Differential Equations and Numerical Analysis Tiruchirappalli, India

This book offers an ideal introduction to singular perturbation problems, and a valuable guide for researchers in the field of differential equations. It also includes chapters on new contributions to both fields: differential equations and singular pertu

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Valarmathi Sigamani John J.H. Miller Ramanujam Narasimhan Paramasivam Mathiazhagan Franklin Victor Editors

Differential Equations and Numerical Analysis Tiruchirappalli, India, January 2015

Springer Proceedings in Mathematics & Statistics Volume 172

Springer Proceedings in Mathematics & Statistics This book series features volumes composed of selected contributions from workshops and conferences in all areas of current research in mathematics and statistics, including operation research and optimization. In addition to an overall evaluation of the interest, scientific quality, and timeliness of each proposal at the hands of the publisher, individual contributions are all refereed to the high quality standards of leading journals in the field. Thus, this series provides the research community with well-edited, authoritative reports on developments in the most exciting areas of mathematical and statistical research today.

More information about this series at http://www.springer.com/series/10533

Valarmathi Sigamani John J.H. Miller Ramanujam Narasimhan Paramasivam Mathiazhagan Franklin Victor •

Editors

Differential Equations and Numerical Analysis Tiruchirappalli, India, January 2015

123

Editors Valarmathi Sigamani Department of Mathematics Bishop Heber College Tiruchirappalli, Tamil Nadu India

Paramasivam Mathiazhagan Department of Mathematics Bishop Heber College Tiruchirappalli India

John J.H. Miller Institute for Numerical Computation and Analysis Dublin Ireland

Franklin Victor Department of Mathematics Bishop Heber College Tiruchirappalli India

Ramanujam Narasimhan Department of Mathematics Bharathidasan University Tiruchirappalli India

ISSN 2194-1009 ISSN 2194-1017 (electronic) Springer Proceedings in Mathematics & Statistics ISBN 978-81-322-3596-5 ISBN 978-81-322-3598-9 (eBook) DOI 10.1007/978-81-322-3598-9 Library of Congress Control Number: 2016943445 Mathematics Subject Classification (2010): 65L10, 65L11, 65L12, 65M06, 34K26, 34K28 © Springer India 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for a

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