International Journal of Modern Mathematical Sciences
ISSN: 2166-286X (online)Search Article(s) by:
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Current Issue: Vol. 13 No. 3or Keyword in Title:
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Table of Content for Vol. 13 No. 3, 2015

Some Study on Uncertainty Principle
Ishtaq Ahmad and Neyaz Ahmad
 PP. 198 - 209
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ABSTRACT: In the present paper, we introduce a new form of uncertainty principle in terms of moment generating function(m.g.f) and find the upper bound of the product for the time spread σt and frequency spread σω of a signal f(t)∈ L2(R) in terms of the Mathematical expectation and also in case of self-adjoint operators. Further, we find the estimation of frequency at any instant of time and vice-versa.

On Some New Spaces of Invariant Means with Respect to Modulus Function
A. H. Ganie, N. A. Sheikh and T. Jalal
 PP. 210 - 216
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ABSTRACT: The sequence space V(θ) through the concept of invariant means and lacunary sequence space θ= (kr), have recently been introduced by Mursaleen (M. Mursaleen, Some matrix transformation on sequence spaces of invariant means, Hacettepe J. Math. Stat., 38(3)(2009): 259-264))[12], which was further studied by Ganie and Sheikh [4]. In the present paper, our aim is to introduce and study V(f,θ) and V(f,p,θ), where f is a modulus function. We establish some inclusion relations between these spaces.

Structural Properties of Length Biased Nakagami Distribution
Sofi Mudasir, S.P Ahmad
 PP. 217 - 227
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ABSTRACT: In this paper, a new class of length biased Nakagami distribution is introduced. The characterizing and structural properties of the model are derived. The estimate of the scale parameter of length biased Nakagami distribution is obtained by using maximum likelihood method of estimation. Also information measures of a new model are derived and studied.

A Comparative Study of Finite Element Method and Haar Wavelet Collocation Method for the Numerical Solution of Nonlinear Ordinary Differential Equations
S. C. Shiralashetti, P. B. Mutalik Desai, A. B. Deshi
 PP. 228 - 250
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ABSTRACT: The numerical solutions of typical nonlinear ordinary differential equations have attracted the attention of scientists and engineers in the fields of Aeronautical Engineering, Fluid dynamics, Heat and mass transfer etc. In recent years application of wavelets has become an established tool for the solution of certain differential equations. The Haar wavelet basis permits to enlarge the class of functions used so far in the collocation framework. The proposed work presents the comparative numerical study between Finite element method (FEM) and Haar wavelet collocation method (HWCM) for the solutions of typical Non-linear ordinary differential equations. More accurate solutions are computed by wavelet decomposition in the form of a multi-resolution analysis (MRA). The rich property of HWCM over FEM is in terms of numerical accuracy is proved and is justified through the illustrative examples. The use of the HWCM is found to be accurate, simple, fast, flexible, and convenient and has less computational cost by increasing the level of resolution.

Analytical Expressions of Reactive Fully Developed Flow of an Incompressible, Thermodynamically Compatible Fluid
V. Ananthaswamy, T. Iswarya, M. Subha
 PP. 251 - 274
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ABSTRACT: This paper deals with the effect of dimensionless non-Newtonian parameter on the thermal stability of a reactive viscous liquid in the steady flow between parallel heated flat channels. It is taken for granted that the reaction is exothermic under different chemical kinetics: Sensitized Arrhenius, and Bimolecular neglecting the concentration of the stuff. The approximate analytical expressions of the velocity and temperature profiles for fluid flow are derived by using Homotopy perturbation method. The present approaches are less computational, simple and are applicable for solving other strongly non-linear boundary value problems in physical sciences.

Determinant of Neonatal Jaundice: A Logistic Regression and Correspondence Analysis Approach
Chukwu. A.U, Folorunso S.A
 PP. 275 - 290
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ABSTRACT: In this work, we use binary logistic regression which measures the response outcome that has two category and correspondence analysis that is conceptually similar to principal component analysis, but applies to categorical outcomes. This study examines determinant of neonatal jaundice and proposes a qualitative response regression model for obtaining precise estimates of the probabilities of a neonates having neonatal jaundice. Logistic regression analysis and correspondence analysis are used to model neonatal jaundice as a response variable while the covariates are neonate"s age, sex, birth-weight, mode of delivery, place of delivery, settlement, G6PD, Rhesus-factor, mother-illness, mother-education, parity and gestational age. The model converges at the 4th iteration with log-likelihood of -133.94965 and the McFaddenpseudo-R2 is 0.1663 with probability of 0.0000 at 5% α level of significance, this indicated that the model fitted for the study is adequate at that level of significance. In conclusion, the performance of the model is reliable, useful and proves the existence of risk factors that determine neonatal jaundice.

Meixner’s Polynomial Method for Solving Integral Equations
Syed Tauseef Mohyud-Din, Muhammad Tufail, Muhammad Usman
 PP. 291 - 306
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ABSTRACT: This manuscript witnesses a modification in the efficient Galerkin weighted residual numerical method is proposed with Chebyshev polynomials as trial functions by inserting Meixner’s polynomials instead of the traditional Chebyshev polynomials. The modified version which is called the Meixner’s polynomials Method (MPM)is highly accurate and is tested on linear and nonlinear integral equations and systems. Couple of examples is given to elucidate the solution procedure. Comparison of numerical results explicitly reflects the very high level of accuracy.

Preference of Priors of the Exponentiated Exponential Distribution under Different Loss Functions
Afaq Ahmad, S. P Ahmad and A. Ahmed
 PP. 307 - 321
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ABSTRACT: The object of this study is to study the Bayes estimation of the unknown shape parameter of Exponentiated Exponential distribution. The prior distribution used here is the non-informative extended Jeffrey’s prior and informative Chi-Square prior, Pareto 1 prior and inverse Levy prior of the parameter. Bayes estimators are derived under squared error loss function, Quadratic loss function and LINEX loss function which is asymmetric in nature. Mean square error simulations are performed to compare the performances of these Bayes estimates under different situations. Finally, we summarize the result and give the conclusion of this study.