Mathematical Modelling for Engineering and Physical Applications: Practical Examples and Case Studies

This edited volume from mathematical modelling experts employs a structured approach to showcase the latest research and provide a comprehensive guide to the principles, techniques and practical applications of mathematical modelling in the fields of engineering and the physical sciences.

Readers will gain an insight into the fundamentals of mathematical modelling, its application in engineering and the physical sciences, recent advances in the field, real-world case studies and challenges and future directions in the field. The book first introduces readers to the fundamentals of mathematical modelling, including the definition, scope and steps involved in the modelling process. Mathematical tools and techniques relevant to modelling are explained. The book then addresses the application of mathematical modelling in engineering and the physical sciences. It covers various domains, such as mechanical, biomedical, chemical, computer and environmental engineering, as well as green energy, physics and other physical science applications. Furthermore, the book explores the integration of data-driven approaches, leveraging the power of big data and analytics to enhance modelling capabilities. Through real-life case studies, readers gain practical insights into how mathematical modelling is applied in various industries and scientific disciplines. These case studies analyse the modelling process, challenges faced and outcomes achieved. Readers will gain a solid foundation to develop effective mathematical models and apply them to solve complex engineering and physical problems. This foundation will also enable them to tackle problems and make informed decisions in their own projects. Finally, readers will be able to anticipate and adapt to evolving technologies and stay ahead in their respective fields.

This book is a valuable resource primarily for undergraduate and graduate students seeking a comprehensive guide to this important discipline. Researchers, engineers and scientists will also benefit from the discussions within. Overall, the book empowers readers with the knowledge, skills and practical insights to effectively apply mathematical modelling in engineering and the physical sciences.

Mohd Hafiz Mohd holds a BSc (Hons) in Mathematics from Imperial College London, an MSc in Mathematics from Universiti Sains Malaysia, and a PhD in Computational and Applied Mathematics from the University of Canterbury, NZ. He is now an Associate Professor at Universiti Sains Malaysia, researching mathematical modelling in biology, engineering, and distinct complex systems.

Noor Atinah Ahmad graduated from the University of Bristol, UK with a B.Sc. (Hons) in Mathematics and obtained her Ph.D from the University of Southampton, UK. She is an Associate Professor at Universiti Sains Malaysia and her current research interest is in data-driven modelling of dynamical system.

Syakila Ahmad is a senior lecturer at the School of Mathematical Sciences, USM. She obtained her PhD in Fluid Dynamics from Universiti Putra Malaysia. Her research interests are fluid dynamics, convective heat and mass transfer, and mathematical modelling.

Md Yushalify Misro holds a BSc (Hons) and MSc (Hons) in mathematics, and a PhD in CAGD, all from Universiti Sains Malaysia. He joined Universiti Sains Malaysia in 2018 and has since researched various areas, including trigonometric and fractional Bézier curves and surfaces, developable surfaces, numerical splines and traffic simulation.

Mohamad Hekarl Uzir holds a BEng in Chemical Engineering from the University of Leeds, an MSc in Advanced Chemical Engineering from the University of London, and a PhD in Biochemical Engineering from UCL. He is now an Associate Professor at Universiti Sains Malaysia, specialising in biocatalysis, biotransformation and modelling of biocatalytic and bioprocess systems.