School of Physical Sciences (SPS)
Permanent URI for this communityhttp://197.211.34.35:4000/handle/123456789/36
School of Physical Sciences (SPS)
Browse
Item 2D ELECTRICAL RESISTIVITY IMAGING INVESTIGATION ON CAUSES OF ROAD FAILURE ALONG KUTIGI STREET, MINNA, NORTH CENTRAL, NIGERIA(American Journal of Innovative Research and Applied Sciences. ISSN 2429-5396 I www.american-jiras.com, 2018) ADETONA, Adebayo Abbass, Joshua Ebuga Peter, Rafiu A.A., Udensi E.E, Salako K. A, Alhassan U.DBackground: Road failure is most common in developing countries and this has led to the loss of billions of dollars over decades due to either poorly constructed road and under maintained roads. The consequent daily loss of human life and economically significant properties, should make road failure an alarming issue to the Nigerian Government. A proper geophysical investigation must be conducted on the road to examine the subsurface soil characteristics Objectives: Consequently, this study investigate the causes of road failure along Kutigi Street to determine the geo-electric properties of the subsurface of the study area. Methods: The technique employed for this study was 2D Electrical Resistivity Wenner Array Method. Two profiles covering a distance of 300 meters each were established parallel to the road pavement along the stable and unstable sections of the road. Data were collected along the two profile using ABEM Terra meter SAS 4000. The observed field data were processed and inverted using 2-D modelling inversion algorithm (RES2DINV Software). Results: The results reveals the presence of low resistivity values at several portion of both profile A and Profile B. Resistivity values ranging from 9.25 Ωm – 115.30 Ωm to a depth of 11.25 m from the topsoil was observed along profile A and resistivity values ranging from 5.20 Ωm – 25.6 Ωm to a depth of 11.25 m from the topsoil was observed along profile B. Conclusions: The low resistivity values observed in both profiles comprises of expansive clay and sandy clay materials which has the tendency of absorbing water. These makes them swell and eventually collapse under imposed wheel load stress which leads to failure. Regions of the road with sandy and clayey materials should be excavated from the subsurface to a depth of 4 m – 6 m from the topsoil of the road and replaced with competent fill materials.Item 4-Step Block Hybrid Backward Differentiation Formula For Solving Second Order (BHBDF II) Ordinary Differential Equations(2024) Hussaini Hajarat; Muhammad Raihanatu; Yusuf AbdulhakeemThis research work presents the derivation and implementation of a 4-step linear multistep method of block hybrid backward differentiation formula for solving nonlinear second-order initial value problems of ordinary differential equations. Collocation and interpolation methods are adopted in the derivation of the proposed numerical scheme where the legendary polynomial is adopted as a basic function. The 4-step BHBDF has higher order of accuracy p = 11 which implies that it is consistent. The proposed numerical block method is further applied to finding direct solution to nonlinear second order ordinary differentiation equations. This implementation strategy is more accurate than some existing methods considered in the literature.Item A Homotopy-Perturbation analysis of the non-linear contaminant transport problem in one dimension with an initial continuous point source.(NIGERIAN JOURNAL OF TECHNOLOGICAL RESEARCH (NJTR), 2013-02-28) Aiyesimi, Y. M.; JIMOH, OMANANYI RAZAQIn this research work, a Homotopy-perturbation analysis of a non –linear contaminant flow equation with an initial continuous point source is provided. The equation is characterized by advection, diffusion and adsorption. We assume that the adsorption term is modeled by Freudlich Isotherm. We provide an approximation of this equation using homotopy-perturbation transformation and solve the resulting linear equations analytically by homotopy-perturbation method. Graphs are plotted using the solution obtained from the method and the results are presented, discussed and interpreted. The research findings show that the concentration increases with time and decreases as distance increases.Item A 3-Person Non-Zero-Sum Game for Sachet Water Companies(Asian Research Journal of Mathematics, 2022-08-12) Nyor, N.; Muazu, M. I.; Somma, Samuel AbuThe business of Sachet water (popularly called pure water) in Nigeria is often competitive due to the high demand for Sachet water by the populace. This is so because sachet water is the most affordable form of pure drinking water in Nigeria. As such, Sachet Water