## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Analysis of fractional nonliear diffuision behaviors based on Adomian polynomials

**ABSTRACT**

A time-fractional nonlinear diffusion equation of two orders is considered to investigate strong nonlinearity through porous media. An equivalent integral equation is established and Adomian polynomials are adopted to linearize nonlinear 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.

**KEYWORDS**

PAPER SUBMITTED: 2016-04-16

PAPER REVISED: 2016-05-21

PAPER ACCEPTED: 2016-06-15

PUBLISHED ONLINE: 2016-12-03

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