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Full-Text Articles in Physics

Stability Of A Regular Black Holes Thin-Shell Wormhole In Reissner-Nordstrom - De Sitter Space-Time, A. Eid Dec 2019

Stability Of A Regular Black Holes Thin-Shell Wormhole In Reissner-Nordstrom - De Sitter Space-Time, A. Eid

Applications and Applied Mathematics: An International Journal (AAM)

The dynamics regular black holes thin shell wormhole with a phantom energy equation of state in Reissner-Nordstrom - De sitter space-time is studied using the Darmois-Israel formalism. A mechanical stability analysis is carried out by using the standard perturbation method. The stable and unstable static solution depends on the suitable value of parameters.


Cyclic Kite Configuration With Variable Mass Of The Fifth Body In R5bp, Abdullah A. Ansari, Ashraf Ali, Mehtab Alam, Rabah Kellil Dec 2019

Cyclic Kite Configuration With Variable Mass Of The Fifth Body In R5bp, Abdullah A. Ansari, Ashraf Ali, Mehtab Alam, Rabah Kellil

Applications and Applied Mathematics: An International Journal (AAM)

This paper presents a numerical investigation on some characteristics and parameters related to the motion of an infinitesimal body with variable mass in five-body problem. The other four bodies are considered as primaries. The whole system forms a cyclic kite configuration and moves on a circle, the center of which is taken as the origin.We assume that the motion of the fifth infinitesimal body is affected by the other components of the system but it has no effect on their behavior. We started by setting the equations of motion of the fifth body by using Jeans’ law and Meshcherskii’s space-time …


Application Of Reduced Differential Transform Method For Solving Two-Dimensional Volterra Integral Equations Of The Second Kind, Seyyedeh R. Moosavi Noori, Nasir Taghizadeh Dec 2019

Application Of Reduced Differential Transform Method For Solving Two-Dimensional Volterra Integral Equations Of The Second Kind, Seyyedeh R. Moosavi Noori, Nasir Taghizadeh

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we propose new theorems of the reduced differential transform method (RDTM) for solving a class of two-dimensional linear and nonlinear Volterra integral equations (VIEs) of the second kind. The advantage of this method is its simplicity in using. It solves the equations straightforward and directly without using perturbation, Adomian’s polynomial, linearization or any other transformation and gives the solution as convergent power series with simply determinable components. Also, six examples and numerical results are provided so as to validate the reliability and efficiency of the method.


Exact Solutions For Bianchi Type-I Cosmological Models In F(R) Theory Of Gravity, A. H. Hasmani, Ahmed M. Al-Haysah Jun 2019

Exact Solutions For Bianchi Type-I Cosmological Models In F(R) Theory Of Gravity, A. H. Hasmani, Ahmed M. Al-Haysah

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we attempt to study spatially homogeneous Bianchi type-I cosmological models in f(R) theory of gravity. The exact solutions of the Einstein’s field equations (EFEs) have been obtained by assuming that the expansion θ is proportional to the shear δ and by using a special form of Hubble parameter (HP). Here we find two exact solutions by using the variation law of H based on two different values of n. The physical and geometrical properties of these models have been discussed and the function f(R) of the Ricci scalar R is obtained for each case.


Generalized Bagley-Torvik Equation And Fractional Oscillators, Mark Naber, Lucas Lymburner Jun 2019

Generalized Bagley-Torvik Equation And Fractional Oscillators, Mark Naber, Lucas Lymburner

Applications and Applied Mathematics: An International Journal (AAM)

In this paper the Bagley-Torvik Equation is considered with the order of the damping term allowed to range between one and two. The solution is found to be representable as a convolution of trigonometric and exponential functions with the driving force. The properties of the effective decay rate and the oscillation frequency with respect to the order of the fractional damping are also studied. It is found that the effective decay rate and oscillation frequency have a complex dependency on the order of the derivative of the damping term and exhibit properties one might expect of a thermodynamic Equation of …


Comparative Analysis On Angular Flow And Mass Transfer In Haemodialysis, J. K. Misra, Pradeep K. Singh, Naseem Ahmad, Pankaj Sharma Jun 2019

Comparative Analysis On Angular Flow And Mass Transfer In Haemodialysis, J. K. Misra, Pradeep K. Singh, Naseem Ahmad, Pankaj Sharma

