Chapter 4. Simple Time-Dependent Examples

  1. Richard Ghez

Published Online: 28 JAN 2005

DOI: 10.1002/3527602836.ch4

A Primer of Diffusion Problems

A Primer of Diffusion Problems

How to Cite

Ghez, R. (1988) Simple Time-Dependent Examples, in A Primer of Diffusion Problems, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527602836.ch4

Author Information

  1. IBM Thomas J. Watson Research Center, Yorktown Heights, New York, USA

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 20 JUL 1988

ISBN Information

Print ISBN: 9780471846925

Online ISBN: 9783527602834



  • diffusion problems;
  • time-dependent examples;
  • Gaussian;
  • error functions;
  • crystal growth;
  • product solutions


This chapter contains sections titled:

  • The Gaussian and One of Its Relatives

    • Impurity diffusion in a half space

  • The Gaussian and Another of Its Relatives

    • Stokes's first problem

  • Two Applications of Error Functions to One-dimensional Phases

    • Two-phase temperature equilibration

    • A one-phase Stefan problem

  • The Gaussian Has Yet More Relatives

    • Heating problem for a half space

  • Crystal Growth Under Conditions of Constant Cooling Rate

  • Product Solutions for Higher-Dimensional Problems

  • References