The investigation of the behavior of ferromagnetic particles in an external magnetic field is important for use in a wide range of applications in magnetostatics problems, from biomedicine to engineering. To the best of the author's knowledge, the systematic analysis for this kind of investigation is not available in the current literature. Therefore, this book contributes a complete solution for investigating the behavior of two ferromagnetic spherical particles, immersed in a uniform magnetic field, by obtaining exact mathematical models on a boundary value problem. While there are a vast number of common numerical and analytical methods for solving boundary value problems in the literature, the rapidly growing complexity of these solutions causes increase usage of the computer tools in practical cases.
We analytically solve the boundary value problem by using a special technique called a bispherical coordinates system and the numerical computations were obtained by a computer tool. In addition to these details, we will present step-by-step instructions with simple explanations throughout the book, in an effort to act as inspiration in the reader's own modeling for relevant applications in science and engineering. On the other hand, the resulting analytical expressions will constitute benchmark solutions for specified geometric arrangements, which are beneficial for determining the validity of other relevant numerical techniques. The generated results are analyzed quantitatively as well as qualitatively in various approaches. Moreover, the methodology of this book can be adopted for real-world applications in the fields of ferrohydrodynamics, applied electromagnetics, fluid dynamics, electrical engineering, and so forth. Higher-level university students, academics, engineers, scientists, and researchers involved in the aforementioned fields are the intended audience for this book.

Gehan Anthonys is a Lecturer in the Department of Electrical and Computer Engineering at the Open University of Sri Lanka (OUSL) and currently pursuing his Ph.D. in Engineering from the School of Engineering at the University of Waikato, New Zealand. He received a B.Sc. degree in Applied Sciences at the University of Sri Jayewardenepura, Sri Lanka, in 2001, and a B.Tech. degree in Computer Engineering at OUSL in 2005. He got M.Sc. degrees in Industrial Automation at the University of Moratuwa, Sri Lanka, and in Electrical and Computer Engineering at the University of Manitoba, Canada, in 2009 and 2014, respectively. He has 10 publications in refereed journals and conference proceedings together. His current research interests are in the fields of mathematical modeling, applied electromagnetic, and signal and image processing.

Preface.- Acknowledgments.- Symbols.- Introduction.- Numerical and Analytical Methods on Boundary Value Problems.- Governing Equations.- Mathematical Model.- Results and Numerical Analysis.- Conclusions.- Solutions.- Bibliography.- Author's Biography.- Index .