| 1 |
Author(s):
Dr. Yakusak Nicholas S..
Page No : 1-16
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Numerical Approximation for Direct Solution of Third-Order Ordinary Differential Equations Using New Class of Falkner-Type Block Method
Abstract
In this article, a new class of Falkner-type methods for direct solution of third order ordinary differential equation is developed. The approach of collocation and interpolation technique is adopted to derive the new Falkner-type methods, which is implemented in block mode to get approximation at grids points simultaneously. The resulting scheme is zero-stable, consistent and convergent with good region of absolute stability. The tabular and graphical presentations of the numerical results to the problems considered, demonstrate the effectiveness and good accuracy of the scheme in comparison with other methods
| 2 |
Author(s):
Cecilia Omeiza, Cecilia Omeiza.
Page No : 34-40
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MHD: Mental Health Directory for Nigerian Schools
Abstract
Nigeria has been considered to have the highest number of depression cases in Africa. Young people, such as secondary school students are not exempt. While this is meant to be a serious public health concern, topics around student mental health are still largely ignored. In fact, there exist little or no efforts around the deployment of technological tools to propagate knowledge and create awareness among students in many local communities. In this paper, I propose Mental Health Directory (MHD), a knowledge repository about mental health to help secondary schools better assist teachers and students who might want to learn more about mental illnesses in schools where the internet is not accessible. MHD was developed through the application of information retrieval theories to source and aggregate content from verified online sources. MHD is made publicly available online and offline for schools to utilise for the aforementioned benefit, and as well as a teaching aid, and support for students who might likely be suffering from mental illnesses.
| 3 |
Author(s):
Egwuonwu Gabriel Ndubuisi, Ejike Kingsley Nnaemeka, Onyekwelu Chiagoziem Chukwuma.
Page No : 41-50
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Interpretation of Radiometric Anomalies over Some Parts of the Lower Benue Trough Nigeria, Using High Resolution Aero-radiometric Data (HRAR)
Abstract
The aero-radiometric data of these areas were employed to investigate the radioactive properties of rocks, with the aim of interpreting the concentrations of the principal radioactive elements (40K, 238U, 235U and 232Th) and possible hydrothermally altered zones that can host iron rich minerals. The radiometric data was subjected to enhancement techniques of producing concentration maps of Potassium, Thorium and Uranium. The total count map, ratio map of K/Th and the ternary image map were also produced to aid the interpretation process. The results from the Potassium, Thorium and Uranium maps displayed variations of high, moderate and low concentrations. The concentrations of these elements further mapped geology by distinguishing different rock types across the area. The total count map revealed the combined effects of the three radioactive elements, whereas the K/Thratio map revealed hydrothermally altered areas, reflecting at the NW-SW, NNE-SSW, SE, central portions and spots at the NE borders. Furthermore, the ternary image map revealed the combined intensities of the radioactive elements and possible hydrothermally altered environments, identified as (AE) on the image map.
| 4 |
Author(s):
Omonile Jacob Funsho, Alexander Awulu Ogwu, John Silas, Idachaba John Siaka.
Page No : 51-62
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Relativistic Mechanics in Gravitational Field within Oblate Spheroidal Coordinates Based upon Riemannian Geometry for Rotating Homogeneous Mass Distribution
Abstract
The emergence of the geometrical theory of gravitation (general relativity) by Albert Einstein in his quest to unity special relativity and the Newtonian law of universal gravitation, has led to several Mathematical approaches, for the exact and analytical solution for all gravitational fields in nature. The first and the famous analytical solution was the Schwarzchild’s which can be constructed by finding a mapping where the metric tensor takes a simple form i.e. the vanishing of the non-diagonal elements. In this paper, we construct exact solution of the Einstein geometrical gravitational field equation using Riemannian metric tensor called the golden metric tensor that was first developed by Howusu, in the year 2009, for the rotating homogeneous mass distribution within oblate Spheroidal Coordinates. The equations of motion for test particles in the Oblate Spheroidal Geometry were derived using the coefficient of affine connection. Then the law of conservation of momentum and energy are equivalently formulated using the generalized Lagrangian as compared to the analytical solution of the Schwarzchild’s gravitational field. We also derived the planetary equation of motion in the equatorial plane of the Oblate Spheroidal body for this gravitational field.
| 5 |
Author(s):
Mohammed Musa Musa, Samuel Osarenren Osaghae, Sanni Eshovo Blessing.
