1116 research outputs found
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Eight-Order Implicit Block Method With Two Off-Step Points for Stiff Ordinary Differential Equations
No full textIn this work, we derived eight-order, implicit block formula using backward differentiation method with two off-step points for solving stiff ordinary differential equations. We solve some standard set of stiff initial value problems (IVPs) using the new method. We then compared the numerical results with the existing methods which have solved the same set of ivps. We have also verified the consistency, order and stability of the method whereby, method is found to be A-stable and consistent
On Some Properties of Quantum Stochastic Multivalued Operators
No full textThis paper explores the properties of multivalued maps associated with quantum stochastic operators as formulated by Hudson and Parthasarathy. We focus on key aspects including the measure of noncompactness, continuity of multivalued operators, and the condensing property. Also, we consider measurability, strong measurability, the Castaining representation, and the Lusin property. These findings contribute to a deeper understanding of the behavior of multivalued operators in quantum stochastic analysis and highlight the interconnectedness of these properties within the framework of quantum stochastic analysis. By investigating this properties, our work provides valuable insights that could inform future research and enhance the theoretical foundation of quantum stochastic processes
A Diffusion-Reaction Model for the Spread and Control of an Infectious Disease: A Case Study of Meningitis Outbreak in Zamfara State, Nigeria
No full textInfectious diseases abound in the world, affecting and even claiming the lives of many of their victims. Many researches have been conducted with the goal of proffering how to curtail or control the spread of the diseases. A diffusion-reaction model is herein proposed for the spread and control of an infectious disease. A numerical approach is considered for the solution of the proposed model. With the aid of data generated from an instance of meningitis outbreak, the rate of spread of the disease and the quantity of treatment, to apply to control the disease, are determined
A Study of Yoruba-English Proverb Correspondent Strategies in Niyi Ọṣundare’s "Dialogue with my Country"
No full textProverbs are conventionalized expressions whose meanings and usage are context-sensitive. Yorùbá proverbs, like those in many other African societies, function as a powerful rhetorical device to code, embellish, and support arguments, thereby shaping moral consciousness and beliefs. They are essential tools for a skillful bilingual writer like Ọ̀ṣúndáre, who seamlessly manipulates both Yorùbá and English. While the cultural differences between English and Yorùbá people can complicate the transfer of certain ideas, universal concepts such as honesty, love, bravery, and hard work transfer easily. This study adopts Roman Jacobson’s approach to translation equivalence to examine Ọ̀ṣúndáre's essays in Dialogue with my Country. The objectives are to identify instances of Yorùbá proverbs used, analyze how their use constitutes the writer's idiosyncratic ability, and identify the categories of ideas that lend themselves easily to transfer. Using a purposive sample of fifty proverbs selected from fifty percent of the collection’s one hundred essays, findings reveal that Ọ̀ṣúndáre masterfully weaves the traditional elements of Yorùbá proverbs into the English language to represent the current experiences of the people. This is achieved without flaunting English linguistic rules while still maintaining the import of their Yorùbá essence. This corroborates the notion that when two languages have linguistic correspondences, transfer is easy and does not affect the meaning conveyed
NUMERICAL APPROXIMATION OF OPTIMAL CONTROL PROBLEMS CONSTRAINED BY DYNAMIC EQUATIONS VIA GALERKIN METHOD
No full textThe research investigates the application of the Galerkin method to optimal control problems constrained by coupled dynamic equations. These constrained problems are reformulated into unconstrained ones using the Hamiltonian approach, which facilitates the determination of boundary conditions for both the state and costate variables. By assuming a polynomial solution, the weighted and residual functions were derived. The Orthogonality of the product of these functions leads to the formation of a system of linear equations. Solving these equations provides the solution for the boundary conditions through direct substitution. This scheme was developed for the Lagrange form of optimal control problems to assess its accuracy in approximating exact solutions. Several optimal control problems with known exact solutions were solved using the proposed scheme, and the results were compared to evaluate its effectiveness.
