Skip to main content

Numerical Procedures for the Determination of an Unknown Source Parameter in a Parabolic Equation

  • Conference paper
Proceedings of the Conference on Applied Mathematics and Scientific Computing
  • 743 Accesses

Abstract

Numerical procedures for the solution of an inverse problem of determining unknown source parameter in a parabolic equation are considered. Two different numerical procedures are studied and their comparison analysis is presented. One of these procedures is obtained by introducing transformation of an unknown function, while the other is based on trace functional formulation of the problem.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. O.A. Ladyzhenskaya, V.A. Solonnikov, N.N. Uralceva, Linear and quasi-linear equations of parabolic type, Nauka, Moscow (1967).

    Google Scholar 

  2. A. G. Fatulllayev and Emine C., ‘Numerical procedures for determining unknown source parameter in parabolic equation', Mathematics and Computers in Simulation, 1845, 1–9 (2000).

    Google Scholar 

  3. Lin Y., ‘An inverse problem for a class of quasilinear parabolic equations', SIAM J. Math. Anal. 22, 146–156 (1991).

    Article  MATH  MathSciNet  Google Scholar 

  4. A.G. Fatullayev, ‘Numerical procedure for determination of an known parameter in a parabolic equation', Intern. J. Computer Math., 78, 103–109 (2001).

    MATH  MathSciNet  Google Scholar 

  5. Colton D., Ewing R., and Rundell W., Inverse problems in partial differential equation. SIAM Press, Philadelphia, 1990.

    Google Scholar 

  6. Cannon J.R. and Lin Y., ‘Determination of a paramter p(t) in some quasi-linear parabolic differential equations', Inverse Problems, 4, 35–45 (1998).

    Article  MathSciNet  Google Scholar 

  7. Cannon J.R. Lin Y. and Wang S., ‘Determination of source parameter in parabolic equations', Meccanica, 27, 85–94 (1992).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer

About this paper

Cite this paper

Baran, E.C. (2005). Numerical Procedures for the Determination of an Unknown Source Parameter in a Parabolic Equation. In: Drmač, Z., Marušić, M., Tutek, Z. (eds) Proceedings of the Conference on Applied Mathematics and Scientific Computing. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3197-1_10

Download citation

Publish with us

Policies and ethics