TY - JOUR
TI - Starting radial subdiffusion from a central point through a diverging medium (a sphere): Heat-balance integral method
AU - Hristov Jordan Y
JN - Thermal Science
PY - 2011
VL - 15
IS - 11
SP - 5
EP - 20
PT - Article
AB - The work presents an integral solution of the time-fractional subdiffusion  equation as alternative approach to those employing hypergeometric functions.  The integral solution suggests a preliminary defined profile with unknown  coefficients and the concept of penetration (boundary layer) well known from  the heat diffusion and hydrodynamics. The profile satisfies the boundary  conditions imposed at the boundary of the boundary layer that allows its  coefficients to be expressed through the boundary layer depth as unique  parameter describing the profile. The technique is demonstrated by a solution  of a time fractional radial equation concerning anomalous diffusion from a  central point source in a sphere.