International Journal of Modern Mathematical Sciences
ISSN: 2166-286X (online)Search Article(s) by:
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Current Issue: Vol. 14 No. 3or Keyword in Title:
Editorial Email: ijmms@modernscientificpress.comor Keyword in Abstract:

Table of Content for Vol. 14 No. 3, 2016

Effect of Viscous Dissipation on Flow over a Stretching Porous Sheet Subjected to Power Law Heat Flux in Presence of Heat Source
Khaled K. Jaber
 PP. 212 - 220
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ABSTRACT: The influence of viscous dissipation on laminar flow and heat transfer of a viscous incompressible fluid due to a stretching porous sheet subjected to power law heat flux in presence of heat source is studied. The equations of motion and heat transfer are transformed into a system of dimensionless non-linear ordinary differential equations which solved numerical by using shooting technique. The effects of porosity parameter, Eckert number, Prandtl number and heat source parameter on the velocity profile, temperature distribution and recovery temperature are discussed.

An Application of the Aleph (ℵ)–Function for Detecting Glucose Supply in Human Blood
Ravi Shanker Dubey
 PP. 221 - 226
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ABSTRACT: In this paper we derive the equation of glucose supplying to blood by making use of the Aleph (ℵ)-function. A few interesting special cases have also been recorded.

Estimation in Step-Stress Partially Accelerated Life Tests for the Mukherjee-Islam Distribution Using Time Constraint
Showkat Ahmad Lone, Ahmadur Rahman, Arif-Ul-Islam
 PP. 227 - 238
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ABSTRACT: This paper deals with estimating failure time data under step-stress partially accelerated life tests based on type I censoring. The lifetime distribution of the test items is assumed to follow Mukherjee-Islam failure model. The maximum likelihood estimates (MLEs) are obtained for the distribution parameters and acceleration factor. In addition, asymptotic variance and covariance matrix of the estimators are given. Furthermore, confidence intervals of the estimators are presented. For illustrating the precision and variations of maximum likelihood estimators, simulation studies are introduced.

MHD Mixed Convection Chemically Reactive Flow in Radiative Heat Generating Medium with Soret Effect
SanjibSengupta, AmritKarmakar
 PP. 239 - 261
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ABSTRACT: In this paper an exact analysis is made to study the mixed convective flow of a Newtonian, electrically conducting, incompressible, viscous fluid past a vertical porous plate immersed in heat generating Darcian porous media under the influence of thermal radiation, chemical reaction and thermo- diffusion (Soret) effect. A magnetic field of uniform strength is applied transversely to the plate surface. The Rosseland approximate model is used in the energy equation to quantify the heat flux due to thermal radiation. The governing system of coupled partial differential equations with a set of favorable boundary conditions is transformed to a system of ordinary differential equations by applying a group of asymptotic transformations. The closed form of expressions for the velocity, temperature and concentration fields as well as the skin-friction, Nusselt and Sherwood numbers are obtained in terms of some governed physical parameters. Finally, numerical simulation has been made in terms of graphs and tables. It is observed that, the physical parameters like heat source and Soret number increase the radial velocity of the flow but decrease the Sherwood number. It is also observed that, the Nusselt number as well as the skin-friction decrease due to increase in thermal radiation parameter, while the Sherwood number increases as chemical reaction parameter increases.

On Singular Fractional Differential Systems and Ulam-hyers Stabilities
Amele TAÏEB and Zoubir DAHMANI
 PP. 262 - 282
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ABSTRACT: This paper deals with high dimensional singular systems of Caputo fractional differential equations. Some existence and uniqueness results are obtained. The Ulam-Hyers stabilities of the considered problem are investigated. Some illustrative examples are also treated.

Improving Conjugate Gradient Method for Training Feed Forward Neural Networks
Luma Naji Mohammed Tawfiq
 PP. 283 - 295
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ABSTRACT: In this paper, many modified and new algorithms have been proposed for training feed forward neural networks, many of them having a very fast convergence rate for reasonable size networks. In all of these algorithms we use the gradient of the performance function (energy function, error function) to determine how to adjust the weights such that the performance function is minimized, where the back propagation algorithm has been used to increase the speed of training. The above algorithms have a variety of different computation and thus different type of form of search direction and storage requirements, and all the above algorithms applied in approximation problem.

Mathematical Analysis of Variable Viscosity Fluid Flow through a Channel and Homotopy Analysis Method
V.Ananthaswamy, C.Sumathi1, M. Subha
 PP. 296 - 316
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ABSTRACT: This research article is to investigate a mathematical analysis of the non-linear boundary value problem for variable viscosity fluid flow through a channel with asymmetric convective cooling at the walls. The approximate analytical expressions of the dimensionless temperature and the dimensionless axial velocity are derived by using the Homotopy analysis method. Further the analytical expressions for the entropy generation number and Bejan number are also presented. The effect of variable viscosity parameter, the Brinkman number and the Biot numbers on the velocity, temperature and entropy generation profiles are presented graphically also. Our analytical results are also compared with the numerical methods and a satisfactory agreement is noted. This method can be further extended to solve the non-linear boundary value problems in engineering and applied sciences.

Generalized h-Randers Change of Finsler Metric
H.S. Shukla, O.P. Pandey and Neelam Mishra
 PP. 317 - 324
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ABSTRACT: The purpose of the present paper is to find the necessary and sufficient conditions under which a generalized h-Randers change of Finsler metric becomes a projective change .We have also found a condition under which a generalized h-Randers change of Douglas space becomes a Douglas space.

Explicit Solutions of a Generalized Hirota-Satsuma Equation Using Darboux Transformation
R. Sadat, A. A. Halim
 PP. 325 - 334
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ABSTRACT: A modified version of the generalized Hirota-Satsuma equation is solved analytically using Darboux transformations (DT). We start with the Lax pair of this equation and apply DT. This leads to another solvable pair containing a new eigenfunction that is a solution of the equation. Several seeds solutions are tested as well as one and two solitons forms are obtained using DT. A suitable choice of the seed fields leads to new solutions.

Optimal Order Policy for Deteriorating Items with Permissible Delay in Payments and Non-Linear Holding Cost
R.P. Tripathi and Shweta Singh Tomar
 PP. 335 - 351
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ABSTRACT: This paper deals with the deteriorated items where the demand rate is quadratic and constant deterioration rate is considered. The holding cost is considered as non-linear. Permissible delay in payments allowed to the inventory manager is also taken into account. The main objective of this model is to minimize the total cost without shortages. Numerical examples are provided to illustrate the theoretical results. Sensitivity analysis and graphical presentation of the major parameters with respect to the optimal solution is also carried out.