Firms that want to succeed in an ever increasing competitive market need to have the knowledge of Game Theory to identify which strategy will yield better profit independent of the strategy adopted by other competitors. This paper is aimed to investigate and determine the equilibrium point for three Sachet Water Firms using the Nash Equilibrium Method as it provides a systematic approach for deciding the best strategy in competitive situation. The result showed two Nash Equilibriums (promo, promo) and (stay-put, stay-put) with their respective payoffs of (82; 82; 82) and (147; 147; 147).Item A COMPARATIVE ANALYSIS OF TWO SEMI ANALYTIC APPROACHES IN SOLVING SYSTEMS OF FIRST-ORDER DIFFERENTIAL EQUATIONS(Mehmet Akif Ersoy University, Turkey., 2024-06-29) Khadeejah James Audu; Onifade BabatundeThe resolution of systems of first-order ordinary differential equations (ODEs) is a critical endeavor with extensive applications in various scientific and engineering fields. This study presents a rigorous comparative assessment of two semi-analytic methodologies: the Variational Iterative Method (VIM) and the New Iterative Method (NIM). Addressing a significant research gap, our investigation explores the relative merits and demerits of these approaches. We provide a comprehensive examination of VIM, a well-established method, alongside NIM, a relatively less explored approach, to identify their comparative strengths and limitations. Furthermore, the study enriches existing knowledge in numerical methods for ODEs by highlighting essential performance characteristics such as convergence properties, computational efficiency, and accuracy across a diverse array of ODE systems. Through meticulous numerical experimentation, we uncover practical insights into the efficacy of VIM and NIM, bridging a critical knowledge gap in the field of numerical ODE solvers. Our findings demonstrate VIM as the more effective method, thereby enhancing the understanding of semi-analytic approaches for solving ODE systems and providing valuable guidance for practitioners and researchers in selecting the most appropriate method for their specific applicationsItem A comparative study of the radiation dose response of (ZnO)x(TeO2)1-x thin films for high energy X-ray application(ELSEVIER, 2025) M.M. Idris; OLARINOYE, OYELEKE; Kolo, M. T.,; S.O. Ibrahim; U. Rilwanc; M.I. SayyeddThe current research work determines the X-ray radiation effects on the current–voltage (I-V) characteristics of zinc oxide-doped tellurium dioxide thin film as a dosimetric material for X-ray detection and measurement. Five thin-film samples of (ZnO)x(TeO2)1-x (where x =0.0 wt% (D1), 0.2 wt% (D2), 0.4 wt% (D3), 0.6 wt% (D4), and 1.0 wt% (D5)) were prepared with an aqueous solution of zinc acetate dehydrate and tellurium dioxide precursor on a soda-lime glass substrate using the spray pyrolysis technique. XRD study revealed a polycrystalline structure of the films and showed diffraction peaks belonging to paratellurite TeO2 and wurtzite ZnO in all film samples. A peak shift was observed, indicating the presence of ZnO in the TeO2 crystal lattice. FESEM imagery revealed roughness and the film grain size, which decreased when the concentration of ZnO increased. The optical assessment showed superior transparent behavior in the spectrum of visible light and a minor fall in the optical band-gap value when the concentration of ZnO increased. The I-V characteristic obtained for all the thin-film samples showed a linear increase of current as a function of the applied voltages and X-ray doses ranging from 0.0 to 6.0 V and 50–250 cGy, respectively. The I-V characteristic response of the thin-film samples studied were in the order of D3 >D1 >D2 >D4 >D5. The thin films’ dosimetric sensitivity (minimum measurable dose) values were in the range of 0.610–2.180 mAcm2Gy 1 (0.4590–1.6390 mGy) for D1, 0.370–0.940 mAcm2Gy 1 (1.0640–2.7030 mGy) for D2, 0.610–2.280 mAcm2Gy 1 (0.4390–1.6390 mGy) for D3, 0.00200–0.005280 mAcm2Gy 1 (189.3940–357.1430 mGy) for D4, and 0.00040–0.00150 mAcm2Gy 1 (250.0000–666.6670 mGy) for D1. The R2 value (linearity error) of the I-V plots were in the range of 0.879–0.951 (0.0025–0.0057) for D1, 0.966–0.998 (0.0006–0.0025) for D2, 0.869–0.913 (0.0035–0.0065) for D3, 0.860–0.952 (0.000009–0.00005) for D4, and 0.922–0.978 (0.000002–0.000004) for D5. The ZnO-TeO2 thin-film sensor is therefore a candidate material that can be used for miniaturized radiation measuring devices that can be accommodated in smart devices such as smart watches and smart phonesItem A comprehensive investigation on the role of PbO in the structural and radiation shielding attribute of P2O5 – CaO – Na2O – K2O – PbO glass system.