Numerical Techniques for Chemical and Biological Engineers Using MATLAB.pdf

Numerical Techniques

for Chemical and

Biological Engineers

Using

MATLAB®

Numerical Techniques

for Chemical and

Biological Engineers

Using

MATLAB®

A Simple

Bifurcation

Approach

Said Elnashaie

Frank Uhlig

with the assistance of

Chadia Affane

Professor Said

S.E.H. Elnashaie

Pennsylvania State University

at Harrisburg

Room TL 176 Capital College

777 W. Harrisburg Pike

Middletown, PA 17057-4898

sse10@psu.edu

Professor Frank Uhlig

Department of Mathematics

and Statistics

Auburn University

312 Parker Hall

Auburn, AL 36849

uhligfd@auburn.edu

Chadia Affane

Department of Mathematics

and Statistics

Auburn University

Auburn, AL 36849

affanac@auburn.edu

MATLAB® is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does

not warrant the accuracy of the text or exercises in this book. This book’s use or discussion of MATLAB®

software or related products does not constitute endorsement or sponsorship by The MathWorks of a

particular pedagogical approach or particular use of the MATLAB® software.

Library of Congress Control Number: 2006930111

ISBN-10: 0-387-34433-0

ISBN-13: 978-0-387-34433-1

Business Media, LLC

permission of the publisher (Springer Science

Business Media, LLC, 233 Spring Street, New York, NY 10013,

USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any

form of information storage and retrieval, electronic adaptation, computer software, or by similar or

dissimilar methodology now known or hereafter developed is forbidden.

The use in this publication of trade names, trademarks, service marks and similar terms, even if they are

not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject

to proprietary rights.

987654321

springer.com

S AID E LNASAIE

Born 1947, Cairo/Egypt; grew up in Egypt; married, two children,

three grandchildren.

Chemical Engineering student at Cairo University, University of

Waterloo, and University of Edinburgh.

B. S., Cairo University, 1968; M.S., U of Waterloo, Canada, 1970;

Ph.D., U Edinburgh, UK, 1973.

Postdoc, University of Toronto and McGill U, 1973 – 1974.

Professor, Cairo University, 1974 – 1992; King Saud University, Saudi

Arabia, 1986 – 1996; University of British Columbia,

Canada, 1990; University Putra Malaysia, 1996/97; King

Fahad University, Saudi Arabia, 1999; Auburn University,

1999 – 2005; Visiting Professor, U British Columbia,

Vancouver, 2004; U British Columbia, Vancouver, 2005 –

Vice President, Environmental Energy Systems and Services (EESS),

Egypt, 1996 – 1998.

Research Areas: Modeling, Simulation and Optimization of Chemical

and Biological Processes, Clean Fuels (Hydrogen, Biodiesel

and Ethanol), Fixed and Fluidized Bed Catalytic Reactors,

Nonlinear Dynamics, Bifurcation and Chaos,

Clean Technology, Utilization of Renewable Materials,

Sustainable Engineering.

300+ papers, 3+ books.

nashaie@chml.ubc.ca

F RANK U HLIG

Born 1945, Magdesprung, Germany; grew up in Mulheim/Ruhr,

Germany; married, two sons.

Mathematics student at University of Cologne, California Institute

of Technology.

Ph.D. CalTech 1972; Assistant, University of Wurzburg, RWTH

Aachen, Germany, 1972 – 1982.

Two Habilitations (Mathematics), University of Wurzburg 1977,

RWTH Aachen 1978.

Visiting Professor, Oregon State University 1979/1980;

Professor of Mathematics, Auburn University 1982 –

Two Fulbright Grants; (Co-)organizer of eight research conferences.

Research Areas: Linear Algebra, Matrix Theory, Numerical Analysis,

Numerical Algebra, Geometry, Krein Spaces, Graph

Theory, Mechanics, Inverse Problems, Mathematical

Education, Applied Mathematics, Geometric Computing.

50+ papers, 3+ books.

uhligfd@auburn.edu

www.auburn.edu/ ~ uhligfd

C HADIA A FFANE

Born 1968, Fes/Morocco; grew up in Morocco; married,

two children.

Engineering student at Ecole Superieure de Technologie, E.S.T.,

Fes, Morocco, 1989 – 1991.

Chemical engineering student at Texas A&M University, 1997 – 1999;

B.S. Texas A&M University, 1999.

MS in Applied Mathematics, Auburn University, 2003.

Ph. D. student, Mathematics, Auburn University, 2004 –

Research Areas: Numerical Analysis, Applied Mathematics.

affanac@auburn.edu

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