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2014

Journal

Applications and Applied Mathematics: An International Journal (AAM)

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Full-Text Articles in Physical Sciences and Mathematics

Certain Results For The Laguerre-Gould Hopper Polynomials, Subuhi Khan, Ahmed A. Al-Gonah Dec 2014

Certain Results For The Laguerre-Gould Hopper Polynomials, Subuhi Khan, Ahmed A. Al-Gonah

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we derive generating functions for the Laguerre-Gould Hopper polynomials in terms of the generalized Lauricella function by using series rearrangement techniques. Further, we derive the summation formulae for that polynomials by using different analytical means on its generating function or by using certain operational techniques. Also, generating functions and summation formulae for the polynomials related to Laguerre-Gould Hopper polynomials are obtained as applications of main results.

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On A Nonlinear Hyperbolic Partial Differential Equation With Irregular Data, Victor D´Evou´E Dec 2014

On A Nonlinear Hyperbolic Partial Differential Equation With Irregular Data, Victor D´Evou´E

Applications and Applied Mathematics: An International Journal (AAM)

The main purpose of this paper is to study the existence and properties of solutions of a certain nonlinear non-Lipschitz hyperbolic partial differential equation in two independent variables with irregular data. Using regularization techniques, we give a meaning to this problem by replacing it by a tow parameters family of Lipschitz regular problems. We prove existence and uniqueness of the solution in an appropriate algebra of generalized functions and we precise how it depends on the choices made. We study the relationship with the classical solution.

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Oscillation Results For Even Order Trinomial Functional Differential Equations With Damping, Ercan Tunç Dec 2014

Oscillation Results For Even Order Trinomial Functional Differential Equations With Damping, Ercan Tunç

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we investigate the oscillatory behavior of solutions to a certain class of nonlinear functional differential equations of the even order with damping. By using the integral averaging technique and Riccati type transformations, we prove four new theorems on the subject. Several examples are also considered to illustrate the main results.

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Domination Integrity Of Some Path Related Graphs, S. K. Vaidya, N. H. Shah Dec 2014

Domination Integrity Of Some Path Related Graphs, S. K. Vaidya, N. H. Shah

Applications and Applied Mathematics: An International Journal (AAM)

The stability of a communication network is one of the important parameters for network designers and users. A communication network can be considered to be highly vulnerable if the destruction of a few elements cause large damage and only few members are able to communicate. In a communication network several vulnerability measures like binding number, toughness, scattering number, integrity, tenacity, edge tenacity and rupture degree are used to determine the resistance of network to the disruption after the failure of certain nodes (vertices) or communication links (edges). Domination theory also provides a model to measure the vulnerability of a graph …

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Long Wavelength Analysis Of A Model For The Geographic Spread Of A Disease, Layachi Hadji Dec 2014

Long Wavelength Analysis Of A Model For The Geographic Spread Of A Disease, Layachi Hadji

Applications and Applied Mathematics: An International Journal (AAM)

We investigate the temporal and spatial evolution of the spread of an infectious disease by performing a long-wavelength analysis of a classical model for the geographic spread of a rabies epidemic in a population of foxes subject to idealized boundary conditions. We consider twodimensional and three-dimensional landscapes consisting of an infinite horizontal strip bounded by two walls a finite distance apart and a horizontal region bounded above and below by horizontal walls, respectively. A nonlinear partial differential evolution Equation for the leading order of infectives is derived. The Equation captures the space and time variations of the spread of the …

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Scaling Group Analysis On Mhd Free Convective Heat And Mass Transfer Over A Stretching Surface With Suction / Injection, Heat Source/Sink Considering Viscous Dissipation And Chemical Reaction Effects, Hunegnaw Dessie, Naikoti Kishan Dec 2014

Scaling Group Analysis On Mhd Free Convective Heat And Mass Transfer Over A Stretching Surface With Suction / Injection, Heat Source/Sink Considering Viscous Dissipation And Chemical Reaction Effects, Hunegnaw Dessie, Naikoti Kishan

Applications and Applied Mathematics: An International Journal (AAM)