(SPRINGER, 2021) Al-Harbi, N., Sayyed, M. I., Kumar, A., Mahmoud, K. A.,; OLARINOYE, OYELEKE; Alhuthali, A. M., & Al-HadeethiThis study presents the synthesis, physical, structural and gamma-ray shielding characteristics of 40P2O5–20CaO–(30-x)Na2O-10K2O–xPbO (x = 0, 5, 10, 15, 20 mol%) glasses. The glass samples coded as PbCKNP1, PbCKNP2, PbCKNP3, PbCKNP4, and PbCKNP5 were prepared using the melt quench method. Na2O substitution by PbO influenced the molar volume and mass density of the glasses. Structural analysis of the glasses using the X-ray diffraction (XRD) and Fourier transform infrared (FTIR) spectroscopy confirmed amorphous structure. The photon shielding parameters of the glasses examined via the Monte Carlo simulation code (MCNP-5) revealed that the glasses’ shielding ability improved as PbO content increased. The highest simulated linear attenuation coefficient (LAC) achieved at 0.015 MeV increased from 21.46 to 159.07 cm-1 as the PbO concentration increased from 0 and 20 mol%. The LAC for all fabricated glass samples showed an exponential reduction trend with gamma photon energy. Based on the simulated LAC values, calculated mass attenuation coefficient (MAC), half-value layer (HVL), transmission factor (TF), and radiation shielding capacity (RSC), PbCKNP5 possessed the best gamma-ray protection ability among the investigated glasses.Item A decomposition approach for magnetohydrodynamics stagnation point flow over an inclined shrinking/stretching sheet with suction/injection(International Journal of Mathematical Analysis and Modelling, 2023-09-27) A. Yusuf; G. Bolarin; F. A. Oguntolu; M. Jiya; Y. M. AiyesimiIn this paper, the approximate solution to Magnetohydrodynamics Stagnation Point Flow over an inclined Shrinking/Stretching Sheet with Suction/injection was analyzed via the Adomian Decomposition. The governing partial differential equations (PDEs) were reduced with the help of similarity variables to non linear coupled ordinary differential equations (ODEs). The effects of various pertinent parameters were presented numerically and graphically. Numerical comparisons were carried out with the existing literature and a good agreement was established. The angle of inclination was found to enhance the velocity profile.Item A Global Asymptotic Stability of COVID-19 Diabetes Complication Free Equilibrium(Journal of Science, Technology, Mathematics and Education (JOSTMED), 2024-03-25) Yusuf, A,; Akinwande, N. I.; Olayiwola, R. O.; Kuta, F. A.; Somma, Samuel AbuIn this paper, a Mathematical modelling of COVID-19 incorporating the comorbidity of Diabetes was established base on the accompanying assumptions, a global asymptotic of the same model was developed by applying the theorem of Castillo-Chavez by fixing a point to be globally asymptotic stable equilibrium of the system, provided that and the two set conditions are satisfied. It is very clear that so the conditions are not met. Hence, may not be globally asymptotically stable when .Item A groundwater-based irrigation modeling system that optimizing water use efficiency and ensuring long-term sustainability of groundwater resources.(Maths Model Research Group, FUT, Minna, Nigeria, 2025-03-20) Y. Y. Alheri; N. Nyor; Khadeejah James AuduItem A Mathematical Model Analysis of Meningitis with Treatment and Vaccination in Fractional Derivatives(Springer Science and Business Media LLC, 2022-04-26) Olumuyiwa James Peter; Abdullahi Yusuf; Mayowa M. Ojo; Sumit Kumar; Nitu Kumari; Festus Abiodun OguntoluIn this paper, we develop a new mathematical model based on the Atangana Baleanu Caputo (ABC) derivative to investigate meningitis dynamics. We explain why fractional calculus is useful for modeling real-world problems. The model contains all of the possible interactions that cause disease to spread in the population. We start with classical differential equations and extended them into fractional-order using ABC. Both local and global asymptotic stability conditions for meningitis-free and endemic equilibria are determined. It is shown that the model undergoes backward bifurcation, where the locally stable disease-free equilibrium coexists with an endemic equilibrium. We also find conditions under which the model’s disease-free equilibrium is globally asymptotically stable. The approach of fractional order calculus is quite new for such a biological phenomenon. The effects of vaccination and treatment on transmission dynamics of meningitis are examined. These findings are based on various fractional parameter values and serve as a control parameter