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Numerical Analysis of Singularly Perturbed Boundary Value Problems - Couverture souple

Latha K, Madhu

 
9783659883347: Numerical Analysis of Singularly Perturbed Boundary Value Problems
Couverture souple
ISBN 10 : 3659883344 ISBN 13 : 9783659883347
Editeur : LAP LAMBERT Academic Publishing, 2016

Synopsis

In general, any differential equation in which the highest order derivative is multiplied by a small positive parameter is called Singular Perturbation Problem. When we apply the existing standard numerical methods to these singular perturbation problems, we get oscillatory/ unsatisfactorily results. As a result of this, finding solutions of singularly perturbed boundary value problems has become most interesting and challenging task. Thus it is of considerable scientific interest to the researchers to develop simple and efficient computational methods for singularly perturbed two point boundary value problems. In this book, we have proposed and illustrated some simple and efficient numerical techniques for finding the solution of a singularly perturbed two point boundary value problems. This work consists of eight chapters. Chapter 1 deals with definition and survey on singular perturbation problems. Chapters 2 and 3 deals with Fitted methods. In Chapters 4 and 5 we discuss the special methods. Chapter 6 deals with an asymptotic technique. Chapter 7 deals with numerical integration method. Final chapter 8 deals with general conclusion and further scope of research.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In general, any differential equation in which the highest order derivative is multiplied by a small positive parameter is called Singular Perturbation Problem. When we apply the existing standard numerical methods to these singular perturbation problems, we get oscillatory/ unsatisfactorily results. As a result of this, finding solutions of singularly perturbed boundary value problems has become most interesting and challenging task. Thus it is of considerable scientific interest to the researchers to develop simple and efficient computational methods for singularly perturbed two point boundary value problems. In this book, we have proposed and illustrated some simple and efficient numerical techniques for finding the solution of a singularly perturbed two point boundary value problems. This work consists of eight chapters. Chapter 1 deals with definition and survey on singular perturbation problems. Chapters 2 and 3 deals with Fitted methods. In Chapters 4 and 5 we discuss the special methods. Chapter 6 deals with an asymptotic technique. Chapter 7 deals with numerical integration method. Final chapter 8 deals with general conclusion and further scope of research.

Biographie de l'auteur

Dr. Madhulatha K, completed her post Graduation and Ph. D in Numerical Analysis from National Institute of Technology, Warangal, Telangana, India Under the guidance of Dr. Y. N. Reddy, Professor of Mathematics, National Institute of Technology, Warangal. Presently she is working in Kamala Institute of Technology & Science, Karimnagar.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2016
Langue
anglais
ISBN 10 
3659883344
ISBN 13 
9783659883347
Reliure
Broché
Nombre de pages
160
Coordonnées du fabricant
non disponible
Personne responsable
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