Quick search Find article
Quick search
Find article

Determination of the source term in the heat conduction equation

Arati Nanda and Purna C Das

Show affiliations


The inverse problem involving determination of the forcing function, depending not only on the unknown variable but also the space variable, is considered. However, the form of the function is assumed to be of the form f(u)+xg(u) assuming only an affine dependence on the space variable. The problem considered is defined on a finite space interval and non-negative time axis. The auxiliary conditions are prescribed at the boundaries of the space interval.


PACS

02.30.Jr Partial differential equations

44.10.+i Heat conduction

02.30.Zz Inverse problems

05.60.-k Transport processes

82.40.Ck Pattern formation in reactions with diffusion, flow and heat transfer

MSC

35K05 Heat equation

35K57 Reaction-diffusion equations

35R30 Inverse problems (undetermined coefficients, etc.) for PDE

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Chemical physics and physical chemistry

Dates

Issue 3 (June 1996)

Received 21 October 1994, in final form 14 February 1996



  1. Determination of the source term in the heat conduction equation

    Arati Nanda and Purna C Das 1996 Inverse Problems 12 325

  2. Combined isothermal and non-isothermal current measurements applied to space charge studies in low-density polyethylene

    M Carmo Lança et al 2002 J. Phys. D: Appl. Phys. 35 L29

  3. First law of thermodynamics and Friedmann equations of Friedmann-Robertson-Walker universe

    Rong-Gen Cai and Sang Pyo Kim JHEP02(2005)050

  4. Degradation of platinum based anticancer drugs by methionine: An EXAFS study

    K Provost et al 2009 J. Phys.: Conf. Ser. 190 012206

  5. Imaging moving targets from scattered waves

    Margaret Cheney and Brett Borden 2008 Inverse Problems 24 035005

  6. Self-aligned immobilization of proteins utilizing PEG patterns

    Lap Man Lee et al 2006 Nanotechnology 17 S29

  7. Inverse acoustic scattering in a half-space

    Svend Berntsen 2003 Inverse Problems 19 1247

  8. Recent trends in electrochemical DNA biosensor technology

    Kagan Kerman et al 2004 Meas. Sci. Technol. 15 R1

  9. Expansion and Collapse in the Cosmic Web

    Michael Rauch et al. 2005 ApJ 632 58

  10. Renormalised perturbation theory of normal systems

    C J Lambert and W E Hagston 1981 J. Phys. A: Math. Gen. 14 1533

Users also read

What's this?
This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.

  1. Structural identification of an unknown source term in a heat equation

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.