This paper concerns with scaling group analysis on MHD free convective heat and mass transfer over stretching surface considering effects of thermal-diffusion and diffusion-thermo with suction /injection, heat source/sink and chemical reaction by taking into account viscous dissipation. Scaling group transformations are used to convert the partial differential equations of governing equations into ordinary differential equation and are solved numerically by Keller Box Method. Numerical results obtained for different parameters are drawn graphically and their effects on velocity, temperature and concentration profiles are discussed and shown graphically. Skin-friction coefficient, Nusselt number and Sherwood number are presented in table. It is …

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A Likelihood Ratio Test Approach To Profile Monitoring In Tourism Industry, R. Noorossana, H. Izadbakhsh, M. R. Nayebpour Dec 2014

A Likelihood Ratio Test Approach To Profile Monitoring In Tourism Industry, R. Noorossana, H. Izadbakhsh, M. R. Nayebpour

Applications and Applied Mathematics: An International Journal (AAM)

A new statistical profile monitoring technique to monitor and detect changes in logistic profiles with an application in the tourism industry is presented in this paper. In the statistical process control literature, profile is usually referred to as a relationship between a response variable and one or more explanatory variables. In the tourism case study presented in this paper, time is considered as the explanatory variable and tourism satisfaction as the response variable. The Likelihood ratio test is used as a vehicle to detect any changes in the satisfaction profile in phase II of profile monitoring. The performance of the …

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The Investigation Of Surplus Of Energy And Signal Propagation At Time-Domain Waveguide Modes, Özlem Işık, Zeynep F. Koçak, Emre Eroğlu Dec 2014

The Investigation Of Surplus Of Energy And Signal Propagation At Time-Domain Waveguide Modes, Özlem Işık, Zeynep F. Koçak, Emre Eroğlu

Applications and Applied Mathematics: An International Journal (AAM)

Classical waveguide theory has been developed bearing on Bernoulli’s product method which results in separation of space and time variables in Maxwell’s equations. The time-harmonic waveguide modes have been stated mathematically for transmitting signals along the waveguides. As a starting point, present studies on transverse-electric (TE) and transverse-magnetic (TM) waveguide modes with previous results are taken and exhibited in an advanced form. They have been obtained within the framework of an evolutionary approach to solve Maxwell’s equations with time derivative. As a result every modal field is obtained in the form of a product of vector functions of transverse coordinates …

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Applying Gmdh-Type Neural Network And Particle Warm Optimization For Prediction Of Liquefaction Induced Lateral Displacements, Reza A. Jirdehi, Hamidreza T. Mamoudan, Hossein H. Sarkaleh Dec 2014

Applying Gmdh-Type Neural Network And Particle Warm Optimization For Prediction Of Liquefaction Induced Lateral Displacements, Reza A. Jirdehi, Hamidreza T. Mamoudan, Hossein H. Sarkaleh

Applications and Applied Mathematics: An International Journal (AAM)

Lateral spreading and flow failure are amongst the most destructive effects of liquefaction. Estimation of the peril of lateral spreading requires characterization of subsurface conditions, principally soil density, fine content, groundwater conditions, site topography and seismic characteristics. In this paper a GMDH-type neural network and particle swarm optimization is developed for prediction of liquefaction induced lateral displacements. Using this method, a new model was proposed that is suitable for predicting the liquefaction induced lateral displacements. The proposed model was tested before the requested calculation. The data set which is contains 250 data points of liquefaction-induced lateral ground spreading case histories …

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A Semiparametric Estimation For Regression Functions In The Partially Linear Autoregressive Time Series Model, R. Farnoosh, M. Hajebi, S. J. Mortazavi Dec 2014

A Semiparametric Estimation For Regression Functions In The Partially Linear Autoregressive Time Series Model, R. Farnoosh, M. Hajebi, S. J. Mortazavi