for identifying important disease-control techniques. Finally, the acquired results are graphically displayed to support our findings.Item A Mathematical Model for Estimating the Weight of Human Beings Using Some Anthropometric Parameters (A Case Study of Taraba State of Nigeria’s Community)(British Journal of Mathematics & Computer Science, 2015-03-27) Ogwumu, O. D.; Amoo, S. A.; Eguda, F. Y.; Adeyefa, E. O.; Abubakar, SamuelThe research is concerned with the development of a mathematical model for estimating the body weight of human beings in relation to some of their anthropometric parameters (height and waist sizes). The model was optimized to know whether it is possible for humans to have a maximum or minimum body weight. However, the optimization result showed that there is no specific body weight that could be called a maximum or minimum. Emphasis was laid mainly on a particular proportion of Nigerians from the north- west geopolitical zone (as a case study ) in order to be able to make generalizations about the entire country and beyond. Hence, the population sample for the research was the Taraba State of Nigeria’s Community. Moreover, several recommendations were made at the end of the model analysis which when adhered to, would bring about some medical breakthroughs to the entire human populace.Item A Mathematical Model for Water Quality Assessment: Evidence-Based from Selected Boreholes in Federal University Dutse, Nigeria(UMYU Scientifica, 2023-12-30) Eguda, F. Y.; Amoo, A. O.; Adamu, S. B.; Ogwumu, O. D.; Somma, Samuel Abu; Babura I. B.The present study assessed the quality of water sampled from different boreholes on the campus of Federal University Dutse, Nigeria, using a mathematical modelling approach. A model for estimating water quality was developed based on physicochemical parameters such as pH, electrical conductivity, temperature, turbidity, and total hardness measured from each borehole. The correlation analysis of physicochemical data indicates a strong correlation of about 99% between the real-life data collected from six (6) different boreholes and the model’s predictions. From the results, the sensitivity analysis revealed that electrical conductivity plays the highest role in determining water quality, followed by total hardness, temperature has the third highest impact, followed by turbidity, the fourth, and pH has the least impact in determining water quality in the listed boreholes. Therefore, in any case of intervention, the water quality regulatory body should be sent regularly to the tertiary institutions in the state for routine check-ups.Item A Mathematical Model of a Yellow Fever Dynamics with Vaccination(Journal of the Nigerian Association of Mathematical Physics, 2015-11) Oguntolu, F. A.; Akinwande, N. I.; Somma, Samuel Abu; Eguda, F. Y.; Ashezua. T. T.In this paper, a mathematical model describing the dynamics of yellow fever epidemics, which involves the interactions of two principal communities of Hosts (Humans) and vectors (mosquitoes) is considered .The existence and uniqueness of solutions of the model were examined by actual solution. We conduct local stability analysis for the model. The results show that it is stable under certain conditions. The system of equations describing the phenomenon was solved analytically using parameter-expanding method coupled with direct integration. The results are presented graphically and discussed. It is discovered that improvement in Vaccination strategies will eradicate the epidemics.Item A MATHEMATICAL MODEL OF MEASLES DISEASE DYNAMICS(Journal of Science, Technology, Mathematics and Education (JOSTMED), 2012-08-25) Abubakar, Samuel; Akinwande, N. I.; Abdulrahman, S.In this paper a Mathematical model was proposed for measles disease dynamics. The model is a system of first order ordinary differential equations with three compartments: Susceptible S(t); Infected I(t) and Recovered R(t). The equilibrium state for both Disease Free and Endemic equilibrium are obtained. Conditions for stability of the Disease Free and Endemic equilibrium are obtained from characteristics equation and Bellman and Cooke theorem respectively. The hypothetical values were used to analyze the Endemic Equilibrium and the result was presented in tabular form. The results from the Disease Free and Endemic Equilibrium state showed that once the epidemic breaks out, the population cannot sustain it.Item A MATHEMATICAL MODEL OF MONKEY POX VIRUS TRANSMISSION DYNAMICS(Ife Journal of Science, 2019-06-10) Somma, Samuel Abu; Akinwande, N. I.; Chado, U. D.In this paper a mathematical model of monkey pox virus transmission