Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 87, 2010 - Issue 5
Submit an article Journal homepage
193
Views
9
CrossRef citations to date
0
Altmetric
Section A

Determination of a source term in a heat equation

Jinbo Liu Department of Mathematics, Changsha University of Science and Technology , Changsha, Hunan, P.R. China
,
Baiyu Wang School of Mathematical Science and Computing Technology, Central South University , Changsha, Hunan, P.R. China
&
Zhenhai Liu School of Mathematical Science and Computing Technology, Central South University , Changsha, Hunan, P.R. China
Pages 969-975 | Received 06 Nov 2007, Accepted 05 Mar 2008, Published online: 10 May 2010

References

  • Colton, D. , Ewing, R. , and Rundell, W. , 1990. Inverse Problems in Partial Differential Equation . Philadelphia, PA: SIAM Press; 1990.
  • Farcas, A. , and Lesnic, D. , 2006. The boundary-element method for the determination of a heat source dependent on one variable , J. Eng. Math. 54 (2006), pp. 375–388.
  • Fatullayev, A. G. , 2002. Numerical solution of the inverse problem of determining an unknown source term in a heat equation , Math. Comput. Simul. 58 (2002), pp. 247–253.
  • Fatullayev, A. G. , and Can, E. , 2000. Numerical procedures for determining unknown source parameters in parabolic equations , Math. Comput. Simul. 54 (2000), pp. 159–167.
  • Ladyzhenskaya, O. A. , Solonnikov, V. A. , and Uralceva, N. N. , 1967. Linear and Quasi-linear Equations of Parabolic Type . Moscow: Nauka; 1967, in Russian.
  • Liu, Z. H. , 1994. On the identification of coefficients of semilinear parabolic equation , Acta Math. Appl. Sinica 10 (1994), pp. 356–367.
  • Liu, Z. H. , 1999. Identification of parameters in semilinear parabolic equation , Acta Math. Sci. 19 (1999), pp. 175–180.
  • Malyshev, I. , 1989. An inverse source problem for heat equation , J. Math. Anal. Appl. 142 (1989), pp. 206–218.
  • Rundell, W. , 1980. The determination of an unknown non-homogeneous term in linear partial differential equations from overspecified data , Appl. Anal. 10 (1980), pp. 231–242.
  • Savateev, E. G. , 1995. On problems of determining the source function in a parabolic equation , J. Inv. Ill-Posed Prob. 3 (1995), pp. 83–102.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.