Description
Book Synopsis: Introduction to Singular Perturbations provides an overview of the fundamental techniques for obtaining asymptotic solutions to boundary value problems. This text explores singular perturbation techniques, which are among the basic tools of several applied scientists. This book is organized into eight chapters, wherein Chapter 1 discusses the method of matched asymptotic expansions, which has been frequently applied to several physical problems involving singular perturbations. Chapter 2 considers the nonlinear initial value problem to illustrate the regular perturbation method, and Chapter 3 explains how to construct asymptotic solutions for general linear equations. Chapter 4 discusses scalar equations and nonlinear system, whereas Chapters 5 and 6 explain the contrasts for initial value problems where the outer expansion cannot be determined without obtaining the initial values of the boundary layer correction. Chapters 7 and 8 deal with boundary value problem that arises in the study of adiabatic tubular chemical flow reactors with axial diffusion. This monograph is a valuable resource for applied mathematicians, engineers, researchers, students, and readers whose interests span a variety of fields.
Details
Are you tired of struggling to find solutions to complex boundary value problems? Look no further! Our book, Introduction to Singular Perturbations, is here to provide you with the fundamental techniques needed to obtain asymptotic solutions. Whether you're an applied scientist, engineer, or student, this comprehensive guide will equip you with the necessary tools to overcome any obstacle.
With eight meticulously organized chapters, you'll explore various methods, starting with the widely used matched asymptotic expansions in Chapter 1. Unravel the mysteries of regular perturbation methods in Chapter 2, while Chapter 3 guides you through constructing asymptotic solutions for general linear equations. Delve into the intricacies of scalar equations and nonlinear systems in Chapter 4, and discover how to tackle initial value problems with Chapters 5 and 6.
However, our book doesn't stop there. Chapters 7 and 8 provide valuable insights into boundary value problems arising from the study of adiabatic tubular chemical flow reactors with axial diffusion. This makes Introduction to Singular Perturbations a must-have resource for anyone involved in these fields.
Don't miss out on the opportunity to enhance your knowledge and skills. Order your copy of Introduction to Singular Perturbations today and join the community of successful applied mathematicians, engineers, and researchers who have benefitted from this invaluable resource.
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