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ANALYSIS OF NUMERICAL SCHEMES TO SINGULAR PERTURBATION PROBLEMS

By Erla Srinivas

ANALYSIS OF NUMERICAL SCHEMES TO SINGULAR PERTURBATION PROBLEMS Mathematics

ANALYSIS OF NUMERICAL SCHEMES TO SINGULAR PERTURBATION PROBLEMS

0 - Default Title
Description
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.
Product details
Binding:
Paperback
Number of Pages:
104
Release Date:
2025-04-28
Publication Date:
2025-04-28
Publisher:
LAP LAMBERT Academic Publishing
Languages:
Original: English
ISBN10:
3330048409
ISBN13:
9783330048409
GPSR Manufacturer Reference:
[email protected]
Weight:
173 g
Height:
150 cm
Width:
220 cm
Thickness:
7 cm
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