A descriptive account based on numerical modelling has been presented in this book. It documents case studies and applications developed by veterans for students and professionals associated with the fields of engineering, decision making management, technology, materials and other industries in which mathematical modelling plays a vital role. It elucidates various examples ranging from well-known standards to novelty applications. The term "model" is primarily comprehended as a group of equations which present the variables and interconnections of physical system or procedure. Models are developed and analyzed extensively, and authors cautiously consider the process for formulating a mathematical alternative to a phenomenon under consideration. For most cases, this results in partial differential equations, for the solution of which numerical methodologies need to be applied. Advancements in computer technology and associated software have presented several tools of enhancing power for specialists in mathematical modelling. This book will serve as a valuable reference for those interested in the field.