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Appendix F: Mathematical Methods

  1. Bruce A. Finlayson

Published Online: 8 FEB 2006

DOI: 10.1002/0471776688.app6

Introduction to Chemical Engineering Computing

Introduction to Chemical Engineering Computing

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

Author Information

  1. University of Washington, Seattle, Washington, USA

Publication History

  1. Published Online: 8 FEB 2006
  2. Published Print: 27 FEB 2006

ISBN Information

Print ISBN: 9780471740629

Online ISBN: 9780471776680



  • 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


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.