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, a semiparametric method is proposed for estimating regression function in the partially linear autoregressive time series model . Here, we consider a combination of parametric forms and nonlinear functions, in which the errors are independent. Semiparametric and nonparametric curve estimation provides a useful tool for exploring and understanding the structure of a nonlinear time series data set to make for a more efficient study in the partially linear autoregressive model. The unknown parameters are estimated using the conditional nonlinear least squares method, and the nonparametric adjustment is also estimated by defining and minimizing the local L2 -fitting …

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Existence Of Mild Solutions For Semilinear Impulsive Functional Mixed Integro-Differential Equations With Nonlocal Conditions, Kamalendra Kumar, Rakesh Kumar Dec 2014

Existence Of Mild Solutions For Semilinear Impulsive Functional Mixed Integro-Differential Equations With Nonlocal Conditions, Kamalendra Kumar, Rakesh Kumar

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we prove the existence, uniqueness and continuous dependence of initial data on mild solutions of first order semilinear functional impulsive mixed integro-differential equations with nonlocal condition in general Banach spaces. The results are obtained by using the semigroup theory and Banach contraction theorem.

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An Optimal Harvesting Strategy Of A Three Species Syn-Ecosystem With Commensalism And Stochasticity, M. N. Srinivas, A. Sabarmathi, K. S. Reddy, M. A. S. Srinivas Dec 2014

An Optimal Harvesting Strategy Of A Three Species Syn-Ecosystem With Commensalism And Stochasticity, M. N. Srinivas, A. Sabarmathi, K. S. Reddy, M. A. S. Srinivas

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we have studied the stability of three typical species syn-ecosystem. The system comprises of one commensal S1 and two hosts S2 and S3 . Both S2 and S2 benefit S1 without getting themselves affected either positively or adversely. Further S2 is a commensal of S3 and S3 is a host of both S1 and S2. Limited resources have been considered for all the three species in this case. The model equations of the system constitute a set of three first order non-linear ordinary differential equations. …

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Modern Approach For Designing And Solving Interval Estimated Linear Fractional Programming Models, S. Ananthalakshmi, C. Vijayalakshmi, V. Ganesan Dec 2014

Modern Approach For Designing And Solving Interval Estimated Linear Fractional Programming Models, S. Ananthalakshmi, C. Vijayalakshmi, V. Ganesan

Applications and Applied Mathematics: An International Journal (AAM)

Optimization methods have been widely applied in statistics. In mathematical programming, the coefficients of the models are always categorized as deterministic values. However uncertainty always exists in realistic problems. Therefore, interval-estimated optimization models may provide an alternative choice for considering the uncertainty into the optimization models. In this aspect, this paper concentrates, the lower and upper values of interval estimated linear fractional programming model (IELFPM) are obtained by using generalized confidence interval estimation method. An IELFPM is a LFP with interval form of the coefficients in the objective function and all requirements. The solution of the IELFPM is also analyzed.

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Private Out-Domination Number Of Generalized De Bruijn Digraphs, G. Marimuthu, B. Johnson Dec 2014

Private Out-Domination Number Of Generalized De Bruijn Digraphs, G. Marimuthu, B. Johnson

Applications and Applied Mathematics: An International Journal (AAM)

Dominating sets are widely applied in the design and efficient use of computer networks. They can be used to decide the placement of limited resources, so that every node has access to the resource through neighbouring node. The most efficient solution is one that avoids duplication of access to the resources. This more restricted version of minimum dominating set is called an private dominating set. A vertex v in a digraph D is called a private out-neighbor of the vertex u in S (subset of V(D)) if u is the only element in the intersection of in-neighborhood set of v …

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Solution Of The Sir Models Of Epidemics Using Msgdtm, Asad A. Freihat, Ali H. Handam Dec 2014

Solution Of The Sir Models Of Epidemics Using Msgdtm, Asad A. Freihat, Ali H. Handam

Applications and Applied Mathematics: An International Journal (AAM)

Stochastic compartmental (e.g., SIR) models have proven useful for studying the epidemics of childhood diseases while taking into account the variability of the epidemic dynamics. Here, we use the multi-step generalized differential transform method (MSGDTM) to approximate the numerical solution of the SIR model and numerical simulations are presented graphically.

