Items related to ANALYSIS OF NUMERICAL SCHEMES TO SINGULAR PERTURBATION...

ANALYSIS OF NUMERICAL SCHEMES TO SINGULAR PERTURBATION PROBLEMS: Numerical Investigation of a Class of Singularly Perturbed Differential Equations Exhibiting Layer Behaviour - Softcover

SRINIVAS, ERLA; Phaneendra, Kolloju

 
9783330048409: ANALYSIS OF NUMERICAL SCHEMES TO SINGULAR PERTURBATION PROBLEMS: Numerical Investigation of a Class of Singularly Perturbed Differential Equations Exhibiting Layer Behaviour
Softcover
ISBN 10: 3330048409 ISBN 13: 9783330048409
Publisher: LAP LAMBERT Academic Publishing, 2025

Synopsis

The primary goal of this book is to present, evaluate, and analyze efficient numerical methods for solving a specific class of singularly perturbed differential equations characterized by boundary and interior layer behaviors. Organized into six chapters, the book begins with a detailed overview of definitions, motivations, singular perturbation problems, differential-difference equations, boundary layers, and a comprehensive literature review. Subsequent chapters introduce advanced numerical methods, such as adaptive splines, numerical integration on specialized meshes, trigonometric splines, and fitted numerical schemes using the backward Euler method, to address interior layer problems, differential-difference equations, and singularly perturbed parabolic differential-difference equations. These studies underscore the significance of developing numerical techniques for singularly perturbed differential-difference equations. The research emphasizes creating simple, non-asymptotic, user-friendly, and efficient methods that are easily adaptable for computer implementation with minimal preparation.

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Publisher
LAP LAMBERT Academic Publishing
Publication date
2025
Language
English
ISBN 10 
3330048409
ISBN 13 
9783330048409
Binding
Paperback
Number of pages
104