Advanced Computational and Mathematical Approaches in Applied Differential Equations explores cutting-edge techniques and methodologies in solving complex differential equations, a cornerstone of mathematical modeling across science and engineering. The book bridges theory and application, offering advanced computational strategies and innovative mathematical insights to address real-world problems. Beginning with an overview that presents a unified framework that defines the types of diff...

This book brings out analytical paradigms and research outcomes of novel assistive robots that are deployed in healthcare or surveillance and indoor service or agricultural activity. It attends to specific design-thread and hardware paradigms of the ensemble domain of assistive robots. This book addresses important research issues of assistive robotics, such as introduction of skewed co-ordinate reference frame (in lieu of the Cartesian system), kinematics of compliant systems, non-linear ...

This book details relevant research toward design and modeling issues for the firmware of higher-order flexible robotic systems (FRS) with concerned chapters delineating state-of-the-art research in FRS, focusing on novel designs and prototype hardware development of different types of multi-link serial-chain as well as closed-loop flexible manipulators. Other concepts explained include bio-inspired robotics, modular robotics, and worm robotics along with proposition of adhesive contact me...

Soft computing is an emerging discipline which aims to exploit tolerance for imprecision, approximate reasoning, and uncertainty to achieve robustness, tractability, and cost effectiveness for building intelligent machines. Soft computing methodologies include neural networks, fuzzy sets, genetic algorithms, Bayesian networks, and rough sets, among others. In this regard, neural networks are widely used for modeling dynamic solvers, classification of data, and prediction of solutions, wher...

Dimensionality Reduction in Machine Learning covers both the mathematical and programming sides of dimension reduction algorithms, comparing them in various aspects. Part One provides an introduction to Machine Learning and the Data Life Cycle, with chapters covering the basic concepts of Machine Learning, essential mathematics for Machine Learning, and the methods and concepts of Feature Selection. Part Two covers Linear Methods for Dimension Reduction, with chapters on Principal Componen...

There are various types of waves including water, sound, electromagnetic, seismic and shock etc. These waves need to be analyzed and understood for different practical applications. This book is an attempt to consider the waves in detail to understand the physical and mathematical phenomena. A major challenge is to model waves by experimental studies.The aim of this book is to address the efficient and recently developed theories along with the basic equations of wave dynamics. The latest ...

Vibration problems are commonly encountered in a wide range of scientific and technological domains. Covering the most recent computational and theoretical trends in the field, these books provide a state-of-the-art treatment of different mathematical theories of vibration, numerical simulations, machine intelligence techniques and physical experiments with computational investigations, as well as their various engineering, biological and science applications. The second of two volumes, th...

Computation and Modeling for Fractional Order Systems provides readers with problem-solving techniques for obtaining exact and/or approximate solutions of governing equations arising in fractional dynamical systems presented using various analytical, semi-analytical, and numerical methods. In this regard, this book brings together contemporary and computationally efficient methods for investigating real-world fractional order systems in one volume. Fractional calculus has gained increasing...

Computational Fractional Dynamical SystemsA rigorous presentation of different expansion and semi-analytical methods for fractional differential equationsFractional differential equations, differential and integral operators with non-integral powers, are used in various science and engineering applications. Over the past several decades, the popularity of the fractional derivative has increased significantly in diverse areas such as electro...

This book contains select chapters on support vector algorithms from different perspectives, including mathematical background, properties of various kernel functions, and several applications. The main focus of this book is on orthogonal kernel functions, and the properties of the classical kernel functions—Chebyshev, Legendre, Gegenbauer, and Jacobi—are reviewed in some chapters. Moreover, the fractional form of these kernel functions is introduced in the same chapters, and for ease of u...

Polynomials play an important role in developing numerical and analytical methods to solve various practical problems of physics, mathematics, engineering and industry. This research and reference text reports and reviews recent developments and applications of different polynomials in numerical and analytical/semi-analytical methods for solving a variety of science and engineering problems. It contains contributions from leading experts in areas such as basic theory and concepts of polyno...

Vibration problems are commonly encountered in a wide range of scientific and technological domains. Covering the most recent computational and theoretical trends in the field, these books provide a state-of-the-art treatment of different mathematical theories of vibration, numerical simulations, machine intelligence techniques and physical experiments with computational investigations, as well as their various engineering, biological and science applications. The first of two volumes, thi...