http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/119 Sun, 03 May 2026 00:25:24 GMT 2026-05-03T00:25:24Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/30105 Title: The Comparison of the Numerical and Analytical Solutions of Boundary Value Problems Using Finite Difference Method Authors: Salihu, N. O Abstract: Finite-difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. In this research work, we have demonstrated the numerical methods for solving ordinary differential equations, starting with basic techniques of finite difference method for boundary value problem. We used finite difference method to provide numerical solutions for the boundary value problem and the results are compared with exact solution. The graphical summaries of the system responses are provided in this paper. Tue, 08 May 2018 00:00:00 GMT http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/30105 2018-05-08T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/30104 Title: Effects of Pollutants and Atmospheric Temperature Rise on Agriculture Authors: Aiyesimi, Y. M; Olayiwola, O. R; Salihu, N. O Abstract: Climate change is emerging as one of the most challenging problems facing the world in the 21st century. In this research work, a transient equation describing this phenomenon is presented. We assume the dusty fluid to be flowing over a flat plate while the other plate is at infinity. The dusty particles are to be uniformly distributed throughout the fluid. The two plates are to be electrically non-conducting and kept at constant temperatures. The equations to the phenomenon are solved analytically a self similarity solution and Frobenius method. The results obtained are presented graphically and discussed. It is discovered that temperature increases as the Hartman number due to pollutants increases. Tue, 03 May 2016 00:00:00 GMT http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/30104 2016-05-03T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/30103 Title: Computational Methods in Fluid Dynamics. Authors: Salihu, N. O Abstract: In this paper, the implicit finite difference schemes for solving two dimensional Navier-Stokes equations has been demonstrated. Different methods such as matrix reduction, diagonalization and flux split scheme are also introduced in the paper. The method used ensured that the methods are either time accurate or accelerated non-time accurate steady state schemes. Some examples for viscous calculation in this presentation were also given. The numerical algorithm for this presentation is treated as implicit time differencing and local time linerarizations. The author has also generalized the curvilinear coordinate transformation system into metric relations and invariants of the transformation in this paper. Tue, 23 Jun 2015 00:00:00 GMT http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/30103 2015-06-23T00:00:00Z http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/29993 Title: Stability Analysis of the Model of Solid Waste Management Authors: Abdurrahman, Nurat Olamide; Ibrahim, M.O.; Ibrahim, J.O. Abstract: Abstract: The dream of every nation is to have a nation where every scrap of trash is converted to valuable resources which can increase the gross domestic product (GDP). Waste management refers to the process of managing discarded waste materials that had served their purpose and are no longer useful. The research is aimed at converting waste to wealth. In this study, the model of solid waste management is presented as a system of equations with eight compartments. The model was checked for existence and uniqueness of solutions, the reproduction number was obtained using next generation matrix method, the stability analysis was performed and the graph of R0 against time was presented. Wed, 28 Aug 2024 00:00:00 GMT http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/29993 2024-08-28T00:00:00Z