Wu, Guo-ChengBaleanu, DumitruBaleanu, DumitruLuo, Wei-Hua2019-12-192019-12-192017Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua (2017). Analysis Of Fractional Non-Linear Diffusion Behaviors Based On Adomian Polynomials, Thermal Science, 21(2), 813-817.0354-98362334-7163https://doi.org/10.2298/TSCI160416301WWu, Guo-Cheng/0000-0002-1946-6770A 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.eninfo:eu-repo/semantics/openAccessFractional CalculusTwo Fractional TermsNumerical SolutionsAdomian Decomposition MethodTaylor Series Of Fractional OrderArticle21281381710.2298/TSCI160416301W2-s2.0-85019728813WOS:000400720200006Q4Q3