Solving singular perturbation with one boundary layer problem of second order ODE using the method of matched asymptotic expansion (MMAE) / Firdawati Mohamed and Masnira Ramli

Any physical problems when modeled into equations, may become linear or nonlinear equations with known and unknown boundaries. The exact solution for those equations is not easy to obtain. Hence, an analytical approximation solution in terms of asymptotic expansion is sought. This study seeks to solve a singular perturbation in second order ordinary differential equations. Solutions to several perturbed ordinary differential equations are obtained in terms of asymptotic expansion. The main focus of this study is to find an approximate analytical solution for perturbation problems (linear and nonlinear equations) that occur at one boundary layer using the classical method of matched asymptotic expansion (MMAE). Besides, the underlying concepts and principles of MMAE will also be clarified. Mathematica computer algebra system is used to perform the detail algebraic computations. The results of approximation analytical solution are illustrated by graphs using selected parameters which show the outer, inner and composite solutions separately. Hence, the exact solution and composite solution obtained using MMAE are compared by plotting the graph to show their accuracy. From the comparison, MMAE is one of the best methods to solve singular perturbation problems in second order ordinary differential equation since the results obtained are very close to the exact solution

Efficient sensor position selection using graph connectivity / Firdawati Mohamed ...[et al.]

The traffic control has to be managed systematically to avoid the traffic congestion especially in the busy city. The efficient and systematic traffic control is studied in this research using the connectivity and compatibility graphs of traffic intersections. From the graphs drawn, the most efficient route can be determined and the capacity of traffic flow can be maximized by finding the minimum number of edges or the minimum number of vertices. In this paper, the 4-ways intersection stream at Jalan Membunga Machang is chosen to find suitable locations to place sensors that are used to collect traffic data. From the graphs obtained, there are 12 vertices identified where 36 edges were connected to it. By using the algorithm of graph theory, four sets of minimal edge control were determined and these edges were validated using the MAPLE softwar

Measuring customer satisfaction of service quality by fuzzy evaluation approach

Service quality plays an essential part in customer satisfaction. There are many approaches to measure customer satisfaction through delivery of service quality. One of the issue that leave the decision maker in an awkward position in selecting the most appropriate criteria available is by customer satisfaction. Therefore, the purpose of this study is to evaluate the customer satisfaction of service quality by using advanced methods; fuzzy evaluation approach. The service quality selected is based on five criteria, which are tangible, responsiveness, assurance, empathy, and reliability. The linguistic term of each criterion is used to get the best evaluation result. The developed questionnaire is distributed to twenty experts in the service quality at Jabatan Hal Ehwal Agama Islam Kelantan (JHEAIK) for one day duration. The findings showed that all the criterias meet the high level of service quality with the level satisfaction in between 0.6 and 0.8. The lowest ranking level of satisfaction are Responsiveness (C2) and Reliability (C5). Meanwhile, Tangible (C1) and Empathy (C4) are the the middle value of customer satisfaction. Lastly, with the highest value of level satisfaction which is Assurance (C3). The outcome of the study will help to increase customer satisfaction at JHEAIK by improving their management service quality according to each criteria. Therefore, the fuzzy evaluation is a powerful approach to evaluate the criteria level for customer satisfaction in service quality

Multi-criteria decision making for smartphone brand selection using Neutrosophic Soft Set

This study explores the use of Neutrosophic Soft Set (NSS) in selecting the best smartphone brand for consumers, as the market is flooded with numerous brands and criteria, making it challenging for consumers to choose a smartphone that aligns with their preferences and interests. NSS is a mathematical tool that is effective in resolving decision-making problems involving uncertainty and inconsistent data. The study's objective is to demonstrate that NSS successfully handles complex decision-making problems involving uncertainty and inconsistent data. The study's results indicate that NSS can effectively manage high levels of uncertainty in smartphone selection, making it a valuable tool for consumers faced with such decisions. The result obtained by NSS for the chosen criteria and alternative is then used in comparative analysis to assess the accuracy of the method