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Integrability And Exact Solutions For A (2+1)-Dimensional Variable-Coefficient Kdv Equation, Zhang Yu, Xu Gui-Qiong Dec 2014

Integrability And Exact Solutions For A (2+1)-Dimensional Variable-Coefficient Kdv Equation, Zhang Yu, Xu Gui-Qiong

Applications and Applied Mathematics: An International Journal (AAM)

By using the WTC method and symbolic computation, we apply the Painlevé test for a (2+1)-dimensional variable-coefficient Kortweg-de Vries (KdV) equation, and the considered equation is found to possess the Painlevé property without any parametric constraints. The auto-Bǎcklund transformation and several types of exact solutions are obtained by using the Painlevé truncated expansion method. Finally, the Hirota’s bilinear form is presented and multi-soliton solutions are also constructed.

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Steady Quadratic Stokes Flow Past Deformed Sphere: A Novel Perturbation Technique, Deepak K. Srivastava, Nirmal Srivastava, Raja R. Yadav Dec 2014

Steady Quadratic Stokes Flow Past Deformed Sphere: A Novel Perturbation Technique, Deepak K. Srivastava, Nirmal Srivastava, Raja R. Yadav

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, the problem of steady quadratic Stokes flow past a deformed sphere has been tackled with the use of a novel perturbation technique in both situations when a uniform stream is along the axis of symmetry (axial flow) and when it is perpendicular to the axis of symmetry (transverse flow). The most general form of the deformed sphere, governed by polar equation, is considered here for the study. The general expressions for axial and transverse Stokes drag for deformed sphere has been derived up to the second order of deformation parameter for parabolic and stagnation like parabolic flow. …

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Difference Cordial Labeling Of Graphs Obtained From Triangular Snakes, R. Ponraj, S. S. Narayanan Dec 2014

Difference Cordial Labeling Of Graphs Obtained From Triangular Snakes, R. Ponraj, S. S. Narayanan

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we investigate the difference cordial labeling behavior of corona of triangular snake with the graphs of order one and order two and also corona of alternative triangular snake with the graphs of order one and order two.

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A Novel Approach For Solving Burger’S Equation, Amruta Daga, Vikas Pradhan Dec 2014

A Novel Approach For Solving Burger’S Equation, Amruta Daga, Vikas Pradhan

Applications and Applied Mathematics: An International Journal (AAM)

The paper presents a new analytical method called Variational Homotopy Perturbation Method (VHPM), which is a combination of the well-known Variational Iteration method (VIM) and the Homotopy Perturbation method (HPM) for solving the one-dimensional Burger’s equation. Two test problems are presented to demontrate the efficiency and the accuracy of the proposed method.The numerical solutions obtained are compared with the exact solution. Furthermore, this method does not require spatial discretization or restrictive assumptions and is free from round-off errors and therefore reduce the numerical computation significanly. The results reveal that the Variational Homotopy Perturbation Method is very effective and convenient to …

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Modelling The Dynamics Of A Renewable Resource Under Harvesting With Taxation As A Control Variable, B. Dubey, Atasi Patra, S. K. Sahani Dec 2014

Modelling The Dynamics Of A Renewable Resource Under Harvesting With Taxation As A Control Variable, B. Dubey, Atasi Patra, S. K. Sahani

Applications and Applied Mathematics: An International Journal (AAM)

The present paper describes a model of resource biomass and population with a non-linear catch rate function on resource biomass. The harvesting effort is assumed to be a dynamical variable. Tax on per unit harvested resource biomass is used as a tool to control exploitation of the resource. Pontryagin’s Maximum Principle is used to find the optimal control to maintain the resource biomass and population at an optimal level. A numerical simulation is also carried out to support the analytical results.

