Conference Publications
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PublicationHigher order Taylor series-based method for solving nonlinear equations(AIP Publishing, 2024-09)This paper introduced a new iterative method for solving nonlinear equations using the derivative estimation technique for the third-order Taylor’s approximation. A comparative analysis of the new iterative technique to existing methods that can also be derived from Taylor’s approximation, such as Newton’s method (NM), Halley’s method (HM), and Gemechu’s method (GM), is also provided. A few examples of nonlinear equations have been solved where the results presented that the new iterative method has fourth-order convergence and is more accurate as compared to the previous methods.
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PublicationFuzzy Runge–Kutta Cash–Karp method under the interpretation of Hukuhara derivative(AIP Publishing, 2024)These days, researchers are interested in the study of fuzzy differential equations. Modeling can be applied to this fuzzy differential equation to find solutions related with real-world issues. Yet, it is challenging to solve this fuzzy differential equation analytically. Thus, the purpose of this study is to present the fuzzy Runge-Kutta Cash-Karp method to solve first-order fuzzy differential equation under the interpretation of Hukuhara derivative. By applying the fuzzy Runge-Kutta Cash-Karp method, the approximate solution is obtained and compared with the analytical solution. The results indicated that the approximate solutions of the proposed method are comparable to the analytical solutions in terms of accuracy.
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PublicationTeaching statistics with excel: a hands-on approach for engineering students to promote thinking skills(AIP Publishing, 2024)Statistics education has become increasingly important in today's data-driven world, as the ability to analyze and interpret data is critical in many disciplines. However, introductory statistics courses traditionally emphasize rote calculations and procedural knowledge, which can result in passive learning and disengagement from students who may not see the relevance of statistics to their engineering field. To address these challenges, this paper proposes using Excel worksheets as student learning materials in an introductory statistics course to shift from traditional to experiential learning. Excel worksheets provide a hands-on approach to learning that gives students the experience of the actual process of doing statistics. The Excel worksheet facilitates quick and accurate calculations, allows more time for students to interpret statistical results, and encourages active learning. The Excel worksheet allows for real-world data analysis and what-if analyses, making abstract concepts more accessible. In addition, the Excel worksheets are designed to promote 21st-century thinking and collaboration skills, which are increasingly important in today's workforce. This paper presents several examples of Excel worksheet designs for teaching descriptive statistics, developed using the framework of substitution, augmentation, modification, and redefinition (SAMR) model. Excel worksheets promote deep learning and facilitate students' understanding of statistical ideas, concepts, and methods through learning by doing. The paper concludes that Excel worksheets offer a valuable tool for teaching introductory statistics to engineering students, enhancing their thinking skills, and preparing them for the data-driven demands of their field.
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PublicationThe comparison of extreme rainfall prediction for Northern region of Peninsular Malaysia based on GEV and GPD models(AIP Publishing, 2024)Extreme rainfall prediction is a critical aspect in hydrological and climate research fields to estimate the probability of extreme events, such as heavy rainfall or floods. These extreme events occur all over the world and have a tremendous impact on human health, injury and illness, and the imbalance of the ecosystem. This paper aims to compare the prediction of extreme rainfall between generalized extreme value distribution (GEV) and generalized Pareto distribution (GPD) for 10 years return period. The daily rainfall data of northern region in Peninsular Malaysia were obtained from Department of Irrigation and Drainage Malaysia (DID) for 29 stations for the period 1999 to 2019 is used. The findings will be beneficial for hydrologists to improve understanding of the difference between the analysis of the standard data modeling with extreme data modeling as well as to understand the difference between two main approaches in extreme data analysis. Both models show Klinik Bkt. Bendera station will encounter the highest 10 years return level compared to the other stations. The maximum corresponding 10-years return value for GPD is 147.26mm while for GEV is 142.39mm. These values are reaching the very heavy category of rainfall intensity index in Malaysia.
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PublicationNumerical analysis of 25-year-old male and female voices via mechanical model of vocal cord using cubic B-spline collocation method(AIP Publishing, 2024)Vocal cords play an important role in human speech production. The development of mechanical models of vocal cords has increased the understanding of their role and functionality. Numerous numerical studies have been explored to investigate the properties of vocal cord. In this work, one-mass mechanical model of vocal cord has been identified to be solved numerically using B-spline collocation method. Parameters of the model have been extracted from 25 years old male and female voices. Displacement of vocal cord at time, t, have been generated explore for each voice. The number of phases and highest displacement have also been discovered in the finding. Duration of first phase of each voice has also been explored.