Open Access Short Research Article

Application of Multiple Scale Method to a Discretized Financial PDE

Bright O. Osu, Okechukwu U. Solomon

Journal of Advances in Mathematics and Computer Science, Page 357-366
DOI: 10.9734/BJMCS/2015/18407

This paper presents an application of two way variable expansion method (multiple scale) for the calculation of the periodic solutions, resulted from a Hopf bifurcation of a discretized generic PDE in finance to a first order time-delay system arising from laser dynamics and a single inertial neural model with time delay. The two way variable expansion methods involve easy computation only, and yield estimation to the oscillatory movement of the price of stock with high accuracy.

Open Access Original Research Article

Positive Solutions for a Coupled Nonlinear Fractional Differential System with Coefficients that Change Signs

Zhoujin Cui, Zuodong Yang

Journal of Advances in Mathematics and Computer Science, Page 288-299
DOI: 10.9734/BJMCS/2015/17028

This paper investigates the existence of positive solutions of the nonlinear fractional di_erential system _

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where 0 < s; p < 1, Ds;Dp are the standard Riemann-Liouville fractional derivatives, λ; μ > 0 are parameters. The peculiarity of this coupled equations is the coe_cient functions a(t) and b(t) change signs, unlike the works in the literature keeping the signs of a(t); b(t) unchanged. On the basis of a nonlinear alternative of Leray-Schauder type and Krasnoselskii0s in a cone, suficient conditions on a(t); b(t) guarantee the existence of positive solution of the coupled equations are obtained. The results are illustrated with an example.

Open Access Original Research Article

Open Access Original Research Article

Open Access Original Research Article

On Hyperbolic Monomolecular Growth Model in Height/ Diameter Growth of PINES

Angela Unna CHUKWU, Samuel Oluwafemi OYAMAKIN

Journal of Advances in Mathematics and Computer Science, Page 320-327
DOI: 10.9734/BJMCS/2015/14141

This paper proposed a hyperbolic monomolecular growth model (HMMGM). The stabilizing parameter θ was introduced into the existing growth equations using a hyperbolic sine function given by. The reparametized equation namely, Hyperbolic Monomolecular Growth Equation, which was solved to obtain the proposed growth model. Residual errors were incorporated into the model additively and statistical tests of independence and normality of the error components was done. Pine data on height, Diameter and Age was used to test the comparative merits of the proposed model over its source model. The performance of the developed model based on data were tested in terms of general fitness and internal predictive status using model selection criteria like R-Square, Mean Square Error (MSE), and Akaike Information Criterion (AIC) among others.

Open Access Original Research Article

Software Quality Improvement Using Force-field Analysis

Makanjuola Daniel

Journal of Advances in Mathematics and Computer Science, Page 328-356
DOI: 10.9734/BJMCS/2015/14714

Today, global demands for quality products and services have moved quality assurance to the forefront. Just as quality is a determining factor for the survival of a product in a competitive market, quality system will be a requirement for the competitive survival of Information Technology (IT) firms in the future.
In my plight to improve the performance of software systems, I began by seeking the opinions of software developers, having conducted personal interview with some of the developers; It was perceived that some of the software developers were being exaggerative about the processes of software development. This made me to change my target audience from software developers to the users of software systems. The reason for this is because it is the software users that are always at the receiving end of every lapses, failure, error and mistakes incurred in the cause of developing software systems.
From my experience in this research, it was observed that, there are two categories of users; the power users who made use of software systems to render services and the common users who are the receiving audience of the services rendered by the power users.
The information received from the common users apparently reflects the level of performance of the software systems, thus I decided to work with the information received from them.
In the plight of improving the current level of performance of the software systems, I perceived that the best way to accomplish this is by shedding away the wrong practices and pattern of software development process by the developers, as well as the unethical ways of using the software systems (by the software users) and also to promote the supporting factors that influence the performance of software systems.
Using the requirement negotiation process embedded in win-win spiral model of software development, and with the aid of force field analysis, I have been able to establish a bench-mark that forms a foundational model for every software development project.

Open Access Original Research Article

Reservoir Network Modelling with Alternative Reservoir and Sediment Considerations

M. K. A. Abdulrahman, A. A. Mohd Ismail, Kek Sie Long

Journal of Advances in Mathematics and Computer Science, Page 367-379
DOI: 10.9734/BJMCS/2015/17200

Consideration of alternative reservoir in reservoir network for flood control is born out of the need to provide a complete formulation and provide solution to problem associated with sediment inflow. A set of (m+2) coupled nonlinear ODE is formulated for design and management of reservoir network for flood control. At steady state, the normal operating height of each reservoir in the network is determined. Linearizing the nonlinear systems and evaluating it at the obtained normal operating height give a clear and robust approach to determine the stability of the system. This approach to reservoir network modelling with inclusion of alternative reservoir gives a criterion for pump selection, flexible way of reservoir location and complete analysis of the network.