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Effects Of Radiation Absorption And Thermo-Diffusion On Mhd Heat And Mass Transfer Flow Of A Micro-Polar Fluid In The Presence Of Heat Source, J. I. Oahimire, B. I. Olajuwon Dec 2014

Effects Of Radiation Absorption And Thermo-Diffusion On Mhd Heat And Mass Transfer Flow Of A Micro-Polar Fluid In The Presence Of Heat Source, J. I. Oahimire, B. I. Olajuwon

Applications and Applied Mathematics: An International Journal (AAM)

An analysis of the heat and mass transfer effects on an unsteady flow of a micro-polar fluid over an infinite moving permeable plate in a saturated porous medium in the presence of a transverse magnetic field, radiation absorption and thermo-diffusion were studied. The governing system of partial differential equations was transformed to dimensionless equations using suitable dimensionless variables. The dimensionless equations were then solved analytically using perturbation technique to obtain the expressions for the velocity, micro-rotation, temperature and concentration. With the help of graphs, the effects of the various important parameters such as the translational velocity, micro-rotational velocity, temperature and …

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A New Adjustment Of Laplace Transform For Fractional Bloch Equation In Nmr Flow, Sunil Kumar, Devendra Kumar, U. S. Mahabaleshwar Jun 2014

A New Adjustment Of Laplace Transform For Fractional Bloch Equation In Nmr Flow, Sunil Kumar, Devendra Kumar, U. S. Mahabaleshwar

Applications and Applied Mathematics: An International Journal (AAM)

This work purpose suggest a new analytical technique called the fractional homotopy analysis transform method (FHATM) for solving time fractional Bloch NMR (nuclear magnetic resonance) flow equations, which are a set of macroscopic equations that are used for modeling nuclear magnetization as a function of time. The true beauty of this article is the coupling of the homotopy analysis method and the Laplace transform method for systems of fractional differential equations. The solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive.

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String Fluid Cosmological Model With Magnetic Field In Bimetric Theory Of Gravitation, M. S. Borkar, N. P. Gaikwad Jun 2014

String Fluid Cosmological Model With Magnetic Field In Bimetric Theory Of Gravitation, M. S. Borkar, N. P. Gaikwad

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, LRS Bianchi type I string fluid cosmological model with magnetic field in bimetric theory of gravitation is investigated by assuming barotropic equation of state for pressure and density and assuming the bulk viscosity to be inversely proportional to the scalar expansion. The source of energy momentum tensor is a bulk viscous fluid containing one dimensional string with electromagnetic field. The physical and geometrical properties of the model are discussed. The bulk viscosity affected the whole properties of the model.

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Evaluation Of Schwarz Child’S Exterior And Interior Solutions In Bimetric Theory Of Gravitation, M. S. Borkar, P. V. Gayakwad Jun 2014

Evaluation Of Schwarz Child’S Exterior And Interior Solutions In Bimetric Theory Of Gravitation, M. S. Borkar, P. V. Gayakwad

Applications and Applied Mathematics: An International Journal (AAM)

In this note, we have investigated Schwarz child’s exterior and interior solutions in bimetric theory of gravitation by solving Rosen’s field equations and concluded that the physical singularities at r = 0 and at r =2M do not appear in our solution. We have ruled out the discrepancies between physical singularity and mathematical singularity at r = 2M and proved that the Schwarzschild exterior solution is always regular and does not break-down at r = 2M. Further, we observe that the red shift of light in our model is much stronger than that of Schwarz child’s solution in general relativity …

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Stability Of An Inhomogeneous Damped Vibrating String, Siddhartha Misra, Ganesh C. Gorain Jun 2014

Stability Of An Inhomogeneous Damped Vibrating String, Siddhartha Misra, Ganesh C. Gorain

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we consider the vibrations of an inhomogeneous damped string under a distributed disturbing force which is clamped at both ends. The well-possedness of the system is studied. We prove that the amplitude of such vibrations is bounded under some restriction of the disturbing force. Finally, we establish the uniform exponential stabilization of the system when the disturbing force is insignificant. The results are established directly by means of an exponential energy decay estimate.

