Transcription of NUMERICALSOLUTIONOF ORDINARYDIFFERENTIAL …
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NUMERICALSOLUTIONOF ORDINARYDIFFERENTIAL …
numerical SOLUTION OFORDINARY DIFFERENTIALEQUATIONSK endall Atkinson, Weimin Han, David StewartUniversity of IowaIowa City, IowaA JOHN WILEY & SONS, INC., PUBLICATIONC opyrightc 2009 by John Wiley & Sons, Inc. All rights by John Wiley & Sons, Inc., Hoboken, New simultaneously in part of this publication may be reproduced, stored in a retrieval system, or transmitted in any formor by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except aspermitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the priorwritten permission of the Publisher, or authorization through payment of the appropriate per-copy fee tothe Copyright Clearance Center, Inc.
differential equations is also introduced. The simplest numerical method, Euler’s method, is studied in Chapter 2. It is not an efficient numerical meth od, but it is an intuitiveway tointroducemanyimportantideas. Higher-orderequationsandsystems of first-order equations are considered in Chapter 3, and Euler’s method is extended 1
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