A Compendium of Partial Differential Equation Models: Method of Lines Analysis with Matlab - Hardcover

Schiesser, William E.; Griffiths, Graham W.

Hardcover

ISBN 10: 0521519861 ISBN 13: 9780521519861

Publisher: Cambridge University Press, 2009

Synopsis

Mathematical modelling of physical and chemical systems is used extensively throughout science, engineering, and applied mathematics. To use mathematical models, one needs solutions to the model equations; this generally requires numerical methods. This book presents numerical methods and associated computer code in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs). The authors focus on the method of lines (MOL), a well-established procedure for all major classes of PDEs, where the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed line-by-line discussion of computer code related to the associated PDE model.

About this title

About the Authors

William E. Schiesser is the Emeritus R. L. McCann Professor of Chemical Engineering and a Professor of Mathematics at Lehigh University. He is also a visiting professor at the University of Pennsylvania and the co-author of the Cambridge book Computational Transport Phenomena.

Graham W. Griffiths is a visiting professor in the School of Engineering and Mathematical Sciences of City University, London, having previously been a senior visiting Fellow. He is also a founder of Special Analysis and Simulation Technology Ltd and has worked extensively in, and researched into, the field of dynamic simulation of chemical processes.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2009
• Language: English
• ISBN 10: 0521519861
• ISBN 13: 9780521519861
• Binding: Hardcover
• Edition number: 1
• Number of pages: 490