Analysis of fractional non-linear diffusion behaviors based on Adomian polynomials
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, recur...
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| Veröffentlicht in: | Thermal science 2017, Vol.21 (2), p.813-817 |
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| creator | Wu, Guo-Cheng Baleanu, Dumitru Luo, Wei-Hua |
| description | 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.
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| doi_str_mv | 10.2298/TSCI160416301W |
| format | Article |
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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.
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Free Full-Text Journals in Chemistry |
| subjects | Computer simulation Diffusion Integral equations Linearity Nonlinear analysis Nonlinearity Polynomials Porous media Taylor series |
| title | Analysis of fractional non-linear diffusion behaviors based on Adomian polynomials |
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