Open Access Original Research Article

Convergence Analysis of a Non-overlapping DDM for Optimal Absorbing Boundary Control Problems Governed by Wave Equations

Keying Ma, Wenyue Liu

Journal of Advances in Mathematics and Computer Science, Page 1-22
DOI: 10.9734/JAMCS/2017/34336

A non-overlapping domain decomposition method (DDM) is described to solve optimal boundary control problems governed by wave equations with absorbing boundary condition. The whole domain is divided into non-overlapping subdomains, and the global optimal boundary control problem is decomposed into local problems in these subdomains. An integral mean method is utilized to present an explicit flux calculation on the inter-domain boundary in order to communicate the local problems on the interfaces between subdomains. We establish the full parallel and discrete schemes for solving these local problems, and prove the stability of the schemes. A priori error estimates in suitable natural norms are derived for the state, co-state and control variables.

Open Access Original Research Article

A Machine Learning Algorithm Based on Inverse Problems for Software Requirements Selection

Ali Sever

Journal of Advances in Mathematics and Computer Science, Page 1-16
DOI: 10.9734/JAMCS/2017/34622

This paper describes the software requirements prioritization task and provides a systematic approach to determine what needs to be included in the next release of a software product. Minimizing the total cost of adding a new feature in the next release and maximizing overall customer satisfaction are contradictory objectives. In this paper, first, an adaptive multi-objective prioritization model is discussed. Then we describe how discrete inverse problems ideas can in fact be formulated to obtain a smooth local “Added Degree of Importance” (ADI) function of client requirements which could be used to classify and prioritize the software requirements for next release. The numerical implementation of the proposed model with a case study on software requirements selection shows the effectiveness of the multi-objective inverse model (IM) approach. The proposed model have been compared with some of the recent relevant models. Main future of the model is that it has been designed by the assignment of a real score for each of the requirements unlike just classification provided in the literature.

Open Access Original Research Article

Small Random Perturbations for Dynamical Systems with Reflecting Boundary in Besov-Orlicz Space

D. M. Rakotonirina, J. H. Andriatahina, T. J. Rabeherimanana

Journal of Advances in Mathematics and Computer Science, Page 1-16
DOI: 10.9734/JAMCS/2017/34443

This paper is devoted to prove Freidlin & Wentzell estimations for diffusion processes with reflecting boundary using a modification of Azencott’s method in Besov-Orlicz space defined by the Young function M2(x) = exp(x2) − 1.

Open Access Original Research Article

Activity Planner Using SAP OpenUI5 Application Framework

Suhas Bhattu, G. P. Potdar

Journal of Advances in Mathematics and Computer Science, Page 1-12
DOI: 10.9734/JAMCS/2017/34711

Aims/Objectives: To design a calendar component for scheduling activities which reduces the space required for representation. Design a Gantt chart with hierarchical activities which gives better visualization and understanding.

Study Design: Cross-sectional study.

Place and Duration of Study: Department of Computer Engineering, Pune Institute of Computer Technology, Pune, Maharashtra, India, between July 2016 and June 2017.

Methodology: We studied different calendar components available in the market including Microsoft Outlook Calendar and Google Calendar and identified drawbacks of them and then develop a generalized calendar control which schedules activities in the calendar and also develop the Gantt chart for activities by using the SAP OpenUI5 application framework. Also the classroom scheduling algorithm is included to schedule the activities on the activity planner. The proposed algorithm reduces the time for scheduling by taking the number of rooms in the classroom scheduling algorithm as constant, and only taking the number of activities as the input to the algorithm.

Results: Proposed calendar component schedules activities by using the classroom shceduling algorithm. Also using the OpenUI5 framework, calendar component ca ne designed which provides elegant and user friendly interface. Also the Gantt chart is designed with hierarchy of events which makes easy understanding of activities.

Conclusion: Our work makes the use of SAP OpenUI5 application framework for the use of calendar component and the Gantt chart component. This calendar supports the scheduling of the resources and the different views.

Open Access Original Research Article

Effects of Radiation and Chemical Reaction on MHD Unsteady Heat and Mass Transfer of Casson Fluid Flow Past a Vertical Plate

R. Biswas, M. Mondal, D. R. Sarkar, S. F. Ahmmed

Journal of Advances in Mathematics and Computer Science, Page 1-16
DOI: 10.9734/JAMCS/2017/34292

Effects of radiation and chemical reaction on MHD unsteady heat and mass transfer of Casson fluid flow past a vertical plate has been studied in this paper. The model equations are transformed into non-dimensional form by the as usual mathematical technique of transformation and the resultant non-dimensional partial differential equations are solved by using explicit finite difference method. The obtained results are plotted after stability test by using graphics software TECPLOT-9. The results are showed for various dimensionless parameters such as Casson parameter, Permeability of porous medium, Schmidt number, Grashof number, Prandtl number, Chemical reaction and Radiation parameter on velocity, temperature and concentration profiles along with the local skin friction, local Nusselt number and Sherwood number with the help of computer programming languages COMPAQ VISUAL FORTRAN 6.6a. The results are discussed with the help of graphs. Finally, we obtained that velocity decrease with an increase in Casson parameter, Permeability of porous medium and Chemical reaction  while it increase with increasing values of Radiation parameter and Grashof number. Temperature increase due to Radiation parameter but decrease for Prandtl number. Therefore, the results of the present problem have an excellent agreement with the results of Raju et al. [2].