High-Accuracy Methods for Singular Perturbation Problems: Fourth-Order Adaptive Cubic Spline and Variable Mesh Schemes for Solving Singular Perturbation Problems - Couverture souple

Mamatha, K.; Phaneendra, K.

 
9786203925197: High-Accuracy Methods for Singular Perturbation Problems: Fourth-Order Adaptive Cubic Spline and Variable Mesh Schemes for Solving Singular Perturbation Problems
Couverture souple
ISBN 10 : 6203925195 ISBN 13 : 9786203925197
Editeur : LAP LAMBERT Academic Publishing, 2025

Synopsis

This book presents efficient numerical strategies for solving singular perturbation problems, particularly focus on differential-difference equations involving small delay parameters. Singular perturbation problems in various fields of engineering and applied sciences such as fluid dynamics, elasticity, quantum mechanics, electrical networks, are known for their boundary layer behavior, which challenges conventional numerical methods. This book reviews the theoretical background and existing literature before introducing two high-accuracy techniques: a Fourth-Order Adaptive Cubic Spline Method and a Variable Mesh Scheme. These methods are rigorously analyzed for stability, convergence, accuracy and are validated through extensive numerical experimentation. The work is motivated by the limitations of classical techniques and addresses the growing demand for robust computational methods in fields such as fluid dynamics, quantum mechanics, and reaction- diffusion process.

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Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2025
Langue
anglais
ISBN 10 
6203925195
ISBN 13 
9786203925197
Reliure
Broché
Nombre de pages
76
Coordonnées du fabricant
non disponible
Personne responsable
non disponible