Open Access Short Research Article

A Novel Multiplier Using Vedic Mathematics and Booth Encoding

B. V. Srividya, T. Kiran Kumar

Journal of Advances in Mathematics and Computer Science, Page 1-9
DOI: 10.9734/JAMCS/2018/37931

In this paper a comparative study of multiplier is done for speed.  The concept used in the proposed algorithm is the combination of “Urdhva Tiryagbhyam” algorithm and Booth encoding for performing multiplication. The “Urdhva Tiryagbhyam” algorithm is an ancient Indian Vedic mathematics, which is used for multiplication to improve the speed and area [1].  The multipliers based on the concept of Booth encoding are compact and have significantly a higher speed when compared to their non encoded counterparts [2].

The approached architecture for a multiplier uses Booth encoder, Vedic Multiplier, along with parallel adders. The coding for the proposed multiplier is carried out using the hardware descriptive language namely VHDL. Subsequently the code is simulated and synthesized using Xilinx ISE 10.1 software. This multiplier is implemented on Spartan 3 FPGA devices XC3S50- 5pq208. The performance metrics for comparing the Booth encoded multiplier and the Vedic multiplier is the speed of operation and the device utilization summary, when both the algorithms are implemented on FPGA. It has been observed that the proposed design has speed improvements as compared to the other multipliers.

Open Access Original Research Article

Classification of Soya Beans Based Image Processing Techniques and Artificial Neural Network

Umar Faruk Abdulhamid, Simon Daniel, Usman Babawuro

Journal of Advances in Mathematics and Computer Science, Page 1-9
DOI: 10.9734/JAMCS/2018/39611

The benefits of using technology in agriculture cannot be overemphasised because of its impact that results in an increase in the quality and quantity of crops produced, minimising cost of farming, and providing suggestions for prompt action among others. Traditionally, to know the state of soya beans, farmers rely on observation to note the change in colour of the leaves so as to provide appropriate action to the crop. This process cannot be fully reliable as colour is subjective to human impression; and failure to act when there are changes in the state of the soya beans especially when affected by diseases can reduce the expected yield. The goal of this study is to classify soya beans leaves into various categories such as healthy, unhealthy/disease, ripe not ready for harvest and ripe ready for harvest so that prompt action can be taken. The work has employed the use of colour and texture features of leaves through image processing techniques in the pre-processing phase and artificial neural network for the classification with the aid MATLAB. An accuracy of 95.7% is obtained in the classification of the various categories of soya beans leaves.

Open Access Original Research Article

Incorporating Folding, Unfolding, Denaturation in a Mathematical Model for Cancer Spreading

T. A. Atabong, M. O. Oyesanya

Journal of Advances in Mathematics and Computer Science, Page 1-16
DOI: 10.9734/JAMCS/2018/40185

World known biological protein materials like arteries, bones, and tendons are constantly in a state of continuous stress due to their respective activities within the body. This stress will result in an increase in tissue residual temperature and consequently denaturation. The effects of denaturation on tumor initiation and progression are considered. All the parameters are integrated into a 9 step computational procedure, later transformed into a series of partial differential equations in time and space. A program was written to retrieve the steady states using parameters mined from existing and related models. The non-significant stable trivial steady state was observed to be driven unstable with an increase in the diffusion coefficient of the denatured cells. As denaturation increases, the progression of a tumor is exponential given a maker that denaturation favors the tumor population doubling model observed in many mathematical and biomedical studies. The outcome of this research can as well fit into other classes of tumors and will go a long way to contribute to the eventual eradication of tumor by suggesting elimination of stress of all forms in the body.

Open Access Original Research Article

Existence of Global Attractor for Cahn-Hilliard Perturbed Phase-Field System with Dirichlet Boundary Condition and Regular Potentiel

Mangoubi Jean De Dieu, Daniel Moukoko, Dieudonne Ampini, Fidele Moukamba

Journal of Advances in Mathematics and Computer Science, Page 1-20
DOI: 10.9734/JAMCS/2018/39176

Aims/ objectives: We are interested in a hyperbolic phase field system of Cahn-Hilliard type, parameterized by ϵ for which the solution is a function defined on (0; T) × Ω . We show the existence and uniqueness of the solutoin, existence of the global attractor for a hyperbolic phase field system of Cahn-Hilliard type, with homogenous conditions Dirichlet on the boundary, this system is governed by a regular potential, in a bounded and smooth domain. the hyperbolic phase field system of Cahn-Hilliard type is based on a thermomecanical theory of deformable continu.
Note that the global attractor is the smallest compact set in the phase space, which is invariant by the semigroup and attracts all bounded sets of initial data, as time goes to infinity. So the global attractor allows to make description of asymptotic behaviour about dynamic system.
Study Design: Propagation study of waves.
Place and Duration of Study: Departement of mathematics (group of research called G.R.A.F.E.D.P), Sciences Faculty and Technical of Marien NGOUABI University PO Box 69, between October 2015 and July 2016.

Methodology: To prove the existence of the global attractor to based of the classic methode about the perturbed hyperbolic system, with initial conditions and homogenous conditions Dirichlet on the boundary, we proceed by proving the dissipativity and regularity of the semigroup associated to the system, and we then split the semigroup such that we have the sum of two continuous operators, where the first tends uniformly to zero when the time goes to infinity, and the second is regularizing.
Results: We show the existence of global attractor, about a hyperbolic phase field system of Cahn-Hilliard type, governed by regular potential.
Conclusion: All the procedures explained in the methodology being demonstrated , we can assert the existence of the smallest compact set of the phase space, invariant by the semigroup and which attracts all the bounded sets of initial data from a some time.

Open Access Original Research Article

Investigation of Zeeman Models with Time Delays

Pinar Oral, Mehmet Merdan, Zafer Bekiryazici

Journal of Advances in Mathematics and Computer Science, Page 1-15
DOI: 10.9734/JAMCS/2018/35599

In this paper, the stability of the equilibrium points of the two dimensional Zeeman Heartbeat Model is investigated with time delay in cardiac muscle fiber or stimulator. The formulation of the heartbeat model is explained in the first part. Then, the stability conditions for the equilibrium points of the system are derived. Finally, some examples are given to illustrate the results of the study. The overall objective of this study is to investigate the effects of time delays on the dynamics of the Zeeman Heartbeat Model.