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Acceptance Sampling Plans For Percentiles Based On The Exponentiated Half Logistic Distribution, G. S. Rao, Ch. R. Naidu Jun 2014

Acceptance Sampling Plans For Percentiles Based On The Exponentiated Half Logistic Distribution, G. S. Rao, Ch. R. Naidu

Applications and Applied Mathematics: An International Journal (AAM)

In this article, acceptance sampling plans are developed for the exponentiated half logistic distribution percentiles when the life test is truncated at a pre-specified time. The minimum sample size necessary to ensure the specified life percentile is obtained under a given customer’s risk. The operating characteristic values (and curves) of the sampling plans as well as the producer’s risk are presented. Two examples with real data sets are also given as illustration.

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Effects Of Radiation Absorption And Mass Transfer On The Free Convective Flow Passed A Vertical Flat Plate Through A Porous Medium In An Aligned Magnetic Field, V. Manjulatha, S. V. K. Varma, V. C. C Raju Jun 2014

Effects Of Radiation Absorption And Mass Transfer On The Free Convective Flow Passed A Vertical Flat Plate Through A Porous Medium In An Aligned Magnetic Field, V. Manjulatha, S. V. K. Varma, V. C. C Raju

Applications and Applied Mathematics: An International Journal (AAM)

This article analyses the effects of radiation absorption and mass transfer on the steady free convective flow of a viscous, incompressible and electrically conducting fluid past an infinite vertical flat plate through a porous medium with an aligned magnetic field. Analytical solutions for concentration, temperature, and velocity are obtained by solving the governing equations in two cases namely (i) when the plate is at uniform temperature and concentration and (ii) when the plate is at constant heat and mass flux. Further the rate of mass transfer in terms of the Sherwood number, rate of heat transfer in terms of Nusselt …

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Modelling The Flow Of Aqueous Humor In Schlemm’S Canal In The Eye, Ram Avtar, Swati Srivastava, Rashmi Srivastava Jun 2014

Modelling The Flow Of Aqueous Humor In Schlemm’S Canal In The Eye, Ram Avtar, Swati Srivastava, Rashmi Srivastava

Applications and Applied Mathematics: An International Journal (AAM)

A simple mathematical model for the transient flow of aqueous humor in the canal of Schlemm is developed to investigate the acceleration effects of a sudden elevation in the intraocular pressure on the flow characteristics of the aqueous humor in the canal. The model treats a canal segment as a tube of elliptic cross-section. Exact analytical solution to the model is obtained using separation of variables method. The effects of some important model parameters on the maximum and minimum shear stresses exerted on the Schlemm’s canal epithelial cells (wall) by flowing aqueous humor are investigated for the steady-state flow.

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Modeling The Transmission Dynamics Of Typhoid In Malaria Endemic Settings, Steady Mushayabasa, Claver P. Bhunu, Ngoni A. Mhlanga Jun 2014

Modeling The Transmission Dynamics Of Typhoid In Malaria Endemic Settings, Steady Mushayabasa, Claver P. Bhunu, Ngoni A. Mhlanga

Applications and Applied Mathematics: An International Journal (AAM)

Typhoid and malaria co-infection is a major public health problem in many developing countries. In this paper, a deterministic model for malaria and typhoid co-infection is proposed and analyzed. It has been established that the model exhibits a backward bifurcation phenomenon. Overall, the study reveals that a typhoid outbreak in malaria endemic settings may lead to higher cumulative cases of dually-infected individuals displaying clinical symptoms of both infections than singly-infected individuals displaying clinical symptoms of either malaria or typhoid.

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Effect Of Toxic Metal On Root And Shoot Biomass Of A Plant A Mathematical Model, O. P. Misra, Preety Kalra Jun 2014

Effect Of Toxic Metal On Root And Shoot Biomass Of A Plant A Mathematical Model, O. P. Misra, Preety Kalra

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, a mathematical model is proposed to study the impact of toxic metals on plant growth dynamics due to transfer of the toxic metal in plant tissues. In the model, it is assumed that the plant uptakes the metal from the soil through the roots and then it is transfered in the plant tissues and cells by transport mechanisms. It is observed experimently that when toxic (heavy) metals combines with the nutrient they form a complex compound due to which nutrient loses its inherent properties and the natural charaterstics of the nutrient are damaged. It is noticed that …

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