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

Language: English

Published by LAP LAMBERT Academic Publishing, 2025

3330048409 / 9783330048409

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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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Title
ANALYSIS OF NUMERICAL SCHEMES TO SINGULAR PERTURBATION PROBLEMS : Numerical Investigation of a Class of Singularly Perturbed Differential Equations Exhibiting Layer Behaviour
Author
Erla Srinivas
Publisher
LAP LAMBERT Academic Publishing
Publication year
2025
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3330048409
ISBN 13
9783330048409
Item weight
173 grams
Dimensions
220x150x7 mm

AHA-BUCH GmbH

Einbeck, Germany

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