Mathematical Solutions For Complex Engineering Systems

In an era where engineering challenges are becoming increasingly multifaceted, Mathematical Solutions for Complex Engineering Systems serves as a comprehensive guide bridging the gap between theory and real-world applications. This book explores advanced mathematical modeling techniques, computational approaches, and optimization strategies that drive innovation across various engineering disciplines.

This book brings together a diverse collection of research contributions that highlight:

• Deterministic, stochastic, linear, and nonlinear models essential for analyzing multi-physical systems, from fluid dynamics to reliability engineering.
• Cutting-edge methods such as finite element analysis, boundary element methods, Keller box techniques, and machine learning-driven modeling for solving complex engineering problems.
• Case studies on nuclear power plant reliability, eco-epidemiology, nanofluid heat transfer, and pesticide impact on agricultural sustainability.
• Novel mathematical frameworks, including fractional Taylor wavelets, B-spline methods, and variational principles, for tackling nonlinear differential equations.
• Advanced concepts such as tunnel mathematics, meshfree methods, and high-resolution computational fluid dynamics (CFD) models for solving contemporary engineering challenges.

Designed for researchers, engineers, and graduate students, this book provides a robust foundation in mathematical techniques and their practical applications. With contributions from leading experts, it offers a unique blend of theoretical depth and computational efficiency, making it an essential reference for tackling modern engineering complexities.

Dr. Satyvir Singh is a Research Associate Fellow at the Institute of Applied and Computational Mathematics, RWTH Aachen University, Germany. He obtained his Ph.D. in Computational Fluid Mechanics from Gyeongsang National University, South Korea, where he developed 3D discontinuous Galerkin methods for solving Boltzmann-type gas kinetic equations. He has held research positions at Nanyang Technological University, Singapore, and the Research Center for Aircraft Parts Technology in South Korea. His expertise spans computational fluid dynamics, high-order numerical methods, gas kinetic theory, and hydrodynamic instability. Dr. Singh has authored over 50 research articles with more than 700 citations and has presented his work globally. He has also received research funding as Co-PI for a project on brain tumor dynamics at Jazan University, Saudi Arabia.

Dr. Mukesh Kumar Awasthi is an Assistant Professor in the Department of Mathematics at Babasaheb Bhimrao Ambedkar University, Lucknow. Specializing in mathematical modeling of flow problems, he has expertise in viscous potential flow, electro-hydrodynamics, magneto-hydrodynamics, and heat and mass transfer. Dr. Awasthi has published over 135 research works, including books and journal articles, and has served as a series editor for CRC Press. He has received multiple research awards and secured funding for his project on nonlinear fluid interfaces. Recognized among the top 2% of researchers worldwide by Stanford University in 2022 and 2023, he continues to contribute significantly to computational mathematics and engineering applications.