2. Orthogonal Functions, Boundary Value Problems, and the Fourier Series

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

Published Online: 28 AUG 2012

DOI: 10.1002/9781118411285.ch2

Heat Conduction, Third Edition

Heat Conduction, Third Edition

How to Cite

Hahn, D. W. and Özişik, M. N. (2012) Orthogonal Functions, Boundary Value Problems, and the Fourier Series, in Heat Conduction, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118411285.ch2

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:

  • orthogonal functions, boundary value, and Fourier series;
  • Sturm–Liouville equation as a form of Legendre's equation;
  • Legendre polynomials of the first and second kind;
  • Fourier sine integral and temperature boundary condition

Summary

This chapter contains sections titled:

  • Orthogonal Functions

  • Boundary Value Problems

  • The Fourier Series

  • Computation of Eigenvalues

  • Fourier Integrals

  • References

  • Problems