Applications and Applied Mathematics: An International Journal (AAM)

Healthy kidney cleans blood and removes unwanted materials in the form of urine. When the kidney does not work properly, dialysis is one of the best solutions. Dialysis required if unhealthy kidney does not remove enough wastes and fluid from the blood. This usually happens when only 10 - 15 % of kidney’s function left. A dialyzer is used to clean blood. In an attempt to address clinical and experimental discrepancies, compartmental theoretical models have been used. Noda et al. (1979) were among the first to introduce a theoretical model on mass transfer using countercurrent flows. Their proposed model assumes …


Resonance In The Motion Of A Geocentric Satellite Due To Poynting-Robertson Drag And Equatorial Ellipticity Of The Earth, Charanpreet Kaur, Binay K. Sharma, Sushil Yadav Jun 2019

Resonance In The Motion Of A Geocentric Satellite Due To Poynting-Robertson Drag And Equatorial Ellipticity Of The Earth, Charanpreet Kaur, Binay K. Sharma, Sushil Yadav

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, the problem of resonance in a motion of a geocentric satellite is numerically investigated under the consolidated gravitational forces of the Sun, the Earth including Earth’s equatorial ellipticity parameter and Poynting-Robertson (P-R) drag. We are presuming that bodies lying on an ecliptic plane are the Sun and the Earth, and satellite on orbital plane. Resonance is monitored between satellite’s mean motion and average angular velocity of the Earth around the Sun, and also between satellite’s mean motion and equatorial ellipticity parameter of the Earth. We also perform a systematic and thorough analysis in an attempt to understand …


Analysis Of An Eco-Epidemiological Model Under Optimal Control Measures For Infected Prey, Alfred Hugo, Emanuel Simanjilo Jun 2019

Analysis Of An Eco-Epidemiological Model Under Optimal Control Measures For Infected Prey, Alfred Hugo, Emanuel Simanjilo

Applications and Applied Mathematics: An International Journal (AAM)

This paper examines the analysis of an eco-epidemiological model with optimal control strategies for infected prey. A model is proposed and analyzed qualitatively using the stability theory of the differential equations. A local and global study of the model is performed around the disease-free equilibrium and the endemic equilibrium to analyze the global stability using the Lyapunov function. The time-dependent control is introduced into the system to determine the best strategy for controlling the disease. The results obtained suggested the separation of the infected population plays a vital role in disease elimination.


A Study Of Transversely Isotropic Thermoelastic Beam With Green-Naghdi Type-Ii And Type-Iii Theories Of Thermoelasticity, Parveen Lata, Iqbal Kaur Jun 2019

A Study Of Transversely Isotropic Thermoelastic Beam With Green-Naghdi Type-Ii And Type-Iii Theories Of Thermoelasticity, Parveen Lata, Iqbal Kaur

Applications and Applied Mathematics: An International Journal (AAM)

The present research deals with the study of transversely isotropic thermoelastic beam in the context of Green-Naghdi (GN) theory of thermoelasticity of Type-II and Type-III. The mathematical model is prepared for the thin beam in a closed form with the application of Euler Bernoulli beam theory. The Laplace Transform technique has been used to find the expressions for displacement component, lateral thermal moment, deflection and axial stress in transformed domain. The general algorithm of the inverse Laplace Transform is developed to compute the results numerically in physical domain. The effect of two theories of thermoelasticity Green-Naghdi-II and Green-Naghdi-III has been …


Transient Thermal Stresses Due To Axisymmetric Heat Supply In A Semi-Infinite Thick Circular Plate, S. D. Warbhe, K. C. Deshmukh Jun 2019

Transient Thermal Stresses Due To Axisymmetric Heat Supply In A Semi-Infinite Thick Circular Plate, S. D. Warbhe, K. C. Deshmukh

Applications and Applied Mathematics: An International Journal (AAM)

The present paper deals with the determination of thermal stresses in a semi-infinite thick circular plate of a finite length and infinite extent subjected to an axisymmetric heat supply. A thick circular plate is considered having constant initial temperature and arbitrary heat flux is applied on the upper and lower face. The governing heat conduction equation has been solved by using integral transform technique. The results are obtained in terms of Bessel’s function. The thermoelastic behavior has been computed numerically and illustrated graphically for a steel plate.