Scitech Research Organisation(SRO) (E-Journals)
Not a member yet
1011 research outputs found
Sort by
Traveling wave solutions and numerical solutions for a mBBM equation
Full text linkIn this paper, some exact meromorphic solutions and generalized trigonometric solutions of the space-time fractional modified Benjamin-Bona-Mahony (mBBM) equation are established by a new transformation and reliable methods. Moreover, some numerical solutions are obtained by using the optimal decomposition method (ODM), and their accuracy is shown in tables and images
On the Numerical Solution Of Schrodinger Equation
Full text linkIn the beginning, we start with reviewing basic concepts such as inner product and Hilbert spaces ; then we introduce Schrodinger Equation focusing on the solution of time–dependent and time–independent with a stress on the harmonic oscillator problem which will be the ingredient for our subject ; namely, the numerical solution of .
The numerical solution of is then tackledusing the so–called potential morphing method .Calculations were carried out for the ground state of the which represents the frame of reference to work with. The obtained results were compared with similar ones and found to be in very good agreement. Finally, a brief discussion related to possible future work is given ; moreover recent works on the subject are exposed t
Mathematical Modelling of Cholera Incorporating The Dynamics of The Induced Achlorhydria Condition And Treatment
Full text linkCholera is an infectious disease caused by the bacterium Vibrio cholerae rampant in countries with inadequate access to clean water and proper sanitation. In this work a mathematical model for cholera incorporating the dynamics of the induced achlorhydria condition and treatment is analysed. Michaelis-menten equation in microbiology is used to show variation in pH level of the hydrochloric acid in the digestive system. Vibrio cholerae are acid labile and thrive well in alkaline medium.Once the gastric pH is raised by factors like antacid drugs or surgery the stomach medium become suitable for Vibrio cholerae to thrive and multiply very fast than healthy people. This lead to cholera transmission as the infected individuals with induced achlorhydria condition shed more folds of Vibrio cholerae to the environment. If individuals with achlorhydria condition are treated, the effect of cholera outbreak is reduced. The existence and stability of the equilibrium points is established. Analysis of the model show that the disease free equilibrium is both locally and globally asymptotically stable when the basic reproduction number is less than unity, while the endemic equilibrium is locally asymptotically stable when the reproduction number is greaterthan unity. Numerical simulations is done using MATLAB software to show the effect of the induced achlorhydria condition on the spread of cholera and individuals with this condition suffer severe infection during cholera outbreak
Nonparametric Tests for the Umbrella Alternative in a Mixed Design for Location
Full text linkThis paper further investigates existing test statistics proposed by Magel et al. (2010) for detecting umbrella alternatives when the peak is known, and the underlying design consists of a completely randomized design (CRD) and randomized complete block design (RCBD). Magel et al. (2010) assumed equal variance between the CRD and the RCBD portions for the power estimates that they conducted. We investigate the powers of the tests compared to each other when testing for location in this design when the variance of the CRD portion is 2, 4, and 9 times larger than the variance of the RCBD portion. Underlying normal, t, and exponential distributions are considered as well as a variety of location shifts, and different ratios between the sample size in the CRD portion compared to the number of blocks in the RCBD portion
Idempotent Structures Of Semigroup Of Singular - Regular Matrices
Full text linkLet S be a semigroup of singular matrices over a subset of the set of integers. The idempotentelements of S are classified into tridempotent, fractional idempotent and skew idempotentelements. Matrices are generally known to be non-commutative but an example of commutativematrices is established in this work. Matrix multiplication and its axioms are employedto establish the results. Regularity was first established and the condition for regularity ofeach idempotent structure obtained is discussed. Some of the structures obtained are used toestablish bands of regular elements. The fractional component of S is obtained combinatoriallyby choosing a number with its sign for every row of each matrix. There are m values ofmatrices with first and second rows being equal, which are removed from the set since theirmultiplication gives zero. The satisfaction of the condition for commutativity implies that allthe matrices have the same characteristic equation and all are of a specified order n. This isevident in the fact that the product of the principal diagonal, D1 of matrix A is the same asthe product of the principal diagonal D2 of matrix B. Also, the product of the off- diagonal ofmatrices A and B are the same
SPC using size Biased Maxwell Distribution
Full text linkThis paper elucidates the control limits for size biased Maxwell distribution for different sample size(s) with fixed scale parameter. The performance of the control chart observed through the average run length (ARL). The propose control limits, size biased Maxwell (SBMW), compare with existing Maxwell Distribution with same parameter setting and found majority of times better in performance as compare to existing control chart
Exact Ordering
Full text link Ordering is an important subject of learning; it has so many applications in day -to - day life. Hence, in this paper exact and general exact ordering methods are reviewed giving sample applications for them.
Firstly, the exact ordering method is introduced and few theorems are given to assign the conditions needed to locate the position of a required object among a class of objects to be ordered in a certain manner in three classes.
Secondly, the exact ordering method is generalized to any odd number of classes In both cases and if the required object class is put in the middle of other classes, then the required object will be located exactly in the middle of all objects provided that we arrange the objects orderly in three classes in the first case and in ones in the second general case and where certain defined steps are to be followed.In general steps are required to determine the required object exactly and where is the odd number of classes.
Making the subject more interesting, deeper, and handled in a sophisticated manner, through the introduction of exact ordering operators, is then exposed to.
Finally, few different applications are suggested in physics, operational research, criminal investigation and in sorting files and postal mailing. A practical demonstration with playing cards is also mentioned
Investigating the Determinants of Productivity Growth of The Small Scale Garment Industrial Cluster In Aba, Nigeria.
Full text linkClassical agglomeration theory posits that production is facilitated when there is a clustering of economic activities. Although, the theory failed to explain which of the economic activity will lead to the formation of the cluster, the theory also failed to explain what determines productivity growth in such a cluster. Hence this study investigates the determinants of industrial cluster productivity growth in the production activity using the small scale garment industrial cluster in Aba, Nigeria. This study employed the questionnaire for its data collection from a sample of 300 small scale garment operators in Aba. The Multi-criteria Decision Analysis (MCDA) and simple percentage statistics were used for the analysis. The study found the major determinants of productivity growth of the small scale garment industrial cluster in Aba to include; small market for the products, high competition from imported foreign goods, low quality of products, tax policy, multiplicity of taxes, levies and other rates, and high rate of infrastructural decay. Based on the findings of this study, we recommend that government should prioritize industrial cluster development in its development policies through improving her tax policies. Flexible trade regulations and infrastructural development should be embarked on for industrial sector productivity growth
Stability and Oscillation of θ-methods for Differential Equation with Piecewise Constant Arguments
Full text linkThis paper studies the numerical properties of θ-methods for the alternately advanced and retarded differential equation u′(t) = au(t)+bu(2[(t+1)/2]). Using two classes of θ-methods, namely the linear θ-method and the one-leg θ-method, the stability regions of numerical methods are determined, and the conditions of oscillation for the θ-methods are derived. Moreover, we give the conditions under which the numerical stability regions contain the analytical stability regions. It is shown that the θ-methods preserve the oscillation of the analytic solution. In addition, the relationships between stability and oscillation are presented. Several numerical examples are given
Generalized John Numbers
Full text linkIn this paper, we define and investigate the generalized John sequences and we deal with, in detail, two special cases, namely, John and John-Lucas sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences. Furthermore, we show that there are close relations between John and John-Lucas numbers and Pell, Pell-Lucas numbers