dynamics with two interacting host populations; humans and rodents is formulate. The quarantine class and public enlightenment campaign parameter are incorporated into human population as means of controlling the spread of the disease. The Disease Free Equilibrium (DFE) and Endemic Equilibrium (EE) are obtained. The basic reproduction number R 0 < h and R 0r 1 and R 1 < are computed and used for the analysis. The Disease Free Equilibrium (DFE) is analyzed for stability using Jacobian matrix techniques and Lyapunov function. Stability analysis shows that the DFE is stable if .Item A Mathematical Modelling of Lymphatic Filariasis and Malaria Co-infection(Abubakar Tafawa Balewa University, 2022-06-25) F. A. Oguntolu; D. W. Yavalah; C. F. Udom; T. A. Ayoola; A. A. VictorLymphatic Filariasis (LF) and Malaria continue to pose significant public health burden globally and are co-endemic in many sub-Saharan African regions. In this work, we developed and analyzed a mathematical model of Lymphatic filariasis and malaria co-infection model. Friedman and Lunge method was used to find the positivity of the solution, the disease-free equilibrium was obtained, the model stability was analyzed, and the basic reproductive number was also obtained. The findings suggest that with the use of a bed-net and insecticide as a control measure, the treatment of LF and malaria co-infection can be reduced to a minimum.Item A Mathematical Study of Contaminant Transport with First-order Decay and Time-dependent Source Concentration in an Aquifer(Universal Journal of Applied Mathematics, 2013-11-05) Olayiwola, R. O.; Jimoh, O. R.; Yusuf, A.; Abubakar, SamuelA mathematical model describing the transport of a conservative contaminant through a homogeneous finite aquifer under transient flow is presented. We assume the aquifer is subjected to contamination due to the time-dependent source concentration. Both the sinusoidally varying and exponentially decreasing forms of seepage velocity are considered for the purposes of studying seasonal variation problems. We use the parameter-expanding method and seek direct eigenfunctions expansion technique to obtain analytical solution of the model. The results are presented graphically and discussed. It is discovered that the contaminant concentration decreases along temporal and spatial directions as initial dispersion coefficient increases and initial groundwater velocity decreases. This concentration decreases as time increases and differs at each point in the domain.Item A Mathematical Study of Contaminant Transport with First-order Decay and Time-dependent Source Concentration in an Aquifer(Universal Journal of Applied Mathematics, 2013-12-10) Rasaq O. Olayiwola; JIMOH, OMANANYI RAZAQ; Abdulhakeem Yusuf; Samuel AbubakarA mathematical model describing the transport of a conservative contaminant through a homogeneous finite aquifer under transient flow is presented. We assume the aquifer is subjected to contamination due to the time-dependent source concentration. Both the sinusoidally varying and exponentially decreasing forms of seepage velocity are considered for the purposes of studying seasonal variation problems. We use the parameter-expanding method and seek direct eigenfunctions expansion technique to obtain analytical solution of the model. The results are presented graphically and discussed. It is discovered that the contaminant concentration decreases along temporal and spatial directions as initial dispersion coefficient increases and initial groundwater velocity decreases. This concentration decreases as time increases and differs at each point in the domain.Item A Mathematical Study of HIV Transmission Dynamics with Counselling and Antiretroviral Therapy(International Journal of Scientific and Innovative Mathematical Research (IJSIMR), 2015-02) F. A. Oguntolu; R. O. Olayiwola; A. O. BelloIn this paper, a mathematical model of HIV transmission dynamics with counseling and Antiretroviral therapy (ART) as a major means of control of infection is presented. The existence and uniqueness of solutions of the model were examined by actual solution. The stability analysis of the critical points was conducted. The results show that it is globally asymptotically stable under certain conditions. The systems of equations were solved analytically using parameter-expanding method coupled with direct integration. The results are presently graphically and discussed. It is discovered that the parameters involved play a crucial role in the dynamics of the diseases which indicate that ART and counseling could be effective methods in the control and eradication of HIV.