Journal•ISSN: 1116-4336
Journal of the Nigerian Association of Mathematical Physics
African Journals OnLine
About: Journal of the Nigerian Association of Mathematical Physics is an academic journal. The journal publishes majorly in the area(s): Numerical methods for ordinary differential equations & Backward differentiation formula. It has an ISSN identifier of 1116-4336. Over the lifetime, 249 publications have been published receiving 950 citations.
Topics: Numerical methods for ordinary differential equations, Backward differentiation formula, Porous medium, Exponential integrator, Grashof number
Papers
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TL;DR: In this article, the authors proved Sylvester's law of nullity and exercise, which states that the nullity of the product BA never exceeds the sum of the nullities of the factor and is never less than the nullness of A.
Abstract: In this work, we have proved a number of purely geometric statements by algebraic methods. Also we have proved Sylvester’s law of Nullity and Exercise: the nullity of the product BA never exceeds the sum of the nullities of the factor and is never less than the nullity of A. Keywords: Transformation of Groups, Nullity, Kernel, Image, Non-Singular, Symmetry Group, Shear, Compression, Elongation Reflection Journal of the Nigerian Association of Mathematical Physics , Volume 20 (March, 2012), pp 27 – 30
208 citations
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TL;DR: In this article, a unified method for calculating spatial coordinates of markers for a rigid body motion such as in bones is presented, which can be described by a rotation matrix and a translation vector or by the position of screw axis, the angle of rotation about this axis and the translation along the axis.
Abstract: In this paper, we present a unified method for calculating spatial coordinates of markers for a rigid body motion such as in bones. Kinematical analysis of bone movement in cadaveric specimens or living objects had been developed. Here, we show how spatial co-ordinates of markers in or on bone can be calculated from the co-ordinates of projections of these markers in two different directions on one or two planes. This rigid body motion can be described by a rotation matrix and a translation vector or by the position of screw axis, the angle of rotation about this axis and the translation along the axis. Our method shows that our solution process is different and our results show that three or more non-collinear points are used and no initial approximation is needed.
67 citations
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TL;DR: In this article, the stability of triangular points under the influence of radiation pressure of the bigger primary, oblateness of the smaller primary and variation in mass of the third infinitesimal body has been investigated.
Abstract: The stability of triangular points under the influence of radiation pressure of the bigger primary, oblateness of the smaller primary and variation in mass of the third infinitesimal body has been investigated. It is found that these points are stable for 0 JONAMP Vol. 11 2007: pp. 287-294
47 citations
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TL;DR: A block linear multistep method for solving special third order initial value problems of ordinary differential equations that possesses the desirable feature of Runge-Kutta method of being self-starting and eliminates the use of predictor- corrector method.
Abstract: A block linear multistep method for solving special third order initial value problems of ordinary differential equations is presented in this paper. The approach of collocation approximation is adopted in the derivation of the scheme and then the scheme is applied as simultaneous integrator to special third order initial value problem of ordinary differential equations. This implementation strategy is more accurate and efficient than those given when the same scheme is applied over overlapping intervals in predictor-corrector mode. Furthermore, the new block method possesses the desirable feature of Runge-Kutta method of being self-starting and eliminates the use of predictor- corrector method. Experimental results confirm the superiority of the new scheme over the existing methods.
31 citations
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TL;DR: Using Rene Descartes\' theory of solutions, it is shown that if the so called basic reproduction number R0 1, then the infection will lead to full blown AIDS and Ro is important in the eventual growth of the disease.
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
29 citations