50 patients are observed in each new, old, and reserved (ex-army Indian pensioner and health insurance policy holder) counter. Our main findings are mean number of patients waiting in queue, mean number of patients in the system, mean time of patient waiting in queue, the time spent by a patient in the system, Average time that the server is idle, the percentage of the time that the server is busy. The study concludes that the service provided in the old counter is satisfactory to some extent. The research has been come up with the model design to estimate patients demand in the counters and it uses mean arrival time and mean service time.