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) |
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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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