Industrial and applied mathematics is a specialised field that applies mathematical principles to address practical challenges encountered in industries such as engineering, economics and technology. It involves mathematical modelling, analysis and computational techniques to solve real-world problems. Key areas include optimization, where mathematical models optimise complex systems, and numerical analysis, which develops and evaluates numerical methods for efficient problem-solving. This field comprises the mathematical modelling of physical processes, statistical analysis of data and simulation of dynamic systems. Industrial and applied mathematics plays a pivotal role in enhancing technological advancements, improving process efficiency and facilitating informed decision-making through accurate quantitative analysis and computational simulations. It serves as a vital bridge between theoretical mathematical concepts and their practical applications across diverse industrial sectors and scientific domains. The topics covered in this extensive book deal with the core subjects of applied mathematics. The aim of this book is to present researches that have transformed this discipline and aided its advancement. Scientists and students actively engaged in this field will find this book full of crucial and unexplored concepts.