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Computational Partial
Differential Equations
Using MATLAB®
CHAPMAN & HALL/CRC APPLIED MATHEMATICS
AND NONLINEAR SCIENCE SERIES
Series Editors Goong Chen and Thomas J. Bridges
Published Titles
Computing with hp-ADAPTIVE FINITE ELEMENTS, Volume 1, One and Two Dimensional
Elliptic and Maxwell Problems, Leszek Demkowicz
Computing with hp-ADAPTIVE FINITE ELEMENTS, Volume 2, Frontiers: Three
Dimensional Elliptic and Maxwell Problems with Applications, Leszek Demkowicz,
Jason Kurtz, David Pardo, Maciej Paszy´nski, Waldemar Rachowicz, and Adam Zdunek
CRC Standard Curves and Surfaces with Mathematica
®
: Second Edition,
David H. von Seggern
Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in
Mechanics and Physics, Victor A. Galaktionov and Sergey R. Svirshchevskii
Geometric Sturmian Theory of Nonlinear Parabolic Equations and Applications,
Victor A. Galaktionov
Introduction to Fuzzy Systems, Guanrong Chen and Trung Tat Pham
Introduction to non-Kerr Law Optical Solitons, Anjan Biswas and Swapan Konar
Introduction to Partial Differential Equations with MATLAB
®
, Matthew P. Coleman
Introduction to Quantum Control and Dynamics, Domenico D’Alessandro
Mathematical Methods in Physics and Engineering with Mathematica, Ferdinand F. Cap
Mathematical Theory of Quantum Computation, Goong Chen and Zijian Diao
Mathematics of Quantum Computation and Quantum Technology, Goong Chen,
Louis Kauffman, and Samuel J. Lomonaco
Mixed Boundary Value Problems, Dean G. Duffy
Multi-Resolution Methods for Modeling and Control of Dynamical Systems,
Puneet Singla and John L. Junkins
Optimal Estimation of Dynamic Systems, John L. Crassidis and John L. Junkins
Quantum Computing Devices: Principles, Designs, and Analysis, Goong Chen,
David A. Church, Berthold-Georg Englert, Carsten Henkel, Bernd Rohwedder,
Marlan O. Scully, and M. Suhail Zubairy
Stochastic Partial Differential Equations, Pao-Liu Chow
Computational Partial
Differential Equations
Using MATLAB®
CHAPMAN & HALL/CRC APPLIED MATHEMATICS
AND NONLINEAR SCIENCE SERIES
Jichun Li
University of Nevada
Las Vegas, NV, U.S.A.
Yi-Tung Chen
University of Nevada
Las Vegas, NV, U.S.A.
MATLAB® and Simulink® are trademarks of the Math Works, Inc. and are used with permission. The Math-
works does not warrant the accuracy of the text or exercises in this book. This book’s use or discussion of
MATLAB® and Simulink® software or related products does not constitute endorsement or sponsorship by
the Math Works of a particular pedagogical approach or particular use of the MATLAB® and Simulink®
software.
CRC Press
Taylor & Francis Group
6000 Broken Sound Parkway NW, Suite 300
Boca Raton, FL 33487-2742
© 2008 by Taylor & Francis Group, LLC
CRC Press is an imprint of Taylor & Francis Group, an Informa business
No claim to original U.S. Government works
Version Date: 20131121
International Standard Book Number-13: 978-1-4200-8905-9 (eBook - PDF)
This book contains information obtained from authentic and highly regarded sources. Reasonable efforts
have been made to publish reliable data and information, but the author and publisher cannot assume
responsibility for the validity of all materials or the consequences of their use. The authors and publishers
have attempted to trace the copyright holders of all material reproduced in this publication and apologize to
copyright holders if permission to publish in this form has not been obtained. If any copyright material has
not been acknowledged please write and let us know so we may rectify in any future reprint.
Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmit-
ted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented,
including photocopying, microfilming, and recording, or in any information storage or retrieval system,
without written permission from the publishers.
For permission to photocopy or use material electronically from this work, please access www.copyright.
com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood
Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provides licenses and
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