3. Separation of Variables in the Rectangular Coordinate System

  1. David W. Hahn and
  2. M. Necati Özişik

Published Online: 28 AUG 2012

DOI: 10.1002/9781118411285.ch3

Heat Conduction, Third Edition

Heat Conduction, Third Edition

How to Cite

Hahn, D. W. and Özişik, M. N. (2012) Separation of Variables in the Rectangular Coordinate System, in Heat Conduction, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118411285.ch3

Author Information

  1. Raleigh, North Carolina, USA

Publication History

  1. Published Online: 28 AUG 2012
  2. Published Print: 15 AUG 2012

ISBN Information

Print ISBN: 9780470902936

Online ISBN: 9781118411285

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Keywords:

  • transient, boundary value problem of heat conduction;
  • multidimensional, transient homogeneous problem;
  • method of superposition and nonhomogeneous problems;
  • homogeneous PDE and a nonhomogeneous ODE

Summary

This chapter contains sections titled:

  • Basic Concepts in the Separation of Variables Method

  • Generalization to Multidimensional Problems

  • Solution of Multidimensional Homogenous Problems

  • Multidimensional Nonhomogeneous Problems: Method of Superposition

  • Product Solution

  • Capstone Problem

  • References

  • Problems