Skip to main content

Numerical Simulation of One Dimensional Heat Conduction Equation for Inverse Problem

  • Conference paper
  • 2258 Accesses

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 243))

Abstract

Boundary integral method was adopted to deal with ill-conditions occurred while solving inverse problem of heat conduction equation. Given initial value and boundary value, and fundamental solution of differential equations, the integral equation was obtained, which was needed to solve on the boundary of the region Ω. In the end, we give numerical results.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Jia, X.: Some inverse problems of heat conduction equations, p. 9. Fudan University (2005)

    Google Scholar 

  2. Li, R., Feng, G.: Numerical Solution of Differential Equations, p. 4. Higher Education Press (2001)

    Google Scholar 

  3. Kirsch, A.: An Introduction to the Mathematical Theory of Inverse Problems. Applied Mathematical Sciences 120, 10 (1999)

    Google Scholar 

  4. Ma, F.: Finite difference domain decomposition method for two dimensional heat equation. Numerical Computation and Application of Computers 27(2), 96–105 (2006)

    Google Scholar 

  5. Jia, X., Wang, Y.: Solving inverse heat conduction problem by boundary integral method. Journal of Ningxia University 24(3), 9 (2003)

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, D., Zhang, Q., Gao, Y., Zheng, R. (2011). Numerical Simulation of One Dimensional Heat Conduction Equation for Inverse Problem. In: Liu, C., Chang, J., Yang, A. (eds) Information Computing and Applications. ICICA 2011. Communications in Computer and Information Science, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27503-6_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-27503-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27502-9

  • Online ISBN: 978-3-642-27503-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics