International Journal of Modern Mathematical Sciences
ISSN: 2166-286X (online)Search Article(s) by:
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Current Issue: Vol. 13 No. 4or Keyword in Title:
Editorial Email: ijmms@modernscientificpress.comor Keyword in Abstract:

Table of Content for Vol. 13 No. 4, 2015

Three Dimensional Finite Difference Model to Study Thermal Disturbances in Peripheral Region of Human Limbs Immediately after Physical Exercise in Cold Climate
Babita Kumari, Neeru Adlakha
 PP. 352 - 365
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ABSTRACT: The physical activity causes substantial increase in metabolic heat generation and blood flow which can lead to thermal disturbances in human body organs. Such thermal disturbances can pose threat to the thermoregulation system of human body which is responsible for maintaining the structure and functions of the human body. The thermoregulatory responses in human organs due to physical activity are not well understood. In this paper a three dimensional finite difference model is proposed to study thermal disturbances in peripheral regions of human limbs immediately after physical exercise under cold climatic conditions. The human limb is assumed to be of cylindrical shape. The peripheral region of the limb is divided into three natural components namely epidermis, dermis and subdermal tissues. Appropriate boundary conditions have been framed based on physical conditions of the problem. It is assumed that human subject is doing exercise initially and stops physical exercise and comes to rest. The Finite Difference Method is employed for both time and spatial variables. The numerical results have been used to obtain temperature profiles in peripheral regions of human limbs immediately after physical exercise. These results have been used to analyse the thermal disturbances in peripheral regions of a human limb immediately after physical exercise at low atmospheric temperature. The information generated from the model can be useful to biomedical scientists for developing protocols for physical exercise and rest to protect sportsmen, military person and labour intensive workers from heat injury and other disorders caused due to physical exertion.

A New Three Parameter Consul Kumaraswamy Distribution with Application
Adil Rashid and T. R. Jan
 PP. 366 - 376
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ABSTRACT: In the present paper we construct a new three parameter distribution which is obtained by compounding a Consul distribution with Kumaraswamy distribution. The new distribution so obtained is known as Consul Kumaraswamy distribution (CKSD) which can be nested to different compound distributions. Furthermore, some mathematical properties such as factorial moments, mean, variance and coefficient of variation of some compound distributions have also been discussed. The estimation of parameters of the proposed distribution has been obtained via maximum likelihood estimation method. Finally the potentiality of proposed distribution is justified by using it to model the real life data set.

Calibration Approach Separate Ratio Estimator for Population Mean in Stratified Sampling
Etebong P. Clement
 PP. 377 - 384
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ABSTRACT: Calibration approach in survey sampling provides an important class of technique for the efficient combination of data sources to improve the precision of parameter estimates. This paper introduces calibration approach separate ratio estimator for population mean Y ̅ of the study variable y using auxiliary variable x in stratified sampling. The variance and variance estimator of the proposed estimator have been derived using analytical approaches. An empirical study to evaluate the relative performances of the proposed estimator against members of its class was carried out. Results of analysis showed that the proposed estimator is substantially more efficient than members of its class under consideration with appreciable efficiency gain.

Some Matrix Transformations of into the Spaces of Invariant Means
Tanweer Jalal
 PP. 385 - 391
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ABSTRACT: The main object of the present paper is to determine the necessary and sufficient conditions to characterize the matrices which transform the space l(p,u)   into the spaces vσ(θ) and vσ(θ) and to fill up some gaps in the existing literature.

The Zeros of Polar Derivatives of Polynomials with Restricted Coefficients
P. Ramulu and G. L. Reddy
 PP. 392 - 403
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ABSTRACT: In this paper we extend some existing results on the zeros of polar derivatives of polynomials by considering restricted real coefficient conditions. As special cases the extended results yield much simpler expressions for the upper bounds of zeros of those of the existing results.

An Algorithm Based on the Fitness Function for Solving Bi-Level Linear Fractional Programming Problems
 PP. 404 - 416
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ABSTRACT: Bi-level programming is a tool for modelling decentralized decisions that consists of the objective of the leader at its first level and that of the follower at the second level. We present genetic algorithm (GA) for solving bi-level linear fractional programming problem (BLLFPP) by constructing the fitness function of the upper-level programming problem based on the definition of the feasible degree. This GA avoids the use of penalty function to deal with the constraints, by changing the randomly generated initial population into an initial population satisfying the constraints in order to improve the ability of the GA to deal with the constraints. The method has no special requirement for the characters of the function and overcome the difficulty discussing the conditions and the algorithms of the optimal solution with the definition of the differentiability of the function. Finally, the feasibility and effectiveness of the proposed approach is demonstrated by the numerical example.

Approximate Analytical Expressions for Thermal Stability of a Reactive Hydromagnatic Poiseuille Fluid Flow through a Channel
M. Subha, K.M. Dharmalingam
 PP. 417 - 441
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ABSTRACT: This research article is to study the thermal stability of a reactive hydromagnetic Poiseuille fluid flow through a channel. This study is only applicable for exothermic under different chemical kinetics: Sensitized, Arrhenius and Bimolecular neglecting the concentration of the stuff. The approximate analytical expressions of the nonlinear boundary value problem for the fluid flow are obtained by using the Homotopy perturbation method. The approaches of the present study are very less computational, simple and also applicable for solving other strong non-linear boundary value problems.

Gibson Paradox Analysis in Iran Economic
Zohreh. Dehghani, Nooralah. Salehi Asfiji, Mehdi. Nejati
 PP. 442 - 448
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ABSTRACT: This article examines the relationship between interest rates and inflation as two important macroeconomic variables in Iran. Some policy-makers and economic analysts believe that raising in interest rates cause a rising in production costs and thus result in increased prices and inflation. On the other hand, according to economic theories, rising in inflation will cause an increase in interest rates. In this context, this article investigates the causality between changes in interest rates and inflation in Iran by using vector Auto Regressive distributed Lag (ARDL). The interest rate in this study is the market interest rate which the data of this variable has been gathered from the Central Bank of the Islamic Republic of Iran. The Data which used in this study contains a time of 35-years period (1357-1392). The results suggest that the relationship between interest rates and inflation is positive and significant and there is a casual relation between changes in interest rate and inflation. In other words, the perspective of Islamic economics experts is approved.

Two Different Exponential Finite Difference Methods for Numerical Solutions of the Linearized Burgers’ Equation
Bilge İNAN, Ahmet Refik BAHADIR
 PP. 449 - 461
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ABSTRACT: This paper note two new techniques of forming improved exponential finite difference solutions of the Burgers’ equation with different values of v viscosity coefficient. These techniques are called implicit exponential finite difference method and Crank-Nicolson exponential finite difference method. Since the Burgers’ equation is nonlinear, we applied the Hopf-Cole transformation to the linear heat equation which converted from Burgers’ equation. And then, the exponential finite difference methods are used to obtain numerical solution. Implicit exponential finite difference method and Crank-Nicolson exponential finite difference method lead to a system of nonlinear equations. At each time-step Newton’s method is used to solve these nonlinear systems. The results are comparisons with exact values clearly show that results obtained using both methods are precise and reliable.