Page No : 63-74
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Hydrogeophysical Investigation of Underground Water in Sabon Kaura Community, Bauchi, Nigeria
Abstract
Hydrogeophysics is the investigation of underground formations to understand the hydrologic cycle using geophysical techniques, which aids to understand the groundwater quality and type of aquifer. One of the surface geophysical methods is the Vertical Electrical Sounding; it is effective in the investigation of layer resistivity and thicknesses of layers at various depths of interest as well as aquifer thickness. Twenty (20) VES points were sounded with maximum spread AB/2 of 60 m. The VES data was processed using IPI2 win and sounding curves obtained at most combinations which include HA, QH, KHK, KHA, A and H. The sounding curves were observed to have five layers at most: the first layer resistivity and thickness ranges (53.1–606 Ωm, 0.545–6.24 m) followed by the second layer ranging (7.7–730 Ωm, 2.17–20.4 m) and the third layer act in most of the VES as the aquiferous zone which ranges from (19–160000 Ωm, 17.2–20.1 m); jiggling was also observed within the fractured-fresh crystalline basement which represents fractures. The recommended depth of drilling ranges from 50–60 m over granite/bauchite where extensive weathering and fracturing is observed and over migmatite and gneiss 70–80 m as only fracturing was observed at deeper depth. The yield anticipated in the recommendation is moderate-high with a very low or low yield from the non-recommended VES.
| 6 |
Author(s):
Adakole Sunday, Samuel Osarenren Osaghae, Sanni Eshovo Blessing, Mohammed Musa Musa.
Page No : 75-83
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Quality Assessment of Ikpeshi White Calcite Deposit
Abstract
The research is to assess the quality of calcite deposit from GOPEX quarries. Samples were collected from five different pits and homogenized; 5 kilograms were gotten and 1 kilogram for laboratory test work and analysis. The sample was crushed to a size of 1400µm and was further reduced using ball mill to 1100µm. 100gram was riffled out for sieve analysis using set of sieves and mechanical sieve shaker and sieve size of 125µm was sampled out for chemical analysis using X-ray Fluorescence Spectrometer, from which measure elements were analyzed. The set of sieves used are 1000µm, 710µm, 500µm, 355µm, 250µm, 180µm, 125µm, 90µm, 63 µm, and (-63µm), using Gates Gaudin Schumann Method of particles size distribution and Rosin Rammler Method of particles size distribution. The result from sieve analysis shows that the economic liberation size of GOPEX calcite is at sieve number of 180µm to 63µm, showing the following mid points 6.52% to 7.82%. The equilibrium points from the graph show 50%, which signifies the existence of some if not all of these elements from the chemical analysis in the sample of GOPEX, quarries: Mg, Al, Si, P, S, K, Ca, Ti, V, Cr, Mn, Co, Fe, Ni, Cu, Zn, As, Pb, W, Au, Ag, and Rb with the following mean concentrations to be 0.5217, 1.2314, 2.7804, 0.2573, 0.5684, 0.0000, 61.2238, 0.0000, 0.0000, 0.0000, 0.0015, 0.000, 0.9938, 0.0089, 0.0117, 0.0220, 0.0000, 0.0000, 0.0000, 0.0272, 0.0025 and 0.0015 respectively, with calcium which is the major element in the sample having the following intensities 0.6241 and content of 61.2238. The limestone deposits in these location is rich in calcite which can be useful in production of cement, in agriculture and in chemical/industrial uses.
| 7 |
Author(s):
Vincent Kofi Akwensi, Muddey Donne Komla, John Asibuo Boakye, Abdulai Mumuni Abugri, Philip Ndebugre Akuka Apam.
Page No : 84-92
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Investigating Gender Differences in Using Geogebra Software at the Senior High School Level
Abstract
The study aimed to investigate the effects of GeoGebra software on students’ performance based on gender in mensuration at the Senior High School Level. Research hypothesis was used to conduct the study. Quasi-experimental (pretest-posttest design) was used in this quantitative study. Tests were used to collect data for the study and the collected data was analyzed using Statistical Package for Social Sciences (SPSS). It was therefore concluded that both genders are of the same academic abilities in geometry. It was also revealed that performances of students based on gender were not significantly different, which showed that both genders performed equally. Also, GeoGebra as a teaching and learning tool enhanced students' performance in mathematics. It was therefore recommended that the use of GeoGebra should be made to part of the Senior High School Curriculum and teachers should be sensitized about the essence of the use of technological tools in teaching mathematics.