 
SOLUTION TO THE PROBLEM OF REGULAR MAPS ON BOUNDED LOJID ALGEBRAS
No full textLojid algebras are algebras of type (2,0). Regular maps play a vital role in the study of bounded lojid algebras. They are particularly useful in conceptualizing ideals and subalgebras of lojid algebras. It is therefore important to find a set system through which they can be studied. This paper primarily concerns the development of a set system that accounts for the study of all regular maps on bounded lojid algebras and also to solve the open problem that arose in the study of the theory of lojid algebras
ALGEBRAIC PROPERTIES OF MONOGENIC SOFT QUASIGROUPS
No full textThis paper explores the properties of soft monogenic quasigroups, a class of algebraic structures that combine soft set theory and quasigroups. We define soft monogenic quasigroups and investigate their generation criteria, structural properties, and invariance under automorphism. Our results contribute to the advancement of soft algebraic structures, with potential applications in fields like cryptography and coding theory. We establish key characteristics of soft monogenic quasigroups, including their generation by a single element and structural invariance. This work lays the foundation for further research in soft quasigroups and their applications
BREAKING THE CYCLE: CLASSROOM MANAGEMENT STRATEGIES TO CURB INDISCIPLINE AND FOSTER ACADEMIC ACHIEVEMENT
No full textThis paper addresses the critical nexus between student indiscipline and academic underachievement in Nigerian schools. Confronting manifestations such as truancy and poor engagement, the study argue that proactive classroom management is the essential channel for a breakthrough. The analysis identifies the root causes of this crisis, including inconsistent teaching practices and socio-environmental factors, and demonstrates how they are compounded by poor classroom management. Central to our thesis is the evidence that teachers who employ empathetic, adaptable, and authoritative management strategies can create a disciplined environment where learning thrives. Ultimately, we assert that improving classroom management is not merely an administrative task but the cornerstone of educational reform. The paper concludes with targeted recommendations for teacher training, student support systems, and instructional leadership to cultivate the disciplined, engaging, and achievement-oriented classrooms that Nigerian students require
Multiple Regression Analysis of the Impact of some Selected Macro - Economic Variables on the Gross Domestic Product (GDP)
No full textThe economy of many nations is dwindling with the recent happenings in the globe. This development has made macro-economic variables unpredictable and volatile. Understanding theinterrelationships between GDP and key macroeconomic variables is pivotal for navigating economic challenges, fostering sustainable growth, and enhancing overall economic stability. Thisstudy employs multiple linear regression analysis to investigate the relationship between GrossDomestic Product (GDP) as the dependent variable and four prominent macroeconomic indicators namely, inflation rate, interest rate, exchange rate, and the all- share index as independentvariables. Utilizing a robust dataset spanning historical records of GDP and corresponding dataon inflation rates, interest rates, exchange rates, and stock market performance, this researchevaluated the quantitative impact and significance of these variables on GDP. The model obtained is GDP = 22.995˘0.265INF + 2.452INT + 0.75EX −0.323ASI.. The analysis revealedcompelling results that indicate a statistically significant relationship between GDP and theselected macroeconomic factors. The findings suggested that inflation rate, interest rate, andexchange rate exhibit varying degrees of influence on GDP, with inflation rate demonstrating amoderately negative impact, while interest rate and exchange rate display positive associationswith GDP fluctuations. It is recommended that policymakers should consider adopting measures to manage inflationary pressures while utilizing interest rate and exchange rate policiesstrategically to stimulate economic growth
Convergence of Implicit Noor Iteration in Convex b-Metric Space
No full textThe convergence to a fixed point and stability of the implicit Noor iteration in a convex b-metricspace is established in this work. The class of mappings considered here is an extension of aclass of weak contractions which has been used by several authors to obtain quite interestingresults on the existence of unique fixed points as well as convergence and stability of iterativeschemes in the literature