Browsing by Author "Eshetu Abebe"

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    The Cauchy- Problem With the Heat Equation
    (Addis Ababa University, 2014-06-06) Eshetu Abebe; Abdi Tadesse (PhD)
    This report attempts to study solution of explicit linear PDE of second order, the heat equation u k u f t With certain symmetry condition on the solution u .In this regard, some sort of scaling of variables is introduced and pertinent scaling transformation T that leaves the ratio t x 2 unchanged is shown to usher to a solution of the form: t x u x t v 2 , Which is radial and hence a symmetric function.