TY - JOUR
TI - Numerical analysis of time fractional three dimensional diffusion equation
AU - Atangana Abdon
JN - Thermal Science
PY - 2015
VL - 19
IS - 11
SP - 7
EP - 12
PT - Article
AB - The three dimensional diffusion equations were extended to the scope of  fractional order derivative. The fractional operator used here is in Caputo  sense. The resulting equation was solved using two numerical approaches: The  forward in time and central in space method and the Crank-Nicholson method.  The stability analysis of both methods was studied, and the study showed that  the Crank-Nicholson method is unconditionally stable while the forward method  is stable if some conditions are satisfied.