Mathematical Modeling and Numerical Analysis

This book contains chapters of the proceedings presented at the UiTM International Conference of Mathematical Sciences 2024 (UICMS 2024), organized by Universiti Teknologi MARA (UiTM), Shah Alam, Selangor, Malaysia, from October 12–13, 2024. This book discusses research on a variety of topics, including numerical analysis, fractional order differential equations, mathematical biology, data envelopment analysis, and machine learning. These areas cover the fundamental aspects of mathematical modeling, differential equations, and the uncertainties in dynamic systems, necessitating the use of numerical approaches to solve complex mathematical problems and their applications.

In the realm of numerical analysis, this book explores differential equations from multiple perspectives, with a primary focus on their numerical solutions. It addresses contemporary challenges in the era of intelligence and analytics by examining various issues, presenting novel findings, and promoting sustainable developments in numerical methods. This book is designed for graduate students, researchers, and scientists in the fields of mathematics, engineering, physics, economics, and biology. It is particularly valuable for those engaged in interdisciplinary areas that employ mathematical modeling, differential equations, and numerical analysis to tackle their research problems.

Adibah Shuib is Associate Professor at the Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (UiTM), Shah Alam, Selangor, Malaysia. Earlier, she held various administrative posts including Deputy Dean (Academic) and Deputy Dean (Resources and Research) of Faculty of Computer and Mathematical Sciences, UiTM and Deputy Director (Research & Education) of the Malaysia Institute of Transport (MITRANS) and the Head of Strategic Planning for the Centre of Strategic Planning and Information, UiTM. She received her B.Sc. (Mathematics) and M.Sc. (Computational and Applied Mathematics) from the Old Dominion University, Virginia, USA, and Ph.D. (Mathematics and Statistics) from the University of Birmingham, United Kingdom, specializing in management mathematics and operations research. She is Fellow of the Institute of Mathematics and Its Applications (IMA), United Kingdom, Professional Technologist (Ts) recognized by MBOT and Instructor of Record of the Indiana University, USA.

Yu-Hong Dai is Vice-President of the Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences (CAS), Beijing, China. He received his B.Sc. degree in applied mathematics from the Beijing Institute of Technology, Beijing, China, in 1992. He then studied non-linear optimization in the Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, and received a Ph.D. in 1997. After his graduation, he worked in the Academy of Mathematics and Systems Science (AMSS), Chinese Academy of Sciences (CAS), Beijing, China, and became Full Professor in 2006. His research interests include continuous optimization, integer programming and various optimization applications. He has held editorial positions for several journals, including the Journal of Computational Mathematics, Computational Optimization and Applications, and Science China Mathematics. He won the China National Funds for Distinguished Young Scientists and a Best Paper Award at the 2011 International Conference on Communications.

Iskandar Shah Mohd Zawawi is Senior Lecturer at the Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (UiTM), Shah Alam, Selangor, Malaysia. He served as the Publication Coordinator for the Research and Innovation Office in the College of Computing, Informatics, and Mathematics, UiTM Shah Alam. He received his B.Sc. (Hons.) in Mathematics, M.Sc. in Applied Mathematics and Ph.D. in Numerical Analysis from the Universiti Putra Malaysia (UPM). After his graduation, he commenced his role as a lecturer at the UiTM Negeri Sembilan, Seremban campus. He later started the position of postdoctoral researcher at the Institute of Informatics and Computing in Energy, Universiti Tenaga Nasional (UNITEN), Malaysia. He has published numerous papers in indexed and high-impact journals and earned various awards in innovation competitions at both national and international levels. He has devoted his career to the advancement of knowledge in numerical analysis and applied mathematics, obtaining national and international research grants.