A Compendium of Partial Differential Equation Models (Hardcover)

William E. Schiesser

ISBN 10: 0521519861 / ISBN 13: 9780521519861

Published by Cambridge University Press, Cambridge, 2009

About this Item

Hardcover. 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. Explains numerical methods, and associated computer codes in Matlab, for the solution of a spectrum of models expressed as ordinary and partial differential equations. The authors focus on the well-established method of lines, making the code easy to understand, implement, and modify. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9780521519861

Bibliographic Details

• Title: A Compendium of Partial Differential Equation Models (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2009
• Language: English
• ISBN 10: 0521519861
• ISBN 13: 9780521519861
• Binding: Hardcover
• Condition: new

About this title

Synopsis

A Compendium of Partial Differential Equation Models presents numerical methods and associated computer codes in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs), one of the mostly widely used forms of mathematics in science and engineering. The authors focus on the method of lines (MOL), a well-established numerical procedure for all major classes of PDEs in which the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and thus 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 as related to the associated equations of the PDE model.

About the Author

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. He is also a founder of Special Analysis and Simulation Technology Ltd. and has worked extensively in the field of dynamic simulation of physical and chemical processes.