Iterative methods for approximate solution of the Ornstein- Uhlenbeck process with normalised brownian motion

This work considers the concept of the Normalised Brownian motion for the solutions of the Ornstein-Uhlenbeck process using the Daftardar-Jafari Method (DJM) and Picard Iterative Method (PIM) as the approximate-analytical methods of solutions. The results obtained from DJM are compared with those of the PIM. The obtained results, therefore, show the effectiveness of the proposed method

Relationship Between the Standard of Living, Economic Situation, and Security Situation of Nigerians During The Covid-19 Pandemic. A Non-Parametric Analysis Approach

The Covid-19 pandemic has crippled the economic activities of so many nations across the globe since its outbreak in 2019. This study is focused on the resultant effect of the covid-19 pandemic in terms of standard of living, perception of economic and security situation of Nigerians. This study used a non-parametric approach involving Spearman rank correlation and Mann-Whitney U to analyze primary data acquired from NoiPolls’ online administration of questionnaires during the Covid-19. The result obtained from this study depicts that there is a significant relationship between the security situation and perception of the country’s economic situation. The standard of living of Nigerians was studied alongside their perception of the economic situation and we observed that there is a significant relationship between these two. This was also examined based on gender, the Mann-Whitney U test was used to check if there exists any form of difference between males and females based on the security situation, economic perception, and standard of living. The test result showed that there is no significant difference in the standard of living of both males and females but significant differences were observed in the economic perception and security situations. A bar chart was further used to visually assess these differences where it is seen that females feel more secure compared to males and females feel less satisfied with the country’s economic situation compared to the males

ON STABILITY OF QUANTUM STOCHASTIC DIFFERENTIAL EQUATION

The long run behaviour of solutions of Lipschitzian quantum stochastic differential equation (QSDE) with non-instantaneous impulse is studied. This is achieved by imposing some conditions on the coefficients associated with the map P. Using the fixed point approach, we show that a solution exists under the given conditions and subsequently establish Ulam's type stability. We present some examples to further justify its application

Iterative methods for solving Riccati differential equations

This work considers the approximate solution of the Riccati differential equations (RDEs). For ease of computation, the iterative methods applied are the Daftardar-Gejji and Jafari Method (DJM) and the Picard Iteration Method (PIM). The results obtained via the DJM are compared with those from PIM. The comparison shows that both methods are in agreement with the corresponding exact form. The Picard approach transforms the differential equation into an interconnected form; though, Lipschitz's criterion of consistency but satisfied

On the Performance of Dirichlet Prior Mixture of Generalized Linear Mixed Models for Zero Truncated Count Data

In this study, the performance of Dirichlet Process Mixture of Generalized Linear Mixed Models (DPMGLMMs) was examined against some competing models for fitting zero-truncated count data. The Bayesian models such as Monte Carlo Markov Chain GLMMs, Bayesian Discrete Weibull and the frequentists models such as Zero truncated Poisson, Zero truncated Binomial and Zero truncated Geometric models were compared with the proposed DPMGLMMs model. Simulation and life count data from health domain was used to compare the performance of DPMGLMM with the Bayesian and frequentist models considered in this study. The results showed that the DPMGLMM outperformed other models considered for fitting count data that is truncated at zero

Elzaki decomposition method for approximate solution of a one-dimensional heat model with axial symmetry

This paper considers the application of the Elzaki Decomposition Method (EDM) for approximate solution of a one-dimensional heat model with axial symmetry. By the proposed EADM, the series solutions of the sampled cases are obtained with ease and high level of accuracy as regards less computational time. These results, therefore, show the effectiveness of the proposed method

Frobenius method for the solution of Klein-Gordon-Fock equation with equal scalar and vector oscillator plus potential

In this paper, the solution of Klein Gordon Equation is sought. Frobenius method was used to solve the Klein Gordon (KG) equation with equal scalar and vector harmonic oscillator plus inverse quadratic potential for s - waves. A corresponding un-normalized wavefunction was obtained for the Frobenius equation in the form of a power series

Relationship Between the Standard of Living, Economic Situation, and Security Situation of Nigerians During The Covid-19 Pandemic. A Non-Parametric Analysis Approach

The Covid-19 pandemic has crippled the economic activities of so many nations across the globe since its outbreak in 2019. This study is focused on the resultant effect of the covid-19 pandemic in terms of standard of living, perception of economic and security situation of Nigerians. This study used a non-parametric approach involving Spearman rank correlation and Mann-Whitney U to analyze primary data acquired from NoiPolls’ online administration of questionnaires during the Covid-19. The result obtained from this study depicts that there is a significant relationship between the security situation and perception of the country’s economic situation. The standard of living of Nigerians was studied alongside their perception of the economic situation and we observed that there is a significant relationship between these two. This was also examined based on gender, the Mann-Whitney U test was used to check if there exists any form of difference between males and females based on the security situation, economic perception, and standard of living. The test result showed that there is no significant difference in the standard of living of both males and females but significant differences were observed in the economic perception and security situations. A bar chart was further used to visually assess these differences where it is seen that females feel more secure compared to males and females feel less satisfied with the country’s economic situation compared to the males

Analysis of Reported Cases of Diabetes Disease in Nigeria: A Survival Analysis Approach

The goal of this study is to look at the survival time distribution for diabetes patients at the National Hospital Abuja, taking into account a variety of variables. The Kaplan Meierestimator indicated that there is no statistically significant difference in the distribution of survival time by sex, despite the fact that married patients were seen to live longer than single patients. Patients in urban and rural areas had the same estimated survival distribution after testing. It is observed that the Cox proportional model was significant when tested since the pvalue = 0.000 was less than the 0.05 threshold. The distribution of survival time for patients with diabetes is shown to be substantially different for patients of the four age categories included in the study, indicating that the relative risk of patients is based on age. Every patient is predicted to acquire the danger at about the same time, with no sex-related multiplication impact. It was found out that the disease's prevalence is unaffected by several of the variables studied, indicating that more regular medical checks are required

Coupled FCT-HP for Analytical Solutions of the Generalized Timefractional Newell-Whitehead-Segel Equation

This paper considers the generalized form of the time-fractional Newell-Whitehead-Segel model (TFNWSM) with regard to exact solutions via the application of Fractional Complex Transform (FCT) coupled with He’s polynomials method of solution. This is applied to two forms of the TFNWSM viz: nonlinear and linear forms of the time-fractional NWSM equation whose derivatives are based on Jumarie’s sense. The results guarantee the reliability and efficiency of the proposed method with less computation time while still maintaining high level of accuracy