Mathematics
Permanent URI for this collectionhttps://irepos.unijos.edu.ng/handle/123456789/11436
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Item Reformulated Adomian Decomposition Method for the Approximation of Special Linear and Nonlinear Two-Point Boundary Value Problems(SCIENCE FORUM (JOURNAL OF PURE AND APPLIED SCIENCES), 2021-08-12) Joshua Sunday1; Joshua A. Kwanamu; Nathaniel M. Kamoh; Yusuf SkwameBoundary value problems (BVPs) of higher order have been found to be potentially applicable in hydro-magnetic stability, hydrodynamics, chemical reactions, heat power transmission theory, and the boundary layer theory in fluid mechanics. In this research, a method which decomposes the solution into the series which converges rapidly shall be derived. We shall call this method the reformulated Adomian decomposition method (RADM). This method is an improvement over Aadomian decomposition method (ADM). The RADM is derived in such a way that on imposing the boundary conditions on the approximant, a system of equations is obtained which in turn is solved for the undetermined constants. On substituting the resulting constants into the solution function, we obtain a series solution to the problem. The RADM is applied on some linear and nonlinear two-point BVPs and from the results obtained, the method is said to be computationally reliable.Item On Cyclic Codes of Odd Lengths from the Stable Variety of Regular Cayley Graphs(Mathematics and Statistics, 2018) Chun P.B; Ibrahim A.A; Kamoh N.MThe use of the adjacency matrix of a graph as a generator matrix for some classes of binary codes had been reported and studied. This paper concerns the utilization of the stable variety of Cayley regular graphs of odd order for efficient interconnection networks as studied, in the area of Codes Generation and Analysis. The Use of some succession scheme in the construction of a stable variety of the Cayley regular graph had been considered. We shall enumerate the adjacency matrices of the regular Cayley graphs so constructed which are of odd order as in [1]. Next, we would show that the Matrices are cyclic and can be used in the generation of cyclic codes of odd lengths.Item C++ Codes for the Implementation of Determining and Controllability Matrices, Cardinality and Controllability Rank Conditions for A Class of Double - Delay Control Systems(International Journal of Engineering Science and Computing, 2016-06) Ukwu Chukwunenye; Obiorah MmachiAs dictated by practical exigencies, this research article designed and developed extensive C++ codes for the implementation of determining matrices, controllability matrices, cardinality and controllability rank conditions, for a class of double - delay control systems, thereby averting the prohibitive manual computations associated with such mathematical objects. With these results, the interrogation of the controllability disposition of this class of functional differential control systems can be accomplished with astounding swiftness, in turn, providing the much desired implementation paradigm shift.Item ENHANCING THE TEACHER PROFESSION: KEY TO REVAMPING THE EDUCATION SECTOR IN NIGERIA(Academic Research International, 2013) N. M. Kamoh1 , L. S. Ughili2 , A. A. AbadaEducation is a living concept that continues to grow and develop on daily basis. The paper looked at necessary steps needed to enhance the teaching profession. Questionnaire was administered to 1000 males and females respondents. The data was analyzed using standard deviation method, the results (tables I & II) indicated high standard deviations (σ) of 38.16 and 107.83 respectively, revealing that, the factors are independent of one another. A number of challenges were identified and discussed. The research concluded with a number of far-fetched recommendations. Improved remunerations; regular payment of salaries and improved fringe benefits, among others can greatly motivate and enhance the teaching profession.Item An Adaptive Method using the L-Weno Reconstruction(International Journal of Engineering Applied Sciences and Technology, 2021-10) Mrumun C. Soomiyol; Terhemen Aboiyar; Nathaniel M KamohIn this work, an adaptive formulation of the Legendre - Weighted Essentially Non-Oscillatory (L-WENO) method is used to solve some problems of two-dimensional linear conservation laws on unstructured triangular mesh. The mesh adaptivity is used to improve the performance of the method. Although the results with the L-WENO method gets better as the mesh is refined, the mesh adaptation algorithm was able to improve the quality of the numerical approximation and reduce computational cost by refining and coarsening the computational mesh based on some specified criteria.Item HIGH ORDER A-STABLE BLOCK ETR2s AND THEIR APPLICATION TO SYSTEM OF FIRST ORDER ODES(Leena and Luna International, Chikusei, Japan, 2014) Awari, Y.S.; Garba, E.J.D.; Kumleng, G.MAn eighth order block Extended Trapezoidal Rule of Second kind (ETR2s) is presented for the numerical integration of stiff system of first-order ordinary differential equations. In the derivation process, we adopt the power series approach which leads to a system of equations that would be solved simultaneously in block form to generate approximate solution for the differential equations. The stability properties of the method are also presented. Some test, reported to emphasize pros and cons of the method.Item COMMENTARIES ON HILBERT’S BASIS THEOREM(_SCIENCE WORLD JOURNAL, 2008) APINE, E; JELTENThe famous basis theorem of David Hilbert is an important theorem in commutative algebra. In particular the Hilbert’s basis theorem is the most important source of Noetherian rings which are by far the most important class of rings in commutative algebra. In this paper we have used Hilbert’s theorem to examine their unique properties which will help us to understand some of the characteristics of the Noetherian rings.