TY - JOUR
TI - Analysis of fractional non-linear diffusion behaviors based on Adomian polynomials
AU - Wu Guo-Cheng
AU - Baleanu Dumitru
AU - Luo Wei-Hua
JN - Thermal Science
PY - 2017
VL - 21
IS - 2
SP - 813
EP - 817
PT - Article
AB - A time-fractional non-linear diffusion equation of two orders is considered to investigate strong non-linearity through porous media. An equivalent integral equation is established and Adomian polynomials are adopted to linearize non-linear terms. With the Taylor expansion of fractional order, recurrence formulae are proposed and novel numerical solutions are obtained to depict the diffusion behaviors more accurately. The result shows that the method is suitable for numerical simulation of the fractional diffusion equations of multi-orders.