{"title":"Subgroups of Group of homotopy spheres","authors":"S. Ajala","doi":"10.4314/JONAMP.V11I1.40193","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40193","url":null,"abstract":"Let θ n denote the group of h-cobordism classes of homotopy n-sphere under the connected sum operation. H(p, q) is the subgroup of θ p consisting of those homotopy p-spheres ∑ p such that ∑ p x S w is diffeomorphic to S p x S q . Also bP p+1 is the subgroup of homotopy p-sphere which bounds parallelizable manifolds. In this paper, we will prove that H(p,q) bP p+1 is isomorphic to the Cokernel of Hopf-Whitehead homorphism J : Π p S0(q+1) → Π p + Q + 1 (S q+1>) JONAMP Vol. 11 2007: pp. 47-50","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121093533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On some functional associated with certain coefficient problems","authors":"K. O. Babalola","doi":"10.4314/JONAMP.V11I1.40196","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40196","url":null,"abstract":"Under certain conditions, we obtain sharp bounds on some functionals defined in the coefficient space of starlike functions. It has been found that the functionals are closely associated with certain coefficient problems, which are of independent interest. JONAMP Vol. 11 2007: pp. 63-66","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"93 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116730976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Influence of power-law index on an unsteady exothermic reaction","authors":"O. Lamidi, R. Ayeni","doi":"10.4314/JONAMP.V11I1.40257","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40257","url":null,"abstract":"This study presents the solution of an unsteady Arrhenius exothermic reaction where we reduced the exponential term to a power-law approximation. A numerical solution of the problem is obtained using shooting technique with second order Runge-Kuta scheme. It is shown that the temperature of the reactant depends on the power-law index. The temperature of the reactant increases as the power-law index increases. JONAMP Vol. 11 2007: pp. 545-548","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127768811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Second law analysis of a reacting temperature dependent viscous flow through an inclined channel with isothermal walls.","authors":"So Adesanya, Randolph T. Williams, R. Ayeni","doi":"10.4314/JONAMP.V11I1.40258","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40258","url":null,"abstract":"In this paper, entropy generation during the flow of a reacting viscous fluid through an inclined Channel with isothermal walls are investigated. The coupled energy and momentum equations were solved numerically. Previous results in literature (Adesanya et al 2006 [[17]) showed both velocity and temperature have two solutions. We compute the entropy generation for each set of solutions. Tables and figures feature prominently. JONAMP Vol. 11 2007: pp. 549-556","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115676957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Solving microwave heating model in a slab using shooting technique","authors":"P. Olanrewaju, R. Ayeni, O. Adebimpe","doi":"10.4314/JONAMP.V11I1.40255","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40255","url":null,"abstract":"We employ shooting technique to explicitly construct the approximate solution of steady state reaction – diffusion equations with source term that arise in modeling microwave heating in an infinite slab with isothermal walls. In particular, we consider the case where the source term decreases spartially and increases with temperature. The important properties of the temperature fields and thermal criticality are discussed. JONAMP Vol. 11 2007: pp. 529-532","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114171328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Constructing the operator matrix for the optimal control of linear lower order non-dispersive waves","authors":"Is Ukwosa, Sa Reju","doi":"10.4314/JONAMP.V11I1.40212","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40212","url":null,"abstract":"Non-dispersive waves propagate with constant phase velocities therefore they are indispensable in communication and some other areas of application. This paper constructed the Operator, R, for the control of linear lower order non-dispersive wave equation using the extended conjugate gradient Method proposed in [2]. The work of Ibiejugba et al, [3] was on the role of multipliers in the multiplier method which was applied to dynamical system. This work involves system governed by first order partial differential equation, namely linear lower order non-dispersive wave. JONAMP Vol. 11 2007: pp. 191-198","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"386 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124791140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analytical determination of low velocity layer in 4-D hydrocarbon prospecting in parts of Imo State","authors":"E. Okolie, Fc Ugbe, Bo Uyouyou","doi":"10.4314/JONAMP.V11I1.40234","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40234","url":null,"abstract":"Generally, Seismic reflection surveys are done in the oil sectors to determine commercially viable hydrocarbon reservoirs but in most cases reflection records are obscured by wave behaviours in weathering layer. Hence, Up-hole refraction surveys are carried out in 3-D and 4-D prospects with a view to delineating the accurate depth or location of hydrocarbon reservoirs with least distortion by precise determination of the low velocity layer (LVL).Thus, Up-hole survey was done here using a 24-channel Seismograph OYO Mcseis 160mx which prints the seismometer responses from geological structures beneath in waveforms. These waveforms were studied and plotted to obtain the layer velocities of the waves and their corresponding layer thicknesses from fifteen randomly selected sites in the field. Analyses of results show that the field of study is basically a 3-layer zone in which the weathering layer thicknesses varied from 2.0m to 3.5m with velocity ranging from 340m/s to 1000m/s The consolidated layer velocities range from 1750m/s to 2050m/s which fall within the range used for static correction on the reflection records. Thus weathering/static corrections here may be eliminated at about 3.0 m deep and at elevation of 20m to 40m above sea level in this field and similar fields. JONAMP Vol. 11 2007: pp. 393-402","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128897459","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Finite element solution of the Boussinesq wave equation","authors":"J. Akpobi, E. Akpobi","doi":"10.4314/JONAMP.V11I1.40215","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40215","url":null,"abstract":"In this work, we investigate a Boussinesq-type flow model for nonlinear dispersive waves by developing a computational model based on the finite element discretisation technique. Hermite interpolation functions were used to interpolate approximation elements. The system is modeled using a time dependent equation. Solution to the model is obtained, through a combination of two different schemes namely: a time approximation scheme (the Newmark Method) and the eigenvalue finite element method. Using this schemes, discrete solutions of the model at different time steps, were obtained. Graphical illustrations of solutions for the transient displacements at the center and right end of the rod are presented. The results obtained are very accurate and the model efficient. JONAMP Vol. 11 2007: pp. 223-238","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126656660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Mathematical analysis of the global dynamics of a model for HIV infection of CD4 + T cells","authors":"T. Oluyo, R. Ayeni, O. O. Ayndokan","doi":"10.4314/JONAMP.V11I1.40202","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40202","url":null,"abstract":"We analyze a mathematical model that describes HIV infection of CD4 + T cells. We are interested in the effect of a small addition of infection on an equilibrium state. Using Rene Descartes' theory of solutions, we show that if the so called basic reproduction number R0 1, then the infection will lead to full blown AIDS. In either case Ro is important in the eventual growth of the disease. JONAMP Vol. 11 2007: pp. 103-110","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127917632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Newton's equation of motion in the gravitational field of an oblate earth","authors":"D. Bakwa, Y. Jabil","doi":"10.4314/JONAMP.V11I1.40221","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40221","url":null,"abstract":"In this paper, we derived Newton's equation of motion for a satellite in the gravitational scalar field of a uniformly rotating, oblate spheriodal Earth using spheriodal coordinates. The resulting equation is solved for the corresponding precession and the result compared with similar ones. JONAMP Vol. 11 2007: pp. 279-286","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131230483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}