Stability of the supersymmetric-discretised heat conduction13; equation in n-Dimension

Kumar, Anand (1999) Stability of the supersymmetric-discretised heat conduction13; equation in n-Dimension. Technical Report. CMMACS/ National Aerospace Laboratories, Bangalore, India.

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    Abstract

    The L two and L infinity, stability limits of the heat conduction equation in n-dimension are 1/2n, when the conventional differencing is employed. Using supersymmetric discretisation, which preserves the mean value property of the solutions of the Laplace equations, these limits are found to be 1/2 and 2 to the power of n-2 divided by 2 to the power of n-1, respectively. Thus while the L two stability limit remains dimension-independent, the L infinity, stability limit is greater than 1/4 for any n

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Supersymmetric;Heat conduction;Stability;Discret
    Subjects: MATHEMATICAL AND COMPUTER SCIENCES > Mathematical and Computer Scienes(General)
    Division/Department: CSIR Centre for Mathematical Modelling and Computer Simulation
    Depositing User: Mr. Ravikumar R
    Date Deposited: 19 Jul 2006
    Last Modified: 24 May 2010 09:44
    URI: http://nal-ir.nal.res.in/id/eprint/1902

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