Abstract: Multilevel multi-leader multi-follower games address compromises among multiple interacting decision agents within a hierarchical system in which multiple followers are involved at each lower-level unit and more than one decision maker (multiple leaders) are involved in the upper-level. The leaders' decisions are affected not only by reactions of the followers but also by various relationships among the leaders themselves. In general, multiple-leaders multiple-followers (MLMF) game...
Abstract: We introduce a new method to compute plant distribution in Ethiopia under paleoclimatic conditions using fuzzy logic. Using a published map of the potential vegetation for Ethiopia we decipher the boundary conditions for the main vegetation units shown, reflecting modern climatic conditions for temperature and precipitation in this region. Fuzzy logic using these climatic values on a GIS platform then derived the computational map of the potential vegetation. Comparing it with the ...
Abstract This study utilized combination of phase plots,time Steps distribution and adaptive time steps Runge-Kutta and fifth order algorithms to investigate a harmonically Duffing oscillator.The object is to visually compare fourth and fifth order Runge-Kutta algorithm performance as took for seeking the chaotic solutions of a harmonically excited Duffing oscillator.Though fifth order algorithms favours higher time steps and as such faster to execute than fourth order for all studied cases.T...
I observed my Student Industrial Work Experience Scheme at Nigerian Institute of Social and Economic Research (NISER), Ibadan, Oyo State, Nigeria. During my SIWES, I was able to learn how to make use of some complex statistical (computational) packages in coding and analyses of data, either primary data or secondary data. And I also learned how to interpret analyzed data for end users. Furthermore, I saw the practical applications of Mathematics to solve problems in organizations, companie...
The study of traffic models has given rise to many models with the aim of realistically determining the behavior of traffic. The dynamics of the macroscopic traffic flow is modeled by a partial differential equation, where the object of study is to determine the density of traffic flow. We derived a second order macroscopic traffic flow model equation from a first order one using the Fick’s law of diffusion. We formulated second order macroscopic traffic flow model equation with a sourc...
This paper investigates the efficacy of the shooting method and finite difference method in the numerical solution of two point boundary value non linear problems. The difficulty in providing exact solutions to two point boundary value problems via analytical methods necessitated the study. The shooting method which utilizes the Runge-Kutta method as integrator provides us with a better approximation to the solution than the finite difference method which utilizes second order, central differ...
A new formula based on forward difference operator is derived herein, the formula is used to compute the nth term and sum (Sn) of an Arithmetic progression. The merit of using the formula is that if given , the nth term of an A.P can be easily and quickly computed if n is not known.