i-manager's Journal on Mathematics (JMAT)


Volume 7 Issue 4 October - December 2018

Research Paper

Chaos Control in a Chaotic Finance System by Lie Algebraic Exact Linearization

Mohammad * , Mohammed Raziuddin**
*Department of General Studies, College of Applied Sciences, Nizwa, Oman.
**Department of Information Technology, Nizwa College of Technology, Nizwa, Oman.
Shahzad, M., Raziuddin, M. (2018). Chaos Control in a Chaotic Finance System by Lie AlgebraicExact Linearization, i-manager's Journal on Mathematics, 7(4), 1-9. https://doi.org/10.26634/jmat.7.4.14941

Abstract

In this paper, the authors investigate the control of chaotic dynamics of a financesystem by implementing a Lie algebraic exact linearization technique.Controlling of chaos is based on feedback control law in which nonlinearcoordinateis transformed into linear one without the loss of generality. The authors use Mathematica for all simulation. All the analytical and graphical results confirm the robustness of the control in the considered finance system. A comparative graphical study between uncontrolled (original) and controlled trajectories has been presented through various plots.

Research Paper

On Construction of Discrete Wrapped Lindley Distribution

R. Srinivas* , G. V. L. N. Srihari**, S. V. S. Girija***
*Assistant Professor, Department of Mathematics, Hindu College, Guntur, Andhra Pradesh, Telangana, India.
** Associate Professor, Department of Mathematics, Aurora's Scientific Technological and Research Academy, Hyderabad, Andhra Pradesh, Telangana, India.
*** Associate Professor, Department of Mathematics, Hindu College, Guntur, Andhra Pradesh, Telangana, India.
Srinivas, R., Srihari, G. V. L. N., & Girija, S. V. S. (2008). On Construction of Discrete Wrapped Lindley Distribution, i-manager's Journal on Mathematics, 7(4), 10-19. https://doi.org/10.26634/jmat.7.4.15874

Abstract

In this paper, a new discrete circular distribution is constructed by applying the method of discretization for existing continuous circular distribution. The Wrapped Lindley Distribution is discretized and new circular model is Discrete Wrapped Lindley distribution. The probability mass function, cumulative distribution function, and characteristic function of the Discrete Wrapped Lindley Distribution are derived and population characteristics are studied using first two trigonometric moments. The graphs of the probability mass function and cumulative distribution function are plotted for different values of parameter by using MATLAB.

Research Paper

The Iterative Method for Strong Convergence of Variational Inequality with H-Accretive Operator

Poonam Mishra* , Shailesh Dhar Diwan**
*Department of Applied Mathematics, Amity School of Engineering and Technology, Amity University, Raipur, Chhattisgarh, India.
**Department of Applied Mathematics, Government Engineering College, Raipur, Chhattisgarh, India.
Mishra, P., Diwan, S. D. (2018). The Iterative Method for Strong Convergence of Variational Inequality with H-Accretive Operator, i-manager's Journal on Mathematics, 7(4), 20-26. https://doi.org/10.26634/jmat.7.4.15278

Abstract

In this paper, we have used a new iterative method given by Thuy (2016), for the class of H-Accretive operator in a q-uniformly smooth Banach space. Further, we have used this method to find a solution for the variational inequalities over the set of common fixed points of a family of nonexpansive mappings in Banach Space. Our result improves and generalizes some recent results in the literature.

Research Paper

Effects of Heat and Mass Transfer on MHD Flow of Viscoelastic Micro-Polar Fluid Through A Porous Medium with Heat Source and Chemical Reaction

Kuppala R. Sekhar*
Assistant Professor, Department of H & S, Vemu Institute of Technology, P. Kothakota, Chittoor District, Andhra Pradesh, India.
Sekhar, K. R. (2018). Effects of Heat and Mass Transfer on MHD Flow of Viscoelastic Micro-Polar Fluid Through a Porous Medium with Heat Source and Chemical Reaction, i-manager's Journal on Mathematics, 7(4), 27-38. https://doi.org/10.26634/jmat.7.4.15377

Abstract

The present study investigates heat and mass transfer effects on unsteady flow of a visco-elastic fluid over an infinite moving permeable plate in a saturated porous medium in the presence of a transverse magnetic field with chemical reaction and heat sink are studied. The governing equations are solved analytically by using general perturbation technique to obtain the expressions for velocity, micro-rotation, temperature and concentration. The result shows that the effect of the chemical reaction parameter and heat source parameter increases, with increasing in micro-rotation across the boundary layer while visco-elastic parameter decreases in the vicinity of the plate. With the aid of these, the expressions for skin-friction coefficient, Nusselt number and Sherwood numbers are presented in tabular form.

Research Paper

Effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate

M. Obulesu* , R. Siva Prasad**
* Research Scholar, Department of Mathematics, Sri Krishnadevaraya University, Anantapuram, Andhra Pradesh, India.
** Professor and Head, Department of Mathematics, Sri Krishnadevaraya University, Anantapuram, Andhra Pradesh, India.
Obulesu, M., Prasad, R. S. (2018). Effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate, i-manager's Journal on Mathematics, 7(4), 39-49. https://doi.org/10.26634/jmat.7.4.15561

Abstract

In this manuscript, an attempt is made to study the effect of Inclined Magnetic Field and Radiation Absorption on Mixed Convection Flow of a Chemically Reacting and Radiating Fluid Past a Semi Infinite Porous Plate. Analytical solutions are obtained by solving the constituted governing equations by using regular perturbation technique. The impact of various physical parameters on the flow quantities are studied numerically. The expressions for other important physical parameters such as skin friction coefficient, Nusselt number and Sherwood number are also presented and studied with the help of tables. The results of this study are more suitable with the existing literature in the absence of the extended parameters.