Appendix F: Mathematical Methods
Published Online: 8 FEB 2006
DOI: 10.1002/0471776688.app6
Copyright © 2006 John Wiley & Sons, Inc.
Book Title
Introduction to Chemical Engineering Computing
Additional Information
How to Cite
Finlayson, B. A. (2006) Appendix F: Mathematical Methods, in Introduction to Chemical Engineering Computing, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471776688.app6
Publication History
- Published Online: 8 FEB 2006
- Published Print: 27 FEB 2006
ISBN Information
Print ISBN: 9780471740629
Online ISBN: 9780471776680
- Summary
- Chapter
Keywords:
- successive substitution;
- Newton-Raphson method;
- secant method;
- Euler method;
- Runge-Kutta method;
- implicit methods;
- differential-algebraic equations;
- finite difference method;
- finite element method;
- parabolic partial differential equations;
- elliptic partial differential equations
Summary
This appendix gives a broad-brush view of the mathematical methods that are used by the programs. Methods are described for algebraic equations, ordinary differential equations as initial value problems, ordinary differential equations as boundary value problems, partial differential equations in time and one space dimension, partial differential equation sin two space dimensions. The finite element method is described, and the finite difference method is described